CN115186341A - Edge component parameter calculation method based on local coordinate transformation - Google Patents
Edge component parameter calculation method based on local coordinate transformation Download PDFInfo
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Abstract
The invention relates to the field of engineering design, in particular to an edge member parameter calculation method based on local coordinate transformation. The method comprises the following steps: s1, obtaining original vertex coordinates of a current edge component in a drawing coordinate system; s2, converting the original vertex coordinates into reference vertex coordinates under a standard coordinate system, wherein the standard coordinate system is a coordinate system adopted in a standard edge member example library; s3, calculating the size parameter, the pattern positioning point and the deflection angle of the current edge component according to the reference vertex coordinates; s4, converting the pattern positioning point into the drawing coordinate system to obtain a reference positioning point; and S5, drawing a large sample drawing of the current edge member according to the reference positioning, the size parameter and the deflection angle. The method is used for acquiring the positioning information, the deflection angle and the size parameters of the edge component to be drawn, so that various types of edge components can automatically finish drawing a large sample according to different specific design schemes.
Description
Technical Field
The invention relates to the field of engineering design, in particular to an edge member parameter calculation method based on local coordinate transformation.
Background
Most of high-rise buildings and super high-rise buildings in China comprise shear wall structures, and particularly in civil houses, the shear wall structures are generally applied. The design of a wall column construction drawing of a shear wall structure is an important part of the design of the construction drawing, the shape of an edge member in the wall column construction drawing is complex and changeable, and the edge member must be drawn in a large way in the construction drawing standard. If the edge member is drawn manually, time and labor are wasted, and therefore production efficiency can be greatly improved by adopting computer automatic drawing.
When the edge components are automatically drawn by computer software, the edge components can be classified according to drawing experience, such as a linear edge component, a T-shaped edge component, a Z-shaped edge component and the like, so that the type of the current edge component can be judged through vertex coordinates in the automatic drawing process, and a legend of the type of the current edge component is copied to the position of the current edge component to finish the drawing of the edge component without repeated drawing, thereby improving the drawing efficiency of the edge component.
However, the above-described method for drawing an edge member has a problem that although the type and illustration of the edge member can be determined, a rough outline of the edge member cannot be directly obtained from the type and illustration, and the specific parameters for drawing the rough outline of the edge member are unclear as to which position, deflection angle, and size parameters of the edge member should be currently placed in the drawing coordinate system.
Disclosure of Invention
The invention aims to provide a method for automatically drawing an edge member by adopting program software, which needs to obtain positioning information, deflection angle and size parameters of the edge member to be drawn besides determining the type of the edge member according to the vertex parameter of the current edge member, so that the edge members of various types can automatically finish drawing a big sample according to different specific design schemes, and therefore, the invention provides a method for calculating the parameter of the edge member based on local coordinate transformation.
In order to achieve the purpose, the invention adopts the technical scheme that:
a method for calculating parameters of an edge member based on local coordinate transformation specifically comprises the following steps:
s1, obtaining original vertex coordinates of a current edge component in a drawing coordinate system;
s2, converting the original vertex coordinates into reference vertex coordinates under a standard coordinate system, wherein the standard coordinate system is a coordinate system adopted in a standard edge member example library;
s3, calculating the size parameter, the pattern positioning point and the deflection angle of the current edge component according to the reference vertex coordinates;
s4, converting the pattern positioning point into the drawing coordinate system to obtain a reference positioning point;
and S5, drawing a large sample drawing of the current edge member according to the reference positioning, the size parameter and the deflection angle.
As a preferred embodiment of the present invention, step S2 specifically includes the following steps:
s21, establishing the standard coordinate system by taking one side of the standard edge component as an X axis and one side perpendicular to the X axis as a Y axis, taking a vertex at the intersection point of the X axis and the Y axis as a standard origin of the standard coordinate system,
s22, putting the current edge component under a standard coordinate system in the same way as the step S21 to obtain a standard origin of the current edge component;
and S23, selecting another vertex of the side where the X axis or the Y axis is located in the current edge component as a reference point, and calculating reference vertex coordinates of other vertexes of the current edge component in the standard coordinate system based on the coordinates of the standard origin in the drawing coordinate system and the coordinates of the reference point in the drawing coordinate system.
In a preferred embodiment of the present invention, in step S3, the lengths of the sides constituting the current edge member are calculated from the reference vertex coordinates, and the lengths of the sides of the current edge member are used as the size parameters.
As a preferable aspect of the present invention, the size parameter of the current edge member is calculated using the midpoint of each side of the current edge member as a reference point.
As a preferred embodiment of the present invention, in step S3, a symmetric center point of the edge member is calculated according to the reference vertex coordinates, and the symmetric center point is used as a pattern positioning point.
As a preferred embodiment of the present invention, if the edge member is a T-shaped edge member, the calculation formula of the symmetric center point is:
where, (xt, yt) is the coordinate of the symmetric center point in the drawing coordinate system, (nxt, nyt) is the coordinate of the symmetric center point in the standard coordinate system, (x 0, y 0) is the coordinate of the origin (0, 0) in the drawing coordinate system in the standard coordinate system, and θ is the deflection angle of the current edge member.
As a preferable embodiment of the present invention, the deflection angle in step S3 is a rotation angle of the X axis in the standard coordinate system with respect to the X axis in the drawing coordinate system.
Based on the same conception, the edge component parameter calculation module based on local coordinate transformation is also provided, which comprises a data acquisition module, a coordinate system conversion module, a calculation module and a drawing module,
the data acquisition module is used for acquiring the original vertex coordinates of the current edge member in a drawing coordinate system;
the coordinate system conversion module is used for converting the original vertex coordinates into reference vertex coordinates under a standard coordinate system, and the standard coordinate system is a coordinate system adopted in a standard edge component image library;
the calculation module is used for calculating the size parameter, the pattern positioning point and the deflection angle of the current edge component according to the reference vertex coordinates; converting the pattern positioning point into the drawing coordinate system to obtain a reference positioning point;
and the drawing module is used for drawing a rough drawing of the current edge member according to the reference positioning, the size parameter and the deflection angle.
Based on the same concept, the edge member parameter calculation device based on the local coordinate transformation comprises at least one processor and a memory which is in communication connection with the at least one processor; the memory stores instructions executable by the at least one processor to enable the at least one processor to perform a method of calculating edge member parameters based on local coordinate transformations as set forth in any one of the above.
Based on the same concept, a computer-readable medium is also proposed, on which instructions executable by a processor are stored, the instructions, when executed by the processor, causing the processor to perform a local coordinate transformation-based edge member parameter calculation method according to any one of the above.
In summary, due to the adoption of the technical scheme, the invention has the beneficial effects that:
in addition to the method for automatically drawing the edge member, the method of the invention also calculates the size parameter of the current edge member under the coordinate system of the standard edge member under the condition of converting the vertex coordinate of the current edge member from the world coordinate to the coordinate system of the standard edge member, and the calculated size parameter is more accurate. And finally, according to the rotation angle and the control point, knowing which point is used as a reference under the coordinate system of the original paper and how much angle the point is deflected, so that the edge components of various types can automatically finish large sample drawing according to different specific design schemes, and automatically obtain a large sample drawing of the edge components.
Drawings
Fig. 1 is a flowchart of a method for calculating parameters of an edge component based on local coordinate transformation according to embodiment 1 of the present invention;
FIG. 2 is a diagram of a current T-shaped edge member in an original coordinate system in embodiment 2 of the present invention;
FIG. 3 is a schematic illustration of a standard T-shaped edge member and its dimensional parameters and control point locations in example 2 of the present invention;
FIG. 4 is a view of a current T-shaped edge member in a local coordinate system in accordance with embodiment 2 of the present invention;
FIG. 5 is a diagram showing the calculation of the edge member dimension parameter using the midpoint of each side length as a reference point in embodiment 2 of the present invention;
fig. 6 is a flowchart of a specific calculation method of the edge component parameter based on local coordinate transformation in embodiment 2 of the present invention.
Detailed Description
The present invention will be described in detail below with reference to the accompanying drawings.
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
Example 1
A method for calculating parameters of an edge member based on local coordinate transformation is disclosed, and a flow chart is shown in FIG. 1, and specifically comprises the following steps:
s1, obtaining original vertex coordinates of a current edge component in a drawing coordinate system;
s2, converting the original vertex coordinates into reference vertex coordinates under a standard coordinate system, wherein the standard coordinate system is a coordinate system adopted in a standard edge member example library;
s3, calculating the size parameter, the pattern positioning point and the deflection angle of the current edge component according to the reference vertex coordinates;
s4, converting the pattern positioning point into the drawing coordinate system to obtain a reference positioning point;
and S5, drawing a large sample drawing of the current edge member according to the reference positioning, the size parameter and the deflection angle.
Preferably, step S2 specifically includes the following steps:
s21, establishing the standard coordinate system by taking one side of the standard edge component as an X axis and one side perpendicular to the X axis as a Y axis, taking a vertex at the intersection point of the X axis and the Y axis as a standard origin of the standard coordinate system,
s22, putting the current edge component under a standard coordinate system in the same way as the step S21 to obtain a standard origin of the current edge component;
and S23, selecting another vertex of the side where the X axis or the Y axis is located in the current edge component as a reference point, and calculating reference vertex coordinates of other vertexes of the current edge component in the standard coordinate system based on the coordinates of the standard origin in the drawing coordinate system and the coordinates of the reference point in the drawing coordinate system.
Preferably, in step S3, the lengths of the sides constituting the current edge member are calculated from the reference vertex coordinates, and the lengths of the sides of the current edge member are used as the size parameters.
Preferably, the dimensional parameter of the current edge member is calculated using a midpoint of each side of the current edge member as a reference point.
Preferably, in step S3, a symmetric center point of the edge member is calculated according to the reference vertex coordinates, and the symmetric center point is used as a pattern positioning point.
Preferably, if the edge member is a T-shaped edge member, the calculation formula of the symmetric center point is as follows:
wherein (xt, yt) is the coordinate of the symmetrical center point in the drawing coordinate system, (nxt, nyt) is the coordinate of the symmetrical center point in the standard coordinate system, (x 0, y 0) is the coordinate of the origin (0, 0) in the standard coordinate system in the drawing coordinate system, and theta is the deflection angle of the current edge member.
Preferably, the deflection angle in step S3 is a rotation angle of the X axis in the standard coordinate system relative to the X axis in the drawing coordinate system.
Example 2
Step S101: and establishing the corresponding relation between the vertex of the current edge component and the vertex of the standard edge component.
The program obtains data of point sets of vertices of the boundary of the current edge component (e.g., the edge component GB1 in fig. 2), for example, if the first vertex of the graph in fig. 2 is a vertex labeled as P0 and the second vertex is a vertex labeled as P7, the point sets are sorted counterclockwise, and the order of the point sets is P6, P5 \ 8230and P1 in sequence.
After analyzing the type of the current edge component, the corresponding relationship between the vertex of the current edge component and the vertex of the standard edge component can be established, for example, after the edge component GB1 in fig. 2 judges that the type is the T-shaped edge component, the vertex of GB1 and the vertex of the standard edge component can be corresponded. Figure 3 shows a standard T-shaped edge member with its dimensional parameters and control point locations.
The vertex of GB1 corresponds to the vertex of the standard edge member, namely that a vertex p0 of the graph 2 corresponds to a vertex T3 of the graph 3, a vertex p1 corresponds to an upper vertex T4, a vertex p2 corresponds to an upper vertex T5 \8230and \8230, the rest of vertexes are analogized in sequence, and the size parameters H1-H3 and B1-B2 of the standard T-shaped edge member do not need to be the same as the size parameters of GB 1.
Step S102: and carrying out local coordinate transformation on the current edge member.
Although the type of the current edge component is known, only the type of the edge component is not enough to be known when software automatically draws, because the software program does not know the size parameters of the edge component, automatic drawing cannot be realized, in order to calculate the parameters of the edge component GB1 conveniently, local coordinate transformation is performed on the edge component GB1, a local coordinate system is established with p0 as the local origin of coordinates and p1 as the point in the positive direction of the X axis, and the local coordinate system is as shown in fig. 2.
The local coordinate transformation, which is illustrated by p0 and p3, is as follows:
p0 is a local origin of coordinates, and its local coordinates are (0, 0), and the local coordinates (nx 3, ny 3) of p3 are calculated as follows:
the overall coordinates of p0, p1, p3 are known as (x 0, y 0), (x 1, y 1), (x 3, y 3);
taking p0 as a starting point and p3 as an end point, obtaining a vector V1 expression of p0 pointing to p3 through the overall coordinates of p0 and p3, wherein the vector V1 expression is (x 3-x0, y3-y 0), and V1 is (vx 1, vy 1); the expression of a vector V2 pointing to p1 from p0 can be obtained through the overall coordinates of p0 and p1, the vector V2 is also a vector V2 in the positive direction of the X axis, the expression of the vector V2 is (X1-X0, y1-y 0), and the expression of V2 is (vx 2, vy 2). Three points p0, p1 and p3 form a triangle, the length L1 of p3 projected on the X axis can be obtained through the relation of three sides of the triangle, the length L2 of p3 projected on the Y axis can also be obtained, according to the Pythagorean theorem, the relation of p3 projected on the Y axis, p3 projected on the X axis and the origin (0, 0) under the local coordinate system can be obtained, and the coordinate of p3 relative to the origin (0, 0) under the local coordinate system can be obtained:
nx3 and ny3 are the local coordinates of the point P3 in the local coordinate system, the local coordinates of the other vertexes are obtained in the same way, and the local coordinate plane of GB1 is shown in FIG. 4.
Step S103: parameters of the current edge member are calculated.
Considering that the local coordinates of each vertex in the actual engineering drawing cannot be normalized exactly as in fig. 4, the embodiment calculates the dimension parameter of the edge member by using the midpoint of each side length as a reference point, and ensures the uniqueness of the parameter value and the precision requirement of the engineering on the parameter, as shown in fig. 5.
Since the local coordinates of the current edge member have been calculated, the midpoint coordinates of the connecting line between the adjacent local coordinates (for example, midpoint coordinates (Cx 0, cy 0), (Cx 1, cy 1), (Cx 2, cy 2), (Cx 3, cy 3), (Cx 4, cy 4), (Cx 5, cy 5), (Cx 6, cy 6) and (Cx 7, cy 7)) can be obtained, and from these midpoint coordinates, the size parameters of GB1, for example, H1, H2, H3 are Cx5-Cx7, cx3-Cx5, cx1-Cx3, respectively; the size parameter B1 of GB1 is the larger value of Cy0-Cy6 and Cy0-Cy 2; the size parameter B2 of GB1 is Cy0-Cy 4-B1.
The rotation angle θ of GB1 is actually the rotation angle of the X axis of the local coordinate system established in fig. 2 with respect to the X axis of the global coordinate system, and can be calculated according to the following formula:
the control point pt of GB1 is the intersection point of the C1C7 connecting line and the C0C4 connecting line, the program obtains the local coordinate of pt according to the local coordinate, and then the local coordinate is converted into the overall coordinate, namely the coordinate point of the controlled pt.
The local coordinates are converted into global coordinates, and given that the local coordinates of the control point pt are (nxt, nyt), the global coordinates (xt, yt) of pt can be calculated as follows:
in the formula, θ represents the rotation angle of GB1, and (x 0, y 0) represents the overall coordinates of the vertex p 0.
After the coordinates of the control point pt under the overall coordinates are obtained, the positioning of the current edge component can be realized, after the rotation angle θ of the current edge component is obtained, the deflection angle of the current edge component on the drawing can be known, and after the size parameter of the current edge component is obtained, the drawing of the current edge component can be completed based on the rotation angle and the positioning, so as to obtain the structure diagram of the current edge component, and the flowchart in embodiment 2 is shown in fig. 6.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents and improvements made within the spirit and principle of the present invention are intended to be included within the scope of the present invention.
Claims (10)
1. A method for calculating parameters of an edge member based on local coordinate transformation is characterized by comprising the following steps:
s1, obtaining original vertex coordinates of a current edge component in a drawing coordinate system;
s2, converting the original vertex coordinates into reference vertex coordinates under a standard coordinate system, wherein the standard coordinate system is a coordinate system adopted in a standard edge member example library;
s3, calculating the size parameter, the pattern positioning point and the deflection angle of the current edge component according to the reference vertex coordinates;
s4, converting the pattern positioning point into the drawing coordinate system to obtain a reference positioning point;
and S5, drawing a master drawing of the current edge member according to the reference positioning, the size parameter and the deflection angle.
2. The method for calculating parameters of an edge member based on local coordinate transformation as claimed in claim 1, wherein the step S2 specifically comprises the steps of:
s21, establishing the standard coordinate system by taking one side of the standard edge component as an X axis and one side perpendicular to the X axis as a Y axis, taking a vertex at the intersection point of the X axis and the Y axis as a standard origin of the standard coordinate system,
s22, putting the current edge component under a standard coordinate system in the same way as the step S21 to obtain a standard origin of the current edge component;
and S23, selecting another vertex of the side where the X axis or the Y axis is located in the current edge component as a reference point, and calculating reference vertex coordinates of other vertexes of the current edge component in the standard coordinate system based on the coordinates of the standard origin in the drawing coordinate system and the coordinates of the reference point in the drawing coordinate system.
3. The method for calculating parameters of an edge member based on local coordinate transformation as claimed in claim 2, wherein in step S3, the lengths of the sides constituting the current edge member are calculated based on the reference vertex coordinates, and the lengths of the sides of the current edge member are used as the size parameters.
4. The method of claim 3, wherein the size parameter of the current edge member is calculated using a midpoint of each side of the current edge member as a reference point.
5. The method as claimed in claim 1, wherein in step S3, the symmetric center of the edge member is calculated according to the reference vertex coordinates, and the symmetric center is used as a pattern positioning point.
6. The method of claim 4, wherein if the edge member is a T-shaped edge member, the symmetric center point calculation formula is:
wherein (xt, yt) is the coordinate of the symmetrical center point in the drawing coordinate system, (nxt, nyt) is the coordinate of the symmetrical center point in the standard coordinate system, (x 0, y 0) is the coordinate of the origin (0, 0) in the standard coordinate system in the drawing coordinate system, and theta is the deflection angle of the current edge member.
7. The method for calculating parameters of an edge member based on local coordinate transformation of any one of claims 1-6, wherein the deflection angle in step S3 is a rotation angle of an X-axis in a standard coordinate system with respect to an X-axis in a drawing coordinate system.
8. An edge component parameter calculation module based on local coordinate transformation is characterized by comprising a data acquisition module, a coordinate system conversion module, a calculation module and a drawing module,
the data acquisition module is used for acquiring the original vertex coordinates of the current edge member in a drawing coordinate system;
the coordinate system conversion module is used for converting the original vertex coordinates into reference vertex coordinates under a standard coordinate system, and the standard coordinate system is a coordinate system adopted in a standard edge component image library;
the calculation module is used for calculating the size parameter, the pattern positioning point and the deflection angle of the current edge component according to the reference vertex coordinates; converting the pattern positioning point into the drawing coordinate system to obtain a reference positioning point;
and the drawing module is used for drawing a rough drawing of the current edge member according to the reference positioning, the size parameter and the deflection angle.
9. An edge member parameter calculation device based on local coordinate transformation, comprising at least one processor, and a memory communicatively connected to the at least one processor; the memory stores instructions executable by the at least one processor to enable the at least one processor to perform the method of any one of claims 1 to 7.
10. A computer-readable medium having stored thereon instructions executable by a processor, the instructions, when executed by the processor, causing the processor to perform a method of calculating an edge member parameter based on local coordinate transformation as claimed in any one of claims 1 to 7.
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