CN114969893A

CN114969893A - Ceiling keel design method based on internal and external corner identification and storage medium

Info

Publication number: CN114969893A
Application number: CN202210435937.6A
Authority: CN
Inventors: 李亚男; 李坚弘; 王昂; 连文强
Original assignee: Beta Technology Beijing Co ltd
Current assignee: Seashell Housing Beijing Technology Co Ltd
Priority date: 2022-04-24
Filing date: 2022-04-24
Publication date: 2022-08-30

Abstract

The embodiment of the invention provides a ceiling keel design method based on internal and external corner identification and a storage medium, wherein the method comprises the following steps: acquiring house type data and suspended ceiling modeling data; obtaining ceiling peaks, and arranging to form directed ceiling edges; constructing a spatial surface object; acquiring a first space surface object and a second space surface object with an intersection line, and acquiring a first projection line vector and a second projection line vector; determining the type of a negative and positive angle formed by the first space surface object and the second space surface object according to the first projection line vector, the second projection line vector, and the normal vector of the first space surface object and the normal vector of the second space surface object; and generating keel types of corresponding yin and yang angular positions according to the types of the yin and yang angles. According to the embodiment of the invention, the geometrical quantity is constructed based on the ceiling data, the internal and external corner types are automatically obtained by utilizing vector calculation, and the keel types are correspondingly set, so that keel design at the internal and external corner positions is realized, and BIM design capability is enhanced.

Description

Ceiling keel design method based on internal and external corner identification and storage medium

Technical Field

The embodiment of the invention relates to a ceiling keel design method based on internal and external corner identification and a storage medium.

Background

The decoration BIM (Building Information Modeling) is a digital model which is based on various relevant Information data of decoration project and provides service for the whole life cycle design, construction and operation of the decoration project. The designer uses the BIM software to design the decoration scheme for the customer, and the designer does not know the arrangement rule of the suspended ceiling keels in all the service scenes, so that the whole design drawing cannot be manually completed. Even if designers know the design rules of the suspended ceiling keel of all business scenes, the design is troublesome and the efficiency is low.

The internal corner and the external corner are inevitable, but complex scenes in decoration service scenes. At present, no automatic ceiling keel design method for male and female corners exists.

Disclosure of Invention

The embodiment of the invention provides a ceiling keel design method based on internal and external corner identification, which comprises the following steps: acquiring house type data and suspended ceiling modeling data of a suspended ceiling; the suspended ceiling modeling data comprises the shape and the position of the suspended ceiling; the method comprises the steps that ceiling vertexes of a ceiling are obtained according to ceiling modeling data, and a plurality of directed ceiling edges are formed on the ceiling vertexes of the ceiling according to a preset ceiling vertex arrangement direction; a face image configured with a suspended ceiling edge; the space surface object is vertical to the ground, the edge vectors of the space surface object comprise directed suspended ceiling edges, and all the edge vectors in the space surface object are connected end to end; traversing the space surface object of the suspended ceiling, and acquiring at least one group of first space surface object and second space surface object with an intersecting line; determining a projection plane according to the normal vector of the first space surface object and the normal vector of the second space surface object, and projecting the first space surface object and the second space surface object to the projection plane to obtain a first projection line vector corresponding to the first space surface object and a second projection line vector corresponding to the second space surface object; determining the type of a negative and positive angle formed by the first space surface object and the second space surface object according to the first projection line vector, the second projection line vector, and the normal vector of the first space surface object and the normal vector of the second space surface object; and generating keel types of corresponding yin and yang angular positions according to the types of the yin and yang angles.

Embodiments of the present invention further provide a non-transitory computer-readable storage medium, on which a computer program is stored, where the computer program, when executed by a processor, implements the steps of any one of the above ceiling keel design methods based on internal and external corner identification.

According to the ceiling keel design method and the storage medium based on the internal and external corner identification, the geometrical quantity is constructed based on the ceiling data, the internal and external corner types are automatically obtained by utilizing vector calculation, and the keel types are correspondingly set, so that keel design at the internal and external corner positions is realized, and BIM design capability is enhanced.

Drawings

In order to more clearly illustrate the technical solution of the present invention, the drawings required for the description of the embodiments will be briefly introduced below, and it is obvious that the drawings in the following description are some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings without creative efforts.

Fig. 1 is a schematic flow chart of a ceiling keel design method based on internal and external corner identification according to an embodiment of the invention;

FIG. 2 is a schematic view of a ceiling apex of a suspended ceiling in a ceiling grid design method based on internal and external corner identification according to an embodiment of the present invention;

fig. 3 is a schematic diagram of a spatial surface object constructed in the ceiling keel design method based on internal and external corner identification according to the embodiment of the invention;

fig. 4 is a schematic diagram of a line intersecting two space surface objects in the ceiling keel design method based on internal and external corner identification according to the embodiment of the invention;

fig. 5 is a schematic diagram of a first projection line vector and a second projection line vector in a ceiling keel design method based on internal and external corner identification according to an embodiment of the invention;

fig. 6 is a schematic view of a ceiling model in the ceiling joist design method based on internal and external corner identification according to the embodiment of the invention;

FIG. 7 is a schematic view of the ceiling configuration of FIG. 6 after changing the direction of the ceiling apex arrangement;

fig. 8 is a second schematic flow chart of a ceiling keel design method based on internal and external corner identification according to an embodiment of the invention;

fig. 9 is a schematic structural diagram of a ceiling keel design device based on internal and external corner identification according to an embodiment of the invention;

fig. 10 is a schematic structural diagram of an electronic device according to an embodiment of the present invention.

Detailed Description

In order to make the objects, technical solutions and advantages of the present invention clearer, the technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings, and it is obvious that the described embodiments are some, but not all embodiments of the present invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.

Fig. 1 is a schematic flow chart of a ceiling keel design method based on internal and external corner identification according to an embodiment of the invention. As shown in fig. 1, the method comprises:

101, acquiring house type data and suspended ceiling modeling data of a suspended ceiling; wherein, the ceiling modeling data comprises the shape and position of the ceiling.

The ceiling keel design method based on the internal and external corner identification provided by the embodiment of the invention can be operated on a computer or other electronic equipment of a server or a client.

And acquiring house type data and ceiling model data of at least one suspended ceiling. The at least one suspended ceiling may comprise all suspended ceilings for which the current house is to be designed. The house type data comprises original house type data such as rooms, wall surfaces and the like. The ceiling modeling data includes the shape and position of the ceiling. The location of the suspended ceiling may, for example, comprise a coordinate range of the suspended ceiling. According to the position data of the suspended ceiling, the mapping relation between the data of a room and the suspended ceiling, the data of the wall surface and the suspended ceiling and the like can be obtained through geometric calculation such as vector calculation, point-to-line distance calculation, point-to-line translation coordinate calculation and the like. Of course, the mapping relation between the suspended ceiling and the room can be obtained according to the mapping relation between the suspended ceiling and the wall surface.

And 102, obtaining the ceiling vertexes of the suspended ceiling according to the ceiling modeling data, wherein the ceiling vertexes of the suspended ceiling form a plurality of directed ceiling edges according to the preset ceiling vertex arrangement direction.

The ceiling vertex of at least one ceiling is obtained according to the ceiling modeling data, and the ceiling vertex can also be called a ceiling modeling point. The ceiling top point of each ceiling forms a plurality of directed ceiling edges according to the preset ceiling top point arrangement direction. The individual ceiling vertices form ordered points.

Fig. 2 is a schematic view of a ceiling vertex of a ceiling in a ceiling keel design method based on internal and external corner identification according to an embodiment of the invention. As shown in FIG. 2, the suspended ceiling comprises A, B, D, C four suspended ceiling vertexes, and the suspended ceiling vertexes are sequentially connected in a counterclockwise direction to form a directed suspended ceiling edge.

103, constructing a space surface object with an upward suspended top edge; the space surface object is perpendicular to the ground, the edge vectors of the space surface object comprise directed suspended ceiling edges, and all the edge vectors in the space surface object are connected end to end.

Based on the directed ceiling edge, the construction space face object may extend from the directed ceiling edge in a direction close to the ground or in a direction away from the ground, and the directed ceiling edge will be an edge vector of the construction space face object. The edge vectors in the space surface object are connected end to end. Because the direction of the directed ceiling edge is formed, other edge vectors in the space surface object are connected with the directed ceiling edge end to end. The spatial surface image may include information of vertices, lines, and normal vectors of the spatial surface.

Fig. 3 is a schematic diagram of a spatial surface object constructed in the ceiling keel design method based on internal and external corner identification according to the embodiment of the invention. As shown in fig. 3, a space plane vector BB' D is constructed based on the directed ceiling edge BD, and the direction of the normal vector is leftward in the right-hand coordinate system (the direction of the normal vector is determined from the right-hand helix).

And 104, traversing the space surface objects of the suspended ceiling to obtain at least one group of first space surface objects and second space surface objects with one intersecting line.

And traversing the space surface objects of the suspended ceilings, and judging through the intersection relationship to obtain at least one group of first space surface objects and second space surface objects with one intersection line. When judging whether two space surface objects are intersected or not, whether the two space surface objects belong to the same suspended ceiling or different suspended ceilings is not distinguished. That is, this application can discern the internal and external corner that forms or the internal and external corner that forms between the different furred ceilings in same furred ceiling.

The first space plane object and the second space plane object do not refer to any space plane object, but refer to two space plane objects with an intersection line.

Fig. 4 is a schematic diagram of a line intersecting two space surface objects in the ceiling keel design method based on internal and external corner identification according to the embodiment of the invention.

And 105, determining a projection plane according to the normal vector of the first space surface object and the normal vector of the second space surface object, and projecting the first space surface object and the second space surface object to the projection plane to obtain a first projection line vector corresponding to the first space surface object and a second projection line vector corresponding to the second space surface object.

And determining a projection plane according to the normal vector of the first space surface object and the normal vector of the second space surface object. The normal vector of the projection plane may be a cross-product vector of the normal vector of the first space plane object and the normal vector of the second space plane object. And projecting the first space surface object and the second space surface object to a projection plane to obtain a first projection line vector corresponding to the first space surface object and a second projection line vector corresponding to the second space surface object.

Fig. 5 is a schematic diagram of a first projection line vector and a second projection line vector in a ceiling keel design method based on internal and external corner identification according to an embodiment of the invention. In fig. 5, the first spatial surface object is indicated by a dotted line, and the second spatial surface object is indicated by a solid line. By projecting the first space surface object and the second space surface object to the projection plane, the projection of the intersection line on the projection plane, the projection of at least one ceiling vertex of the first space surface object on the projection plane, and the projection of at least one ceiling vertex of the second space surface object on the projection plane can be obtained. The projection of the intersection line on the projection plane and the projection of at least one ceiling vertex of the first space surface object on the projection plane can determine a first projection line vector, and the projection of the intersection line on the projection plane and the projection of at least one ceiling vertex of the second space surface object on the projection plane can determine a second projection line vector.

In the identification of the internal and external corners of the embodiment of the invention, the directions of the first projection line vector and the second projection line vector are mainly utilized, and the lengths of the first projection line vector and the second projection line vector do not need to be strictly limited.

And 106, determining the type of the internal and external angles formed by the first space surface object and the second space surface object according to the first projection line vector, the second projection line vector, the normal vector of the first space surface object and the normal vector of the second space surface object.

When the first space surface object and the second space surface object form an internal corner or an external corner, the first projection line vector, the second projection line vector, the normal vector of the first space surface object and the normal vector of the second space surface object have different constraint relations. Therefore, the type of the inside and outside corner formed by the first and second space-plane objects can be determined according to the first projection line vector, the second projection line vector, the normal vector of the first space-plane object, and the normal vector of the second space-plane object.

And step 107, generating keel types of corresponding yin and yang angular positions according to the types of the yin and yang angles.

After the internal and external corner types are determined, if the external corner or the internal corner is determined, the keel types of the corresponding internal and external corner positions are generated according to the types of the internal and external corners, so that the automatic identification of the internal and external corner positions and keel design are realized.

According to the ceiling keel design method based on internal and external corner identification, provided by the embodiment of the invention, the geometrical quantity is constructed based on the ceiling data, the internal and external corner types are automatically obtained by utilizing vector calculation, and the keel types are correspondingly set, so that keel design at the internal and external corner positions is realized, and the BIM design capability is enhanced.

According to the ceiling keel design method based on the internal and external corner identification, provided by the embodiment of the invention, the method further comprises the following steps: acquiring the relation between the ceiling vertex and the ground according to the ceiling modeling data and the house type data; responsive to the directed suspended ceiling edge being non-parallel to the ground surface, no space-plane object is constructed for the corresponding directed suspended ceiling edge.

If the directed ceiling edge is not parallel to the ground, the ceiling edge is located on the wall surface, and the wall surface is perpendicular to the ground, the space surface object constructed according to the directed ceiling edge is located on the wall surface. In embodiments of the present invention, the wall surface does not include a floor surface and a roof.

According to the ceiling keel design method based on the internal and external corner identification, provided by the embodiment of the invention, the relation between the ceiling vertex and the ground is obtained according to the ceiling modeling data and the house type data, and in response to the fact that the directed ceiling edge is not parallel to the ground, a space surface object is not constructed for the corresponding directed ceiling edge, so that extra calculation amount is avoided.

According to the ceiling keel design method based on the internal and external corner identification, the keel types of the corresponding internal and external corner positions are generated according to the types of the internal and external corners, and the method comprises the following steps: in response to the first and second space surface objects forming an external corner, generating a side keel at the corresponding external corner position; in response to the first and second space face objects forming an internal corner, a cross runner is generated at the corresponding internal corner location.

When the keel type of the corresponding yin-yang angular position is generated according to the type of the yin-yang angle, if the first space surface object and the second space surface object form the yang angle, the side keel is generated at the corresponding yang angle position, and if the first space surface object and the second space surface object form the yin angle, the auxiliary keel is generated at the corresponding yin angle position.

According to the ceiling keel design method based on internal and external corner identification, provided by the embodiment of the invention, the external corner is formed by responding to the first space surface object and the second space surface object, the side keel is generated at the corresponding external corner position, and the internal corner is formed by responding to the first space surface object and the second space surface object, the auxiliary keel is generated at the corresponding internal corner position, so that the practicability is improved.

According to the ceiling keel design method based on the internal and external corner identification, provided by the embodiment of the invention, the method further comprises the following steps: designing keel arrangement of a corresponding suspended ceiling based on suspended ceiling modeling data of the suspended ceiling; integrating the keel arrangement of the suspended ceiling and the design results of keel types at the positions of the male corners and the female corners to obtain the arrangement data of the suspended ceiling keels; writing the ceiling keel arrangement data into the house type data to obtain the house type data containing the ceiling keel arrangement data; and rendering the house type data containing the arrangement data of the suspended ceiling keel to obtain a house type display result of the arranged suspended ceiling keel.

The furred ceiling of every furred ceiling molding data, the fossil fragments of the corresponding furred ceiling of rule design are arranged based on single furred ceiling fossil fragments are arranged. The single suspended ceiling keel arrangement rules are such as keel arrangement according to keel configuration rules, keel avoidance rules, keel materials and the like. And integrating the obtained keel arrangement of at least one suspended ceiling and the design results of keel types of the yin-yang angular positions to obtain suspended ceiling keel arrangement data.

Writing the suspended ceiling keel arrangement data into the house type data to obtain the house type data containing the suspended ceiling keel arrangement data; and rendering the house type data containing the arrangement data of the suspended ceiling keel to obtain a house type display result of the arranged suspended ceiling keel.

According to the ceiling keel design method based on the internal and external corner identification, keel arrangement of a corresponding ceiling is designed according to ceiling modeling data based on the ceiling; integrating the keel arrangement of the suspended ceiling and the design results of keel types at the positions of the male corners and the female corners to obtain the arrangement data of the suspended ceiling keels; writing the ceiling keel arrangement data into the house type data to obtain the house type data containing the ceiling keel arrangement data; the house type data containing the arrangement data of the suspended ceiling keel are rendered, a house type display result of the distributed suspended ceiling keel is obtained, and house type display of the distributed suspended ceiling keel is achieved.

According to the ceiling keel design method based on the internal and external corner identification, provided by the embodiment of the invention, a first projection line vector and a second projection line vector are connected end to end; determining the type of the inside and outside corner formed by the first space surface object and the second space surface object according to the first projection line vector, the second projection line vector, and the normal vector of the first space surface object and the normal vector of the second space surface object, comprising:

calculating a first cross multiplication vector obtained by cross multiplication of the first projection line vector and a normal vector of the first space surface object, and calculating a second cross multiplication vector obtained by cross multiplication of the second projection line vector and a normal vector of the second space surface object;

confirming that the first space surface object and the second space surface object form an inside and outside corner in response to the first cross multiplication vector and the second cross multiplication vector being in the same direction; confirming that the first space surface object and the second space surface object do not form a negative and positive angle in response to the first cross multiplication vector and the second cross multiplication vector being in different directions;

and acquiring the direction of a third cross multiplication vector obtained by cross multiplication of the normal vector of the first space surface object and the normal vector of the second space surface object in response to the fact that the first space surface object and the second space surface object form a yin-yang angle, and acquiring the type of the yin-yang angle formed by the first space surface object and the second space surface object according to the difference between the direction of the first cross multiplication vector or the second cross multiplication vector and the direction of the third cross multiplication vector.

And performing cross multiplication on the first projection line vector and the normal vector of the first space surface object to obtain a first cross multiplication vector. And performing cross multiplication on the second projection line vector and the normal vector of the second space surface object to obtain a second cross multiplication vector.

And acquiring whether the first space surface object and the second space surface object form a negative and positive angle according to the difference and the sameness of the directions of the first cross multiplication vector and the second cross multiplication vector.

When the first projection line vector and the second projection line vector are connected end to end, the first cross multiplication vector and the second cross multiplication vector are in the same direction, and the first space surface object and the second space surface object are confirmed to form an internal corner and an external corner; the first cross multiplication vector and the second cross multiplication vector are different in direction, and it is confirmed that the first space surface object and the second space surface object do not form a yin-yang angle.

The specific judgment method for obtaining the result of whether the first space surface object and the second space surface object form the internal and external angles is related to whether the first projection line vector and the second projection line vector are connected end to end or are opposite end to end according to the difference and the sameness of the directions of the first cross multiplication vector and the second cross multiplication vector.

When the first projection line vector and the second projection line vector are opposite in head and tail, the first cross multiplication vector and the second cross multiplication vector are in different directions, and the first space surface object and the second space surface object are confirmed to form an internal and external corner; and the first cross multiplication vector and the second cross multiplication vector are in the same direction, and the first space surface object and the second space surface object are confirmed not to form a negative and positive angle.

However, if the first projection line vector and the second projection line vector are opposite end to end, the first cross multiplication vector and the second cross multiplication vector have different directions when the yin-yang angle exists, and when the yin-yang angle type is judged, the rule for judging the yin-yang angle type according to the difference of the directions of the first cross multiplication vector and the third cross multiplication vector is different from the rule for judging the yin-yang angle type according to the difference of the directions of the second cross multiplication vector and the third cross multiplication vector. Therefore, it is necessary to distinguish between the first cross-multiplied vector and the second cross-multiplied vector, which are in turn associated with the first spatial plane object and the second spatial plane object, respectively, and therefore, it is necessary to set a rule to distinguish between the first spatial plane object and the second spatial plane object, otherwise an erroneous determination result is liable to occur.

If the first projection line vector and the second projection line vector are connected end to end, the directions of the first cross multiplication vector and the second cross multiplication vector are the same, and the conclusion is the same no matter whether the direction of the third cross multiplication vector is different or identical with that of the first cross multiplication vector or the second cross multiplication vector, so that the workload of judging the yin and yang angles can be greatly reduced.

If the fact that the first space surface object and the second space surface object form the inside and outside corner is known, the direction of a third cross multiplication vector of the normal vector of the first space surface object and the normal vector of the second space surface object is further calculated, and the type of the inside and outside corner formed by the first space surface object and the second space surface object is obtained according to the difference between the direction of the first cross multiplication vector or the second cross multiplication vector and the direction of the third cross multiplication vector.

And acquiring a specific judgment rule of the type of a negative and positive angle formed by the first space surface object and the second space surface object according to the difference of the direction of the first cross multiplication vector or the direction of the second cross multiplication vector and the direction of the third cross multiplication vector, wherein the specific judgment rule is associated with the directions of the first projection line vector and the second projection line vector, the arrangement direction of the ceiling vertex, the construction direction of the space surface object and the type of the rectangular coordinate system.

According to the ceiling keel design method based on the yin-yang angle identification, provided by the embodiment of the invention, through calculating the first cross multiplication vector and the second cross multiplication vector, whether the first space surface object and the second space surface object form the yin-yang angle is judged according to the directions of the first cross multiplication vector and the second cross multiplication vector, when the first space surface object and the second space surface object form the yin-yang angle, the type of the yin-yang angle formed by the first space surface object and the second space surface object is obtained according to the difference between the direction of the first cross multiplication vector or the second cross multiplication vector and the direction of the third cross multiplication vector, and the rapidity and the accuracy of type judgment of the yin-yang angle formed by the first space surface object and the second space surface object are improved.

According to the ceiling keel design method based on the internal and external corner identification, provided by the embodiment of the invention, at least one space surface object of a ceiling is traversed, and at least one group of first space surface object and second space surface object with an intersecting line are obtained, wherein the method comprises the following steps: judging whether the edge vector on any spatial surface object is parallel to another spatial surface object or on the plane of the other spatial surface object; in response to at least one edge vector on any spatial surface object being parallel to another spatial surface object or on a plane on which another spatial surface object is located, determining whether the at least one edge vector on any spatial surface object is on the plane on which the other spatial surface object is located; responding to at least one edge vector on any space surface object on the plane of another space surface object, and judging whether the edge vector on any space surface object is in the area enclosed by the another space surface object; in response to the fact that at least one edge vector exists on any space surface object in an area surrounded by another space surface object, according to the number of the edge vectors on any space surface object in the area surrounded by another space surface object, obtaining any space surface object and another space surface object with the number being 1, and obtaining at least one group of first space surface object and second space surface object with one intersection line.

The process of acquiring at least one group of first space surface object and second space surface object with an intersection line by traversing at least one space surface object of the suspended ceiling is to judge the intersection relationship of any two space surface objects.

And judging whether the edge vector on any space surface object is perpendicular to the normal vector of the other space surface object through vector calculation to obtain whether the edge vector on any space surface object is parallel to the other space surface object or on the plane of the other space surface object. If an edge vector on any of the space-plane objects is perpendicular to the normal vector of the other space-plane object, the edge vector is parallel to the other space-plane object or on the plane of the other space-plane object.

And for the acquired edge vector on any space surface object which is parallel to the other space surface object or on the plane of the other space surface object, connecting any point on the edge vector with any point on the other space surface object to obtain a vector, calculating whether the vector is vertical to the normal vector of the other space surface object, and if so, determining that the edge vector is on the plane of the other space surface object.

For an edge vector on any one of the space surface objects on the plane where the other space surface object is located, it is determined whether the edge vector is within an area surrounded by the other space surface object, and if the edge vector is not within the area surrounded by the other space surface object, there is no intersection relationship. If the edge vector is within the region enclosed by the other spatial surface object, the edge vector forms the intersection line of the first spatial surface object and the second spatial surface object.

According to the number of the edge vectors on any space surface object in the area enclosed by the other space surface object, acquiring any space surface object and the other space surface object with the number of 1, and obtaining at least one group of first space surface object and second space surface object with one intersecting line. When the intersection of the first space surface object and the second space surface object is obtained according to the method, the intersection sequence is that the first space surface object intersects the second space surface object.

And further judging the internal and external angles of the first space surface object and the second space surface object which intersect with one line.

According to the ceiling keel design method based on the internal and external corner identification, the first space surface object and the second space surface object intersecting one line are obtained through vector calculation, and a basis is provided for further judging the internal and external corners.

According to the ceiling keel design method based on the internal and external corner identification, provided by the embodiment of the invention, the direction of the first projection line vector is the projection point of the ceiling vertex of the first space surface object on the projection plane to the projection point of the intersection line of the first space surface object and the second space surface object on the projection plane, and the direction of the second projection line vector is the projection point of the ceiling vertex of the second space surface object on the projection plane from the projection point of the intersection line of the first space surface object and the second space surface object on the projection plane; the third cross multiplication vector is a vector obtained by cross multiplying the normal vector of the first space surface object by the normal vector of the second space surface object.

The direction of the first projection line vector and the direction of the second projection line vector coincide. On this basis, the direction of the first projection line vector may be a projection point of a projection plane of an intersection line of the ceiling vertex of the first space-surface object and the second space-surface object, which is pointed by a projection point of the ceiling vertex of the first space-surface object on the projection plane, and the direction of the second projection line vector may be a projection point of a projection plane of a ceiling vertex of the second space-surface object, which is pointed by a projection point of an intersection line of the first space-surface object and the second space-surface object on the projection plane. That is, if the first space-plane object and the second space-plane object intersect, the directions of the first projection line vector and the second projection line vector are, as a whole, projection points directed from the projection point of the first space-plane object to the second space-plane object.

As shown in FIG. 5, the first projection line vector is vector FG and the second projection line vector is vector GE. Fig. 3 to 5 are examples of a right-hand coordinate system.

According to the ceiling keel design method based on the internal and external corner identification, provided by the embodiment of the invention, a basis is provided for determining the judgment result of the internal and external corners by setting the direction of the first projection line vector, the direction of the second projection line vector and the acquisition mode of the third multiplication vector.

According to the ceiling keel design method based on internal and external corner identification, provided by the embodiment of the invention, the construction edge vector comprises a space surface object which is provided with an oriented ceiling edge and is vertical to the ground, and the method comprises the following steps: a space surface object which comprises an oriented suspended ceiling edge and is vertical to the ground surface is constructed by extending towards the direction close to the ground surface.

When a space surface object which is the directed suspended ceiling edge and is vertical to the ground surface is included in the construction edge vector, the space surface object which is the directed suspended ceiling edge and is vertical to the ground surface is constructed by extending towards the direction close to the ground surface.

Of course, when a space surface object including an oriented suspended ceiling edge and perpendicular to the ground surface is included in the construction edge vector, a space surface object including an oriented suspended ceiling edge and perpendicular to the ground surface may also be constructed by extending in a direction away from the ground surface. Compared with the construction of the space surface object which comprises the directed suspended ceiling edge and is vertical to the ground surface by extending towards the direction close to the ground surface, the normal vector of the first space surface object and the normal vector of the second space surface object are changed into opposite directions, and the direction of the third crossing vector is not changed. Since the directions of the first projection line vector and the second projection line vector are unchanged, the directions of the first cross-multiplication vector and the second cross-multiplication vector change. Therefore, when the types of the internal and external angles formed by the first space surface object and the second space surface object are obtained according to the difference and the sameness of the direction of the first cross multiplication vector or the second cross multiplication vector and the direction of the third cross multiplication vector, the conclusion is different, and the method belongs to a scheme which can be obtained by simple replacement and is within the protection scope of the invention.

In the following description, the space surface object including the directed suspended ceiling edge and perpendicular to the ground surface is constructed by extending in the direction close to the ground surface, which will be further described.

The ceiling keel design method based on the internal and external corner identification provided by the embodiment of the invention realizes the rapid construction of a space surface object.

According to the ceiling keel design method based on the internal and external corner identification, provided by the embodiment of the invention, when a ceiling is seen from the ground, the arrangement direction of ceiling vertexes is anticlockwise; obtaining the type of the internal and external angles formed by the first space surface object and the second space surface object according to the difference and the sameness of the direction of the first cross multiplication vector or the second cross multiplication vector and the direction of the third cross multiplication vector, wherein the type comprises the following steps: if the current coordinate system is a right-hand coordinate system, the direction of the first cross multiplication vector or the second cross multiplication vector is opposite to the direction of the third cross multiplication vector and is an external angle, and the same direction is an internal angle; if the current coordinate system is a left-handed coordinate system, the direction of the first cross multiplication vector or the second cross multiplication vector is the same as the direction of the third cross multiplication vector, namely the positive angle, and the opposite direction is the negative angle.

Fig. 6 is a schematic view of a ceiling model in the ceiling joist design method based on internal and external corner identification according to the embodiment of the invention. As shown in fig. 6, the middle portion of the two lines is the ceiling area. The ceiling area shown in fig. 6 may be formed by a plurality of ceilings, and the ceilings may be divided into different rectangles when divided.

The furred ceiling summit direction of arranging is for every furred ceiling, and the furred ceiling summit forms the direction of a plurality of directed furred ceiling edges, can be clockwise or anticlockwise. As seen in fig. 6, it appears that the direction of the outward directed ceiling edge in the entire ceiling region is formed to coincide with the ceiling vertex arrangement direction, and the direction of the inward directed ceiling edge is opposite to the ceiling vertex arrangement direction.

If the ceiling vertices are arranged counterclockwise when viewed from the ground toward the ceiling, the direction of the ceiling area toward the ceiling edge shown in fig. 6 is indicated by an arrow. At this time, in this embodiment, when the type of the internal and external corner formed by the first space plane object and the second space plane object is obtained according to the difference between the direction of the first cross-product vector or the second cross-product vector and the direction of the third cross-product vector, the conditions include:

constructing a space surface object which comprises an oriented suspended ceiling edge and is vertical to the ground surface by extending towards the direction close to the ground surface;

the first projection line vector and the second projection line vector are connected end to end, the direction of the first projection line vector points to the projection point of the intersection line of the first space surface object and the second space surface object on the projection plane from the projection point of the ceiling vertex of the first space surface object on the projection plane, and the direction of the second projection line vector points to the projection point of the ceiling vertex of the second space surface object on the projection plane from the projection point of the intersection line of the first space surface object and the second space surface object on the projection plane.

In addition, the type of the internal and external corners formed by the first space surface object and the second space surface object is also judged according to the type of the rectangular coordinate system, the right-hand spiral is adopted to obtain the normal vector and cross-multiply under the right-hand coordinate system, and the left-hand spiral is adopted to obtain the normal vector and cross-multiply under the left-hand coordinate system.

If the current coordinate system is a right-hand coordinate system, the direction of the first cross product vector or the second cross product vector is opposite to the direction of the third cross product vector, the first space surface object and the second space surface object form an external corner, and the direction of the first cross product vector or the second cross product vector is the same as the direction of the third cross product vector, so that the first space surface object and the second space surface object form an internal corner. As shown in fig. 6, when the ceiling area is viewed from the ground, the arrangement direction of the ceiling vertices is counterclockwise, and the determination results of the types of the internal and external corners are compared with the actual conditions of the internal and external corners, which illustrates the correctness of the embodiment of the present invention:

the steps of determining the types of the internal and external corners at the point I are as follows: making a space plane vector for the suspended ceiling edge HI, wherein the direction of the obtained normal vector of the first space plane object is upward; making a space plane vector for the suspended ceiling edge IJ, and obtaining the direction of a normal vector of a second space plane object to the right; the direction of the first projection line vector is from H to I, and the direction of the second projection line vector is from I to J; the direction of a first cross multiplication vector obtained by cross multiplication of the first projection line vector and the normal vector of the first space surface object is outward, the direction of a second cross multiplication vector obtained by cross multiplication of the second projection line vector and the normal vector of the second space surface object is outward, and the directions of the first cross multiplication vector and the second cross multiplication vector are consistent, which indicates that a negative and positive angle exists. The direction of a third crossed vector obtained by cross multiplication of the normal vector of the first space surface object and the normal vector of the second space surface object is inward, so that the direction of the first cross multiplication vector or the second cross multiplication vector is opposite to the direction of the third cross multiplication vector, which indicates that the first space surface object and the second space surface object form an external corner and are consistent with the actual external corner.

The determination of the internal and external corner type at point O is as follows: making a space plane vector for the suspended ceiling edge NO, wherein the direction of the obtained normal vector of the first space plane object is upward; taking a space plane vector of the suspended ceiling edge OH, and obtaining a normal vector of a second space plane object in a leftward direction; the direction of the first projection line vector is from N to O, and the direction of the second projection line vector is from O to H; the direction of a first cross multiplication vector obtained by cross multiplication of the first projection line vector and the normal vector of the first space surface object is outward, the direction of a second cross multiplication vector obtained by cross multiplication of the second projection line vector and the normal vector of the second space surface object is outward, and the directions of the first cross multiplication vector and the second cross multiplication vector are consistent, which indicates that a negative and positive angle exists; the direction of a third cross vector obtained by cross multiplication of the normal vector of the first space surface object and the normal vector of the second space surface object is outward, so that the direction of the first cross vector or the second cross vector is the same as the direction of the third cross vector, which indicates that the first space surface object and the second space surface object form a negative angle and are consistent with the reality.

The step of determining the type of the internal and external corners at the point W is as follows: making a space plane vector for the WV of the suspended ceiling edge, and enabling the direction of the normal vector of the obtained first space plane object to be downward; making a space plane vector for the suspended ceiling PW, and obtaining a normal vector of a second space plane object in a right direction; the direction of the first projection line vector is from V to W, and the direction of the second projection line vector is from W to P; the direction of a first cross multiplication vector obtained by cross multiplication of the first projection line vector and the normal vector of the first space surface object is inward, the direction of a second cross multiplication vector obtained by cross multiplication of the second projection line vector and the normal vector of the second space surface object is inward, and the directions of the first cross multiplication vector and the second cross multiplication vector are consistent, which indicates that a yin-yang angle exists; the direction of a third cross vector obtained by cross multiplication of the normal vector of the first space surface object and the normal vector of the second space surface object is outward, so that the direction of the first cross vector or the second cross vector is opposite to the direction of the third cross vector, which indicates that the first space surface object and the second space surface object form an external corner and are consistent with the reality.

The determination of the internal and external corner type at the Q point is as follows: making a space plane vector for the QP of the suspended ceiling edge, and enabling the direction of the normal vector of the obtained first space plane object to be downward; making a space plane vector for the suspended ceiling edge RQ, and obtaining a direction of a normal vector of a second space plane object to the left; the direction of the first projection line vector is from P to Q, and the direction of the second projection line vector is from Q to R; the direction of a first cross multiplication vector obtained by cross multiplication of the first projection line vector and the normal vector of the first space surface object is inward, the direction of a second cross multiplication vector obtained by cross multiplication of the second projection line vector and the normal vector of the second space surface object is inward, and the directions of the first cross multiplication vector and the second cross multiplication vector are consistent, which indicates that a sun angle exists; the direction of a third cross vector obtained by cross multiplication of the normal vector of the first space surface object and the normal vector of the second space surface object is inward, so that the direction of the first cross vector or the second cross vector is the same as the direction of the third cross vector, which indicates that the first space surface object and the second space surface object form a reentrant corner and are consistent with the reality.

If the current coordinate system is a left-handed coordinate system, the direction of the first cross multiplication vector or the second cross multiplication vector is the same as the direction of the third cross multiplication vector, the first space surface object and the second space surface object form an external corner, and the direction of the first cross multiplication vector or the second cross multiplication vector is opposite to the direction of the third cross multiplication vector, so that the first space surface object and the second space surface object form an internal corner. As shown in fig. 6, the arrangement direction of the ceiling vertices is clockwise when viewed from the ceiling to the ceiling area, and the correctness of the embodiment of the present invention is illustrated by comparing the determination results of the types of the internal and external corners with the actual conditions of the internal and external corners:

the determination of the internal and external corner type at the point I is as follows: making a space plane vector for the suspended ceiling edge HI, wherein the direction of the obtained normal vector of the first space plane object is downward; making a space plane vector for the suspended ceiling edge IJ, and obtaining the direction of a normal vector of a second space plane object to the left; the direction of the first projection line vector is from H to I, and the direction of the second projection line vector is from I to J; the direction of a first cross multiplication vector obtained by cross multiplication of the first projection line vector and the normal vector of the first space surface object is outward, the direction of a second cross multiplication vector obtained by cross multiplication of the second projection line vector and the normal vector of the second space surface object is outward, and the directions of the first cross multiplication vector and the second cross multiplication vector are consistent, which indicates that a negative and positive angle exists. The direction of a third cross vector obtained by cross multiplication of the normal vector of the first space surface object and the normal vector of the second space surface object is outward, so that the direction of the first cross vector or the second cross vector is the same as the direction of the third cross vector, which indicates that the first space surface object and the second space surface object form an external corner and are consistent with the actual external corner.

The determination of the internal and external corner type at point O is as follows: making a space plane vector for the suspended ceiling edge NO, and enabling the direction of the obtained normal vector of the first space plane object to be downward; taking a space plane vector of the suspended ceiling edge OH, and obtaining a normal vector of a second space plane object in a right direction; the direction of the first projection line vector is from N to O, and the direction of the second projection line vector is from O to H; the direction of a first cross multiplication vector obtained by cross multiplication of the first projection line vector and the normal vector of the first space surface object is outward, the direction of a second cross multiplication vector obtained by cross multiplication of the second projection line vector and the normal vector of the second space surface object is outward, and the directions of the first cross multiplication vector and the second cross multiplication vector are consistent, which indicates that a negative and positive angle exists; the direction of a third crossed vector obtained by cross multiplication of the normal vector of the first space surface object and the normal vector of the second space surface object is inward, so that the direction of the first cross multiplication vector or the second cross multiplication vector is opposite to the direction of the third cross multiplication vector, which indicates that the first space surface object and the second space surface object form a negative angle and are consistent with the reality.

The step of determining the type of the internal and external corners at the point W is as follows: making a space plane vector for the WV of the suspended ceiling edge, wherein the direction of the obtained normal vector of the first space plane object is upward; making a space plane vector for the suspended ceiling PW, and obtaining a direction of a normal vector of a second space plane object to the left; the direction of the first projection line vector is from V to W, and the direction of the second projection line vector is from W to P; the direction of a first cross multiplication vector obtained by cross multiplication of the first projection line vector and the normal vector of the first space surface object is inward, the direction of a second cross multiplication vector obtained by cross multiplication of the second projection line vector and the normal vector of the second space surface object is inward, and the directions of the first cross multiplication vector and the second cross multiplication vector are consistent, which indicates that a sun angle exists; the direction of a third cross vector obtained by cross multiplication of the normal vector of the first space surface object and the normal vector of the second space surface object is inward, so that the direction of the first cross vector or the second cross vector is the same as the direction of the third cross vector, which indicates that the first space surface object and the second space surface object form an external corner and are consistent with the actual external corner.

The determination of the internal and external corner type at the Q point is as follows: making a space plane vector for the QP of the suspended ceiling edge, wherein the direction of the normal vector of the obtained first space plane object is upward; making a space plane vector for the suspended ceiling edge RQ, and obtaining the direction of a normal vector of a second space plane object to the right; the direction of the first projection line vector points to Q from P, and the direction of the second projection line vector points to R from Q; the direction of a first cross multiplication vector obtained by cross multiplication of the first projection line vector and the normal vector of the first space surface object is inward, the direction of a second cross multiplication vector obtained by cross multiplication of the second projection line vector and the normal vector of the second space surface object is inward, and the directions of the first cross multiplication vector and the second cross multiplication vector are consistent, which indicates that a sun angle exists; the direction of a third cross vector obtained by cross multiplication of the normal vector of the first space surface object and the normal vector of the second space surface object is outward, so that the direction of the first cross vector or the second cross vector is opposite to the direction of the third cross vector, which indicates that the first space surface object and the second space surface object form a negative angle and are consistent with the reality.

According to the ceiling keel design method based on the yin-yang angle identification, when the ceiling is seen from the ground, and the arrangement direction of the ceiling vertex is anticlockwise, if the current coordinate system is a right-hand coordinate system, the direction of the first cross multiplication vector or the second cross multiplication vector is opposite to the direction of the third cross multiplication vector to form the yang angle and is the same as the yin angle, and if the current coordinate system is a left-hand coordinate system, the direction of the first cross multiplication vector or the second cross multiplication vector is the same as the direction of the third cross multiplication vector to form the yang angle and is opposite to the yin angle, so that the rapid acquisition of the yin-yang angle type is realized.

According to the ceiling keel design method based on the internal and external corner identification, when a ceiling is seen from the ground, the arrangement direction of ceiling vertexes is clockwise; obtaining the type of the internal and external angles formed by the first space surface object and the second space surface object according to the difference and the sameness of the direction of the first cross multiplication vector or the second cross multiplication vector and the direction of the third cross multiplication vector, wherein the type comprises the following steps: if the current coordinate system is a right-hand coordinate system, the direction of the first cross multiplication vector or the second cross multiplication vector is the same as the direction of the third cross multiplication vector and is an external angle, and the opposite direction is an internal angle; if the current coordinate system is a left-handed coordinate system, the direction of the first cross multiplication vector or the second cross multiplication vector is opposite to the direction of the third cross multiplication vector and is an external corner, and the same is an internal corner.

Fig. 7 is a schematic view of the ceiling configuration of fig. 6 after changing the direction of the arrangement of the vertices of the ceiling. If the arrangement direction of the ceiling vertices is clockwise when viewed from the direction of the ground toward the ceiling, the direction of the ceiling area toward the ceiling edge shown in fig. 7 is indicated by an arrow. At this time, in this embodiment, when the type of the internal and external corner formed by the first spatial surface object and the second spatial surface object is obtained according to the difference between the direction of the first cross-product vector or the second cross-product vector and the direction of the third cross-product vector, the conditions include:

If the current coordinate system is a right-hand coordinate system, the direction of the first cross product vector or the second cross product vector is the same as the direction of the third cross product vector, the first space surface object and the second space surface object form an external corner, and the direction of the first cross product vector or the second cross product vector is opposite to the direction of the third cross product vector, so that the first space surface object and the second space surface object form an internal corner. As shown in fig. 7, when the ceiling area is viewed from the ground, the arrangement direction of the ceiling vertices is clockwise, and the determination results of the types of the internal and external corners are compared with the actual conditions of the internal and external corners, which illustrates the correctness of the embodiment of the present invention:

the determination of the internal and external corner type at the point I is as follows: making a space plane vector for the suspended ceiling edge IH, and enabling the direction of the obtained normal vector of the first space plane object to be downward; making a space plane vector for the suspended ceiling edge JI, and obtaining a direction of a normal vector of a second space plane object to the left; the direction of the first projection line vector is from H to I, and the direction of the second projection line vector is from I to J; the direction of a first cross multiplication vector obtained by cross multiplication of the first projection line vector and the normal vector of the first space surface object is inward, the direction of a second cross multiplication vector obtained by cross multiplication of the second projection line vector and the normal vector of the second space surface object is inward, and the directions of the first cross multiplication vector and the second cross multiplication vector are consistent, which indicates that a sun-sun angle exists. The direction of a third cross vector obtained by cross multiplication of the normal vector of the first space surface object and the normal vector of the second space surface object is inward, so that the direction of the first cross vector or the second cross vector is the same as the direction of the third cross vector, which indicates that the first space surface object and the second space surface object form an external corner and are consistent with the actual external corner.

The determination of the internal and external corner type at point O is as follows: making a space surface vector for the suspended ceiling edge ON, and enabling the direction of the obtained normal vector of the first space surface object to be downward; performing space surface vector on the suspended ceiling edge HO, and obtaining the direction of a normal vector of a second space surface object to the right; the direction of the first projection line vector points to O from N, and the direction of the second projection line vector points to H from O; the direction of a first cross multiplication vector obtained by cross multiplication of the first projection line vector and the normal vector of the first space surface object is inward, the direction of a second cross multiplication vector obtained by cross multiplication of the second projection line vector and the normal vector of the second space surface object is inward, and the directions of the first cross multiplication vector and the second cross multiplication vector are consistent, which indicates that a sun angle exists; the direction of a third cross vector obtained by cross multiplication of the normal vector of the first space surface object and the normal vector of the second space surface object is outward, so that the direction of the first cross vector or the second cross vector is opposite to the direction of the third cross vector, which indicates that the first space surface object and the second space surface object form a negative angle and are consistent with the reality.

The step of determining the type of the internal and external corners at the point W is as follows: a space surface vector is made for the suspended ceiling edge VW, and the direction of the normal vector of the obtained first space surface object is upward; making a space surface vector for the suspended ceiling edge WP, and obtaining the direction of a normal vector of a second space surface object to the left; the direction of the first projection line vector is from V to W, and the direction of the second projection line vector is from W to P; the direction of a first cross multiplication vector obtained by cross multiplication of the first projection line vector and the normal vector of the first space surface object is outward, the direction of a second cross multiplication vector obtained by cross multiplication of the second projection line vector and the normal vector of the second space surface object is outward, and the directions of the first cross multiplication vector and the second cross multiplication vector are consistent, which indicates that a negative and positive angle exists; the direction of a third cross vector obtained by cross multiplication of the normal vector of the first space surface object and the normal vector of the second space surface object is outward, so that the direction of the first cross vector or the second cross vector is the same as the direction of the third cross vector, which indicates that the first space surface object and the second space surface object form an external corner and are consistent with the actual external corner.

The determination of the internal and external corner type at the Q point is as follows: making a space plane vector for the suspended ceiling PQ, wherein the direction of the obtained normal vector of the first space plane object is upward; making a space plane vector for the QR at the suspended edge, and obtaining the direction of a normal vector of a second space plane object to the right; the direction of the first projection line vector is from P to Q, and the direction of the second projection line vector is from Q to R; the direction of a first cross multiplication vector obtained by cross multiplication of the first projection line vector and the normal vector of the first space surface object is outward, the direction of a second cross multiplication vector obtained by cross multiplication of the second projection line vector and the normal vector of the second space surface object is outward, and the directions of the first cross multiplication vector and the second cross multiplication vector are consistent, which indicates that a negative and positive angle exists; the direction of a third crossed vector obtained by cross multiplication of the normal vector of the first space surface object and the normal vector of the second space surface object is inward, so that the direction of the first cross multiplication vector or the second cross multiplication vector is opposite to the direction of the third cross multiplication vector, which indicates that the first space surface object and the second space surface object form a negative angle and are consistent with the reality.

If the current coordinate system is a left-handed coordinate system, the direction of the first cross multiplication vector or the second cross multiplication vector is opposite to the direction of the third cross multiplication vector, the first space surface object and the second space surface object form an external corner, and the direction of the first cross multiplication vector or the second cross multiplication vector is the same as the direction of the third cross multiplication vector, so that the first space surface object and the second space surface object form an internal corner. As shown in fig. 7, the arrangement direction of the ceiling vertices is clockwise when viewed from the ceiling to the ceiling area, and the correctness of the embodiment of the present invention is illustrated by comparing the determination results of the types of the internal and external corners with the actual conditions of the internal and external corners:

the steps of determining the types of the internal and external corners at the point I are as follows: making a space plane vector for the suspended ceiling edge IH, wherein the direction of the obtained normal vector of the first space plane object is upward; making a space plane vector for the suspended ceiling edge JI, and obtaining the direction of a normal vector of a second space plane object to the right; the direction of the first projection line vector is from H to I, and the direction of the second projection line vector is from I to J; the direction of a first cross multiplication vector obtained by cross multiplication of the first projection line vector and the normal vector of the first space surface object is inward, the direction of a second cross multiplication vector obtained by cross multiplication of the second projection line vector and the normal vector of the second space surface object is inward, and the directions of the first cross multiplication vector and the second cross multiplication vector are consistent, which indicates that a sun-sun angle exists. The direction of a third cross vector obtained by cross multiplication of the normal vector of the first space surface object and the normal vector of the second space surface object is outward, so that the direction of the first cross vector or the second cross vector is opposite to the direction of the third cross vector, which indicates that the first space surface object and the second space surface object form an external corner and are consistent with the reality.

The step of determining the types of the internal and external angles at the O point is as follows: making a space surface vector for the suspended ceiling edge ON, wherein the direction of the obtained normal vector of the first space surface object is upward; performing space surface vector on the suspended ceiling edge HO, and obtaining the direction of the normal vector of the second space surface object to the left; the direction of the first projection line vector is from N to O, and the direction of the second projection line vector is from O to H; the direction of a first cross multiplication vector obtained by cross multiplication of the first projection line vector and the normal vector of the first space surface object is inward, the direction of a second cross multiplication vector obtained by cross multiplication of the second projection line vector and the normal vector of the second space surface object is inward, and the directions of the first cross multiplication vector and the second cross multiplication vector are consistent, which indicates that a sun angle exists; the direction of a third cross vector obtained by cross multiplication of the normal vector of the first space surface object and the normal vector of the second space surface object is inward, so that the direction of the first cross vector or the second cross vector is the same as the direction of the third cross vector, which indicates that the first space surface object and the second space surface object form a reentrant corner and are consistent with the reality.

The step of determining the type of the internal and external corners at the point W is as follows: a space surface vector is made for the suspended ceiling edge VW, and the direction of the normal vector of the obtained first space surface object is downward; making a space plane vector for the suspended ceiling edge WP, and enabling the direction of the normal vector of the obtained second space plane object to be right; the direction of the first projection line vector is from V to W, and the direction of the second projection line vector is from W to P; the direction of a first cross multiplication vector obtained by cross multiplication of the first projection line vector and the normal vector of the first space surface object is outward, the direction of a second cross multiplication vector obtained by cross multiplication of the second projection line vector and the normal vector of the second space surface object is outward, and the directions of the first cross multiplication vector and the second cross multiplication vector are consistent, which indicates that a negative and positive angle exists; the direction of a third crossed vector obtained by cross multiplication of the normal vector of the first space surface object and the normal vector of the second space surface object is inward, so that the direction of the first cross multiplication vector or the second cross multiplication vector is opposite to the direction of the third cross multiplication vector, which indicates that the first space surface object and the second space surface object form an external corner and are consistent with the actual external corner.

The steps of determining the types of the internal and external corners at the point Q are as follows: making a space plane vector for the suspended ceiling PQ, and enabling the direction of the normal vector of the obtained first space plane object to be downward; making a space plane vector for the QR at the suspended ceiling edge, and obtaining the direction of a normal vector of a second space plane object to the left; the direction of the first projection line vector points to Q from P, and the direction of the second projection line vector points to R from Q; the direction of a first cross multiplication vector obtained by cross multiplication of the first projection line vector and the normal vector of the first space surface object is outward, the direction of a second cross multiplication vector obtained by cross multiplication of the second projection line vector and the normal vector of the second space surface object is outward, and the directions of the first cross multiplication vector and the second cross multiplication vector are consistent, which indicates that a negative and positive angle exists; the direction of a third cross vector obtained by cross multiplication of the normal vector of the first space surface object and the normal vector of the second space surface object is outward, so that the direction of the first cross vector or the second cross vector is the same as the direction of the third cross vector, which indicates that the first space surface object and the second space surface object form a negative angle and are consistent with the reality.

According to the ceiling keel design method based on the yin-yang angle identification, when the ceiling is seen from the ground, when the ceiling vertex arrangement direction is clockwise, if the current coordinate system is a right-hand coordinate system, the direction of the first cross multiplication vector or the second cross multiplication vector is the same as the direction of the third cross multiplication vector as the positive angle, and is the negative angle, if the current coordinate system is a left-hand coordinate system, the direction of the first cross multiplication vector or the second cross multiplication vector is opposite to the direction of the third cross multiplication vector as the positive angle, and is the same as the negative angle, so that the quick acquisition of the yin-yang angle type is realized.

According to the ceiling keel design method based on the internal and external corner identification, provided by the embodiment of the invention, a first space surface object and a second space surface object are projected to a projection plane to obtain a first projection line vector corresponding to the first space surface object and a second projection line vector corresponding to the second space surface object, and the method comprises the following steps: normalizing the first and/or second spatial plane object that is not perpendicular to the projection plane to a position perpendicular to the projection plane; and projecting the first space surface object and the second space surface object to a projection plane to obtain a first projection line vector corresponding to the first space surface object and a second projection line vector corresponding to the second space surface object.

After the projection plane is determined, if the first space surface object and the second space surface object are not perpendicular to the projection plane, the first space surface object and/or the second space surface object which are not perpendicular to the projection plane are/is normalized to the position perpendicular to the projection plane, then the first space surface object and the second space surface object are projected to the projection plane, and a first projection line vector corresponding to the first space surface object and a second projection line vector corresponding to the second space surface object are obtained.

According to the ceiling keel design method based on the internal and external corner identification, the first space surface object and/or the second space surface object which are not vertical to the projection plane are/is normalized to the position vertical to the projection plane, and the first projection line vector and the second projection line vector can be conveniently obtained.

The ceiling keel design method based on the internal and external corner identification provided by the embodiment of the invention realizes house type display including keel design at the internal and external corner part.

Fig. 8 is a second flow chart of the ceiling keel design method based on internal and external corner identification according to the embodiment of the invention. The BIM server is provided with an automatic keel service, and is responsible for compiling and managing BIM software, and an updater can be arranged for updating the BIM software. In addition, the BIM client can be used for designing house type data. As shown in fig. 8, the method includes:

designing house types at a BIM client, determining the ceiling style of each room, obtaining and storing the ceiling model data;

pushing the stored house type data and the stored ceiling modeling data to an automatic keel service;

the automatic keel service analyzes and processes the house type data and the suspended ceiling modeling data to assemble intermediate state data available for an algorithm;

assembling and constructing a space surface object (ceiling surface) based on ceiling vertices;

the keel arrangement of each suspended ceiling is completed according to the single suspended ceiling keel arrangement rule;

traversing all ceiling surfaces of the suspended ceiling, and judging whether the ceiling surfaces are intersected with other ceiling surfaces;

if the two suspended ceiling surfaces are not intersected, ending; if two suspended ceiling surfaces are intersected, judging whether the number of the intersected lines of the two suspended ceiling surfaces is more than 1;

if the number of the lines of intersection of the two suspended ceiling surfaces is larger than 1, indicating that the two suspended ceilings are coplanar, and designing keels by utilizing the intersection keel rule of the suspended ceiling surfaces;

if the number of the lines of the two ceiling surfaces is equal to 1, judging whether the two ceiling surfaces have internal and external corners, and if not, ending; if the internal and external corners exist, the types of the internal and external corners are obtained, and keel design is carried out according to the internal and external corner keel design method provided by the embodiment of the invention;

writing back the generated keel configuration data to house type data, and pushing the processed data to a client and a webGL terminal;

and rendering at the client and the webGL end to obtain a project with the keel distributed.

The ceiling keel design device based on the internal and external corner identification provided by the embodiment of the invention is described below, and the ceiling keel design device based on the internal and external corner identification described below and the ceiling keel design method based on the internal and external corner identification described above can be referred to correspondingly.

Fig. 9 is a schematic structural diagram of a ceiling joist design device based on internal and external corner identification according to an embodiment of the invention. As shown in fig. 9, the device includes a house type and ceiling modeling data acquisition module 1, a ceiling vertex acquisition module 2, a space surface object construction module 3, a first space surface object and a second space surface object acquisition module 4, a projection module 5, a male and female corner type acquisition module 6, and a keel design module 7, wherein: the house type and ceiling modeling data acquisition module 1 is used for: acquiring house type data and suspended ceiling modeling data of a suspended ceiling; the suspended ceiling modeling data comprises the shape and the position of the suspended ceiling; the ceiling apex acquisition module 2 is configured to: the method comprises the steps that ceiling vertexes of a ceiling are obtained according to ceiling modeling data, and a plurality of directed ceiling edges are formed on the ceiling vertexes of the ceiling according to a preset ceiling vertex arrangement direction; the space plane object constructing module 3 is used for: constructing a spatial surface object with an upward suspended edge; the space surface object is vertical to the ground, the edge vectors of the space surface object comprise directed suspended ceiling edges, and all the edge vectors in the space surface object are connected end to end; the first and second spatial plane object acquisition modules 4 are configured to: traversing the space surface object of the suspended ceiling, and acquiring at least one group of first space surface object and second space surface object with an intersecting line; the projection module 5 is configured to: determining a projection plane according to the normal vector of the first space surface object and the normal vector of the second space surface object, and projecting the first space surface object and the second space surface object to the projection plane to obtain a first projection line vector corresponding to the first space surface object and a second projection line vector corresponding to the second space surface object; the internal and external corner type acquisition module 6 is used for: determining the type of a negative and positive angle formed by the first space surface object and the second space surface object according to the first projection line vector, the second projection line vector, and the normal vector of the first space surface object and the normal vector of the second space surface object; keel design module 7 is used for: and generating keel types of corresponding yin and yang angular positions according to the types of the yin and yang angles.

According to the ceiling keel design device based on the internal and external corner identification, provided by the embodiment of the invention, the geometrical quantity is constructed based on the ceiling data, the internal and external corner types are automatically obtained by utilizing vector calculation, and the keel types are correspondingly set, so that keel design at the internal and external corner positions is realized, and the BIM design capability is enhanced.

Fig. 10 is a schematic structural diagram of an electronic device according to an embodiment of the present invention, and as shown in fig. 10, the electronic device may include: a processor (processor)1010, a communication Interface (Communications Interface)1020, a memory (memory)1030, and a communication bus 1040, wherein the processor 1010, the communication Interface 1020, and the memory 1030 communicate with each other via the communication bus 1040. Processor 1010 may invoke logic instructions in memory 1030 to perform a ceiling grid design method based on hermaphroditic identification, the method comprising: acquiring house type data and suspended ceiling modeling data of a suspended ceiling; the suspended ceiling modeling data comprises the shape and the position of the suspended ceiling; the method comprises the steps that ceiling vertexes of a ceiling are obtained according to ceiling modeling data, and a plurality of directed ceiling edges are formed on the ceiling vertexes of the ceiling according to a preset ceiling vertex arrangement direction; constructing a spatial surface object with an upward suspended edge; the space surface object is vertical to the ground, the edge vectors of the space surface object comprise directed suspended ceiling edges, and all the edge vectors in the space surface object are connected end to end; traversing the space surface object of the suspended ceiling, and acquiring at least one group of first space surface object and second space surface object with an intersecting line; determining a projection plane according to the normal vector of the first space surface object and the normal vector of the second space surface object, and projecting the first space surface object and the second space surface object to the projection plane to obtain a first projection line vector corresponding to the first space surface object and a second projection line vector corresponding to the second space surface object; determining the type of a negative and positive angle formed by the first space surface object and the second space surface object according to the first projection line vector, the second projection line vector, and the normal vector of the first space surface object and the normal vector of the second space surface object; and generating keel types of corresponding yin and yang angular positions according to the types of the yin and yang angles.

Furthermore, the logic instructions in the memory 1030 can be implemented in software functional units and stored in a computer readable storage medium when the logic instructions are sold or used as independent products. Based on such understanding, the technical solution of the present invention may be embodied in the form of a software product, which is stored in a storage medium and includes instructions for causing a computer device (which may be a personal computer, a server, or a network device) to execute all or part of the steps of the method according to the embodiments of the present invention. And the aforementioned storage medium includes: a U-disk, a removable hard disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), a magnetic disk or an optical disk, and other various media capable of storing program codes.

In another aspect, an embodiment of the present invention further provides a computer program product, where the computer program product includes a computer program, where the computer program is stored on a non-transitory computer-readable storage medium, and when the computer program is executed by a processor, the computer is capable of executing the ceiling keel design method based on internal and external corner identification provided by the above methods, where the method includes: acquiring house type data and suspended ceiling modeling data of a suspended ceiling; the suspended ceiling modeling data comprises the shape and the position of the suspended ceiling; the method comprises the steps that ceiling vertexes of a ceiling are obtained according to ceiling modeling data, and a plurality of directed ceiling edges are formed on the ceiling vertexes of the ceiling according to a preset ceiling vertex arrangement direction; constructing a spatial surface object with an upward suspended edge; the space surface object is vertical to the ground, the edge vectors of the space surface object comprise directed suspended ceiling edges, and all the edge vectors in the space surface object are connected end to end; traversing the space surface object of the suspended ceiling, and acquiring at least one group of first space surface object and second space surface object with an intersecting line; determining a projection plane according to the normal vector of the first space surface object and the normal vector of the second space surface object, and projecting the first space surface object and the second space surface object to the projection plane to obtain a first projection line vector corresponding to the first space surface object and a second projection line vector corresponding to the second space surface object; determining the type of a negative and positive angle formed by the first space surface object and the second space surface object according to the first projection line vector, the second projection line vector, and the normal vector of the first space surface object and the normal vector of the second space surface object; and generating keel types of corresponding yin and yang angular positions according to the types of the yin and yang angles.

In yet another aspect, an embodiment of the present invention further provides a non-transitory computer-readable storage medium, on which a computer program is stored, where the computer program is implemented by a processor to execute the method for designing a ceiling keel based on internal and external corner identification provided by the above methods, and the method includes: acquiring house type data and suspended ceiling modeling data of a suspended ceiling; the suspended ceiling modeling data comprises the shape and the position of the suspended ceiling; the method comprises the steps that ceiling vertexes of a ceiling are obtained according to ceiling modeling data, and a plurality of directed ceiling edges are formed on the ceiling vertexes of the ceiling according to a preset ceiling vertex arrangement direction; constructing a spatial surface object with an upward suspended edge; the space surface object is vertical to the ground, the edge vectors of the space surface object comprise directed suspended ceiling edges, and all the edge vectors in the space surface object are connected end to end; traversing the space surface object of the suspended ceiling, and acquiring at least one group of first space surface object and second space surface object with an intersecting line; determining a projection plane according to the normal vector of the first space surface object and the normal vector of the second space surface object, and projecting the first space surface object and the second space surface object to the projection plane to obtain a first projection line vector corresponding to the first space surface object and a second projection line vector corresponding to the second space surface object; determining the type of a negative and positive angle formed by the first space surface object and the second space surface object according to the first projection line vector, the second projection line vector, and the normal vector of the first space surface object and the normal vector of the second space surface object; and generating keel types of corresponding yin and yang angular positions according to the types of the yin and yang angles.

The above-described embodiments of the apparatus are merely illustrative, and the units described as separate parts may or may not be physically separate, and the parts displayed as units may or may not be physical units, may be located in one place, or may be distributed on a plurality of network units. Some or all of the modules may be selected according to actual needs to achieve the purpose of the solution of the present embodiment. One of ordinary skill in the art can understand and implement it without inventive effort.

Through the above description of the embodiments, those skilled in the art will clearly understand that each embodiment can be implemented by software plus a necessary general hardware platform, and certainly can also be implemented by hardware. With this understanding in mind, the above-described technical solutions may be embodied in the form of a software product, which can be stored in a computer-readable storage medium, such as ROM/RAM, magnetic disk, optical disk, etc., and includes instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute the methods of the various embodiments or some parts of the embodiments.

Finally, it should be noted that: the above examples are only intended to illustrate the technical solution of the present invention, but not to limit it; although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; and such modifications or substitutions do not depart from the spirit and scope of the corresponding technical solutions of the embodiments of the present invention.

Claims

1. A ceiling keel design method based on internal and external corner identification is characterized by comprising the following steps:

acquiring house type data and suspended ceiling modeling data of a suspended ceiling; the suspended ceiling modeling data comprises the shape and the position of the suspended ceiling;

obtaining ceiling vertexes of the ceiling according to the ceiling modeling data, wherein the ceiling vertexes of the ceiling form a plurality of directed ceiling edges according to a preset ceiling vertex arrangement direction;

constructing a spatial surface object of the directed suspended top edge; the space surface object is vertical to the ground, the edge vectors of the space surface object comprise the directed suspended top edge, and all the edge vectors in the space surface object are connected end to end;

traversing the space surface objects of the suspended ceiling to obtain at least one group of first space surface objects and second space surface objects with an intersection line;

determining a projection plane according to the normal vector of the first space surface object and the normal vector of the second space surface object, and projecting the first space surface object and the second space surface object to the projection plane to obtain a first projection line vector corresponding to the first space surface object and a second projection line vector corresponding to the second space surface object;

determining the type of a negative and positive angle formed by the first space surface object and the second space surface object according to the first projection line vector, the second projection line vector, and the normal vector of the first space surface object and the normal vector of the second space surface object;

and generating keel types of corresponding yin and yang angular positions according to the types of the yin and yang angles.

2. The ceiling grid design method based on inside and outside corner identification as set forth in claim 1, wherein the method further comprises:

obtaining the relation between the ceiling vertex and the ground according to the ceiling modeling data and the house type data;

responsive to the directed ceiling edge not being parallel to the ground surface, not constructing the space surface object for the corresponding directed ceiling edge.

3. A suspended ceiling keel design method based on internal and external corner identification as claimed in claim 1, wherein the keel type generating corresponding internal and external corner positions according to the internal and external corner types comprises:

in response to the first and second space surface objects forming an external corner, generating a side keel at the corresponding external corner location;

responsive to the first and second space face objects forming an internal corner, a cross runner is generated at the respective internal corner location.

4. The ceiling grid design method based on inside and outside corner identification as set forth in claim 1, wherein the method further comprises:

designing keel arrangement corresponding to the suspended ceiling based on the suspended ceiling modeling data of the suspended ceiling;

integrating the keel arrangement of the suspended ceiling and the design results of keel types of the yin-yang angular positions to obtain suspended ceiling keel arrangement data;

writing the ceiling keel arrangement data into the house type data to obtain the house type data containing the ceiling keel arrangement data;

and rendering the house type data containing the arrangement data of the suspended ceiling keel to obtain a house type display result of the arranged suspended ceiling keel.

5. The ceiling joist design method based on internal and external corner identification as claimed in claim 1, wherein the first projection line vector and the second projection line vector are connected end to end;

the determining a type of a negative and positive angle formed by the first and second spatial-surface objects according to the first projection line vector, the second projection line vector, and the normal vector of the first and second spatial-surface objects, comprising:

responsive to the first and second cross-multiplication vectors being in the same direction, confirming that the first and second spatial face objects form a negative and positive corner; in response to the first and second cross-multiplication vectors being in different directions, confirming that the first and second spatial face objects do not form a negative-positive angle;

the method comprises the steps of responding to the fact that a first space surface object and a second space surface object form a negative and positive angle, obtaining the direction of a third cross multiplication vector obtained by cross multiplication of a normal vector of the first space surface object and a normal vector of the second space surface object, and obtaining the type of the negative and positive angle formed by the first space surface object and the second space surface object according to the difference of the direction of the first cross multiplication vector or the second cross multiplication vector and the direction of the third cross multiplication vector.

6. A ceiling grid design method based on inside and outside corner identification as claimed in claim 5, wherein the traversing the space surface objects of the ceiling to obtain at least one set of first space surface objects and second space surface objects with an intersection line comprises: judging whether the edge vector on any spatial surface object is parallel to another spatial surface object or on the plane of the other spatial surface object;

in response to at least one edge vector on any one spatial surface object being parallel to the other spatial surface object or being on the plane of the other spatial surface object, determining whether the at least one edge vector on any one spatial surface object is on the plane of the other spatial surface object;

responding to at least one edge vector on any spatial plane object on a plane where another spatial plane object is located, and judging whether the edge vector on any spatial plane object is in an area surrounded by the another spatial plane object;

in response to the fact that at least one edge vector exists on any one spatial surface object in an area surrounded by another spatial surface object, according to the number of the edge vectors on any one spatial surface object in the area surrounded by another spatial surface object, obtaining the any one spatial surface object and the another spatial surface object with the number of 1, and obtaining at least one set of first spatial surface object and second spatial surface object with one intersection line.

7. The suspended ceiling keel design method based on yin-yang angle identification as claimed in claim 6, wherein the direction of the first projection line vector is from the projection point of the suspended ceiling vertex of the first space surface object on the projection plane to the projection point of the intersection line of the first space surface object and the second space surface object on the projection plane, and the direction of the second projection line vector is from the projection point of the intersection line of the first space surface object and the second space surface object on the projection plane to the projection point of the suspended ceiling vertex of the second space surface object on the projection plane.

8. The suspended ceiling keel design method based on internal and external corner identification as claimed in claim 7, wherein the suspended ceiling vertex arrangement direction is counterclockwise when looking at the suspended ceiling from the ground; the obtaining, according to the difference between the direction of the first cross-multiplication vector or the second cross-multiplication vector and the direction of the third cross-multiplication vector, a type of a negative and positive corner formed by the first spatial surface object and the second spatial surface object includes:

if the current coordinate system is a right-hand coordinate system, the direction of the first cross multiplication vector or the second cross multiplication vector is opposite to the direction of the third cross multiplication vector and is an external angle, and the same direction is an internal angle;

if the current coordinate system is a left-handed coordinate system, the direction of the first cross multiplication vector or the second cross multiplication vector is the same as the direction of the third cross multiplication vector and is an external corner, and the opposite direction is an internal corner;

or,

when the suspended ceiling is seen from the ground, the arrangement direction of the suspended ceiling vertexes is clockwise; the obtaining, according to the difference between the direction of the first cross-multiplication vector or the second cross-multiplication vector and the direction of the third cross-multiplication vector, a type of a negative and positive corner formed by the first spatial surface object and the second spatial surface object includes:

if the current coordinate system is a right-hand coordinate system, the direction of the first cross multiplication vector or the second cross multiplication vector is the same as the direction of the third cross multiplication vector and is an external angle, and the opposite direction is an internal angle;

if the current coordinate system is a left-handed coordinate system, the direction of the first cross multiplication vector or the second cross multiplication vector is opposite to the direction of the third cross multiplication vector and is an external corner, and the same direction is an internal corner.

9. The suspended ceiling keel design method based on internal and external corner identification as claimed in claim 1, wherein the projecting the first space surface object and the second space surface object to the projection plane to obtain a first projection line vector corresponding to the first space surface object and a second projection line vector corresponding to the second space surface object comprises:

normalizing the first and/or second spatial plane object that is not perpendicular to the projection plane to a position perpendicular to the projection plane;

and projecting the first space surface object and the second space surface object to the projection plane to obtain a first projection line vector corresponding to the first space surface object and a second projection line vector corresponding to the second space surface object.

10. A non-transitory computer readable storage medium having stored thereon a computer program, wherein the computer program when executed by a processor implements the steps of the method for designing a ceiling grid based on internal and external corner identification according to any one of claims 1 to 9.