CN117315196A - Model construction method, device, equipment and storage medium - Google Patents
Model construction method, device, equipment and storage medium Download PDFInfo
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Abstract
The application discloses a method, a device, equipment and a storage medium for constructing a model, wherein each modeling point and each modeling line are imported into a pre-established modeling space to obtain a modeling data set; determining a target geometry of the target object based on the modeling data set; selecting a curved surface template corresponding to the target geometric form from a pre-established model library, and placing the curved surface template in a modeling space; in a modeling space, adjusting the space form of the curved surface template to obtain a first curved surface; performing triangular mesh dissection on the first curved surface to obtain a first mesh surface; and setting constraint directions of all modeling points, and performing smoothing treatment on the first grid surface according to the constraint directions of all the modeling points to obtain a target grid surface corresponding to the target object, so as to complete the construction process of the model. The proposal can obtain the target grid surface which corresponds to and is close to the target object, so that the target grid surface can accurately and precisely express the real form and the structural characteristics of the target object.
Description
Technical Field
The present application relates to the field of modeling technologies, and in particular, to a method, an apparatus, a device, and a storage medium for constructing a model.
Background
In the process of researching the surface structure, the shape or the characteristics of an object, and the like of the object, for convenience of research, an industry personnel usually models according to a research object, such as creating a three-dimensional model, and researches the created model as a real object, so that the accuracy requirement on model construction is high. For example, in the city planning and design process, aiming at the existing objects such as city streets, buildings, village houses, ancient buildings and the like, and also in the fields of geological engineering, geology and the like, aiming at complex geological objects such as dikes, karst caves, lens bodies, mountain folds and the like, a corresponding three-dimensional model is constructed with high requirements and high standards to accurately express the corresponding objects.
The model construction method commonly used today is limited to curved surfaces or parametric curved surface equations, namely, the model construction method expresses the model objects only in the range of the curved surfaces or based on the form of the parametric curved surface equations, but for those research objects with thousands of shapes, such as model construction objects with complex structures, complex forms or special forms, the current model construction method often cannot accurately express the real structures and forms of the research objects.
Disclosure of Invention
In view of this, the present application provides a method, apparatus, device and storage medium for constructing a model, where the method for constructing a model commonly used today is limited to a curved surface or a parametric curved surface equation, that is, only the modeled object is expressed in the range of the curved surface or based on the form of the parametric curved surface equation, but for the modeled object having a complex structure, a complex shape or a special shape, the problem that the true structure and shape of the modeled object cannot be expressed correctly and accurately is often solved.
In order to achieve the above object, the following schemes are proposed:
in a first aspect, a method for constructing a model includes:
importing each modeling point and each modeling line into a pre-established modeling space to obtain a modeling data set;
determining a target geometry of a target object based on the modeling data set;
selecting a curved surface template corresponding to the target geometric form from a pre-established model library, and placing the curved surface template in the modeling space;
in the modeling space, the space form of the curved surface template is adjusted to obtain a first curved surface;
performing triangular mesh subdivision on the first curved surface to obtain a first mesh surface;
Setting constraint directions of the modeling points, and performing smoothing treatment on the first grid surface according to the modeling points and the constraint directions of the modeling points to obtain a target grid surface corresponding to the target object, so as to complete the construction process of the model.
Preferably, the determining the target geometry of the target object based on the modeling data set includes:
acquiring a basic geometric form of the target object;
determining boundary lines of the basic geometric form and each target node;
selecting each target modeling point and each item of target modeling line corresponding to the boundary line and each target node from the modeling data set;
establishing an initial model corresponding to the target object in the modeling space based on each item standard modeling point and each item standard modeling line;
and determining the target geometric form of the target object according to the initial model.
Preferably, the adjusting the spatial form of the curved surface template in the modeling space to obtain a first curved surface includes:
acquiring a morphology building intention corresponding to the target object;
selecting each target transformation method from each preset spatial position transformation method according to the morphological construction intention;
The space morphology of the curved surface template is adjusted according to each target transformation method, and an initial curved surface is obtained;
judging whether the initial curved surface accords with the morphological construction intention or not;
if yes, the initial curved surface is used as a first curved surface;
if not, taking the initial curved surface as a new curved surface template, and returning to the step of executing the target transformation method selected from the preset spatial position transformation methods according to the form construction intention until the initial curved surface accords with the form construction intention.
Preferably, the smoothing processing is performed on the first mesh surface according to each modeling point and a constraint direction of each modeling point to obtain a target mesh surface corresponding to the target object, including:
projecting each modeling point to the first grid surface according to the constraint direction of each modeling point, and judging whether each modeling point is projected on the first grid surface or not so as to determine each projection point;
determining a target triangle mesh where each projection point is positioned on the first mesh surface; wherein the first grid surface comprises a plurality of triangular grids, and each triangular grid comprises three vertexes;
Constraining three vertexes of each target triangle mesh to corresponding modeling points simultaneously to obtain a second mesh surface;
and carrying out smooth optimization on the second grid surface to obtain a target grid surface.
Preferably, the constraining three vertices of each target triangle mesh to corresponding modeling points simultaneously to obtain a second mesh surface includes:
determining a target parameter corresponding to each vertex of a target triangle mesh corresponding to each modeling point aiming at each modeling point projected on the first mesh surface;
calculating a target attribute function value of each vertex of the target triangle mesh corresponding to the modeling point;
converting the modeling point into a target node based on the target attribute function value of each vertex of the target triangle mesh corresponding to the modeling point and the corresponding target parameter;
simultaneously carrying out linear constraint on each target node and other vertexes on the first grid surface according to a preset linear constraint condition to obtain constraint values of each target node and other vertexes on the first grid surface;
and assigning values to the first grid surface according to constraint values of each target node and other vertexes on the first grid surface to obtain a second grid surface.
Preferably, the smoothing optimization is performed on the second grid surface to obtain a target grid surface, which includes:
for each modeling point projected on a first mesh surface, determining, in the second mesh surface, a vertex closest to the modeling point;
moving the vertex to the modeling point to obtain a third grid surface;
judging whether the third grid surface meets preset requirements or not;
if yes, the third grid surface is used as a target grid surface;
if not, taking the third grid surface as a new first grid surface, and returning to execute the process of projecting each modeling point to the first grid surface according to the constraint direction of each modeling point until the third grid surface meets the preset requirement.
Preferably, the determining whether the third grid surface meets the preset requirement includes:
determining a normal vector of each triangular mesh on the third mesh surface;
calculating an included angle between normal vectors of every two triangular meshes;
judging whether the included angles between the normal vectors of every two triangular grids are smaller than a preset included angle threshold value or not;
if yes, determining that the third grid surface meets the preset requirement;
If not, determining that the third grid surface does not meet the preset requirement.
In a second aspect, a modeling apparatus includes:
the modeling data set establishing module is used for importing each modeling point and each modeling line into a pre-established modeling space to obtain a modeling data set;
a target geometry determining module for determining a target geometry of the target object based on the modeling data set;
the curved surface template selection module is used for selecting a curved surface template corresponding to the target geometric form from a pre-established model library and placing the curved surface template in the modeling space;
the space morphology adjustment module is used for adjusting the space morphology of the curved surface template in the modeling space to obtain a first curved surface;
the triangular mesh dissection module is used for carrying out triangular mesh dissection on the first curved surface to obtain a first mesh surface;
and the smoothing processing module is used for setting the constraint direction of each modeling point, carrying out smoothing processing on the first grid surface according to each modeling point and the constraint direction of each modeling point to obtain a target grid surface corresponding to the target object, and completing the construction process of the model.
In a third aspect, a modeling apparatus includes a memory and a processor;
the memory is used for storing programs;
the processor is configured to execute the program to implement the steps of the method for constructing a model according to the first aspect.
In a fourth aspect, a storage medium has stored thereon a computer program which, when executed by a processor, implements the steps of the method of constructing a model according to the first aspect.
According to the technical scheme, each modeling point and each modeling line are imported into a pre-established modeling space to obtain a modeling data set; determining a target geometry of a target object based on the modeling data set; selecting a curved surface template corresponding to the target geometric form from a pre-established model library, and placing the curved surface template in the modeling space; in the modeling space, the space form of the curved surface template is adjusted to obtain a first curved surface; performing triangular mesh subdivision on the first curved surface to obtain a first mesh surface; and setting constraint directions of the modeling points, and performing smoothing treatment on the first grid surface according to the constraint directions of the modeling points to obtain a target grid surface corresponding to the target object, so as to complete the construction process of the model. The scheme is that a model library is built in advance, a modeling data set is built, modeling points and modeling lines in the modeling data set are utilized to build a rough shape of a target object, a curved surface template closest to the target object is selected from the model library according to the rough shape to serve as a rough model of the target object, the curved surface template is adjusted and converted into a first grid surface, the target object can be expressed better by the grid surface, constraint directions of each modeling point are defined, the first grid surface is smoothed according to the constraint directions and the modeling points, the target grid surface which corresponds to the target object and is closer to the target object can be obtained, and the true form and structural characteristics of the target object can be expressed accurately and precisely by the target grid surface.
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In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings that are required to be used in the embodiments or the description of the prior art will be briefly described below, and it is obvious that the drawings in the following description are only embodiments of the present invention, and that other drawings can be obtained according to the provided drawings without inventive effort for a person skilled in the art.
FIG. 1 is an optional flowchart of a method for constructing a model according to an embodiment of the present application;
FIG. 2 is a schematic structural diagram of a device for constructing a model according to an embodiment of the present disclosure;
fig. 3 is a schematic structural diagram of a modeling apparatus according to an embodiment of the present application.
Detailed Description
The following description of the embodiments of the present application will be made clearly and fully with reference to the accompanying drawings, in which it is evident that the embodiments described are only some, but not all, of the embodiments of the present application. All other embodiments, which can be made by one of ordinary skill in the art without undue burden from the present disclosure, are within the scope of the present disclosure.
In the process of researching the surface structure, the shape or the characteristics of an object, and the like of the object, for convenience of research, an industry personnel usually models according to a research object, such as creating a three-dimensional model, and researches the created model as a real object, so that the accuracy requirement on model construction is high. For example, in the city planning and design process, aiming at the existing objects such as city streets, buildings, village houses, ancient buildings and the like, and also in the fields of geological engineering, geology and the like, aiming at complex geological objects such as dikes, karst caves, lens bodies, mountain folds and the like, a corresponding three-dimensional model is constructed with high requirements and high standards to accurately express the corresponding objects.
The model construction method commonly used today is limited to curved surfaces or parametric curved surface equations, namely, the model construction method expresses the model objects only in the range of the curved surfaces or based on the form of the parametric curved surface equations, but for those research objects with thousands of shapes, such as model construction objects with complex structures, complex forms or special forms, the current model construction method often cannot accurately express the real structures and forms of the research objects.
The embodiment of the invention provides a method for constructing a model, which can be applied to various computer terminals or intelligent terminals, wherein an execution subject of the method can be a processor or a server of the computer terminal or the intelligent terminal, and a flow chart of the method is shown in fig. 1, and specifically comprises the following steps:
s1: and importing each modeling point and each modeling line into a pre-created modeling space to obtain a modeling data set.
Specifically, a modeling space may be created in advance in a three-dimensional graphics platform, and then modeling points and modeling lines used to construct the model are imported into the modeling space to construct the model, while the respective modeling points and modeling lines are combined to form a modeling data set. An appropriate amount of modeling points and an appropriate amount of modeling lines can be introduced into the modeling space according to the size and complexity of the target object.
The modeling data set can be used not only to build a rough model, but also as a constraint to constrain the initially built model. The individual modeling points may be combined into a set of modeling points P { (x) i ，y i ，z i )|i＝1,2,3...,n}。
S2: a target geometry of the target object is determined based on the modeling data set.
The target object mentioned in the application may refer to an existing house, an ancient building, a geological object, or an irregular structure with a complex form, such as a complex curved surface, a grid surface, etc., and specifically may be an ancient tower, a rural house, a rock vein, a karst cave, a lens body, a mountain fold, a rock foundation, a bench, a rock bed, a split valley, etc., a ground surface, a geology, and a topography.
In the step S1, it is mentioned that the shape, characteristics, geometry, etc. of the target object may be roughly expressed according to the modeling data set, and the geometry is a geometry object formed by basic geometry elements such as points, lines, curves, planes or curved surfaces, etc., so that in this step, modeling points and modeling lines may be connected with reference to the basic geometry of the target object, and combined into a geometry object corresponding to the target object, and the target geometry of the target object is determined according to the geometry object.
The preliminary determination of the target geometry of the target object is to build a basic model of the target object, and the subsequent process is to correct, modify and optimize the basic model, so as to obtain a relatively accurate model.
S3: and selecting a curved surface template corresponding to the target geometric form from a pre-established model library, and placing the curved surface template in the modeling space.
Optionally, some model structures can be built by using the three-dimensional graphic platform, that is, a plurality of curved surface (nurbs) templates are built in the three-dimensional graphic platform in advance according to the characteristics of a plurality of different target objects so as to express various target objects and gather to form a model library, so that the model library can be used for reference by researchers when researching topography and topography, and can be directly processed and reformed as templates when the models are subsequently built.
After the target geometry of the target object is determined, selecting a template from the model library according to the target geometry, wherein the template and the target object correspond to each other, namely, selecting a curved surface template closest and similar to the target object from the model library, and placing the selected curved surface template in a modeling space to determine the model structure of the target object based on the curved surface template.
S4: and in the modeling space, the space morphology of the curved surface template is adjusted to obtain a first curved surface.
Since the curved surface templates are selected according to the target geometric form of the target object in the model library, the geometric form of the curved surface templates can be considered to be approximately indicative of the target geometric form of the target object, and the curved surface templates are the curved surface templates closest to the target object in all the curved surface templates of the model library, but the curved surface templates can completely represent the target object without representing the curved surface templates, and the dimensional and the spatial extension directions of the curved surface templates are different, so that after the curved surface templates are placed in a modeling space, the spatial form of the curved surface templates needs to be adjusted to be closer to the real target object, and the adjusted curved surface templates are used as the first curved surface.
S5: and performing triangular mesh subdivision on the first curved surface to obtain a first mesh surface.
Specifically, triangulating the first curved surface may obtain a mesh (mesh) surface. The mesh plane generally refers to a mesh structure in a network topology, which is a network that can represent a 3D model. The method comprises the steps of obtaining the distance between every two modeling points in a modeling data set, determining the minimum distance from the distance, taking the minimum distance as a target distance, taking the target distance as a triangular mesh dissection distance, and performing triangular mesh dissection on a first curved surface to obtain a first mesh surface with a certain node density.
Since the first curved surface may be a closed surface or an open surface, the first mesh surface obtained by triangulation of the first curved surface may also be a closed surface or an open surface, and the first mesh surface may be expressed asIn addition, the first mesh surface is a triangular mesh surface, the appearance of the first mesh surface is similar to that of a triangle, each mesh is a triangular mesh, the first mesh surface can be regarded as a large triangular curved surface consisting of countless triangles, each node in the first mesh surface is a triangular vertex, Ω is a set of all triangular vertices in the first mesh surface, Ω= { V 1 ,V 2 ,V 3 …, N represents the neighborhood of vertices, e.g., N k Representing a neighborhood of triangle vertices k, which contains k and all triangle vertices near k, ++>Representing attribute function values, e.g.)>The nth attribute function value representing vertex k.
Based on another consideration, the node density on the first mesh surface is much greater than the modeling point, so the conversion of the first surface to the first mesh surface is also to allow for finer models.
S6: and setting constraint directions of the modeling points, and performing smoothing treatment on the first grid surface according to the projection points and the constraint directions of the projection points to obtain a target grid surface corresponding to the target object, so as to complete the construction process of the model.
Each modeling point in the modeling data set can be used for constructing a model, and is also required to be used for restraining the first grid surface, so that the first grid surface gradually tends to be smooth under the restraint of each modeling point, the obtained target grid surface is more reasonable and not abrupt, and the structure and the characteristics of a target object can be expressed more accurately.
The constraint directions of the modeling points can be defined, some modeling points are defined as vertical constraints, some modeling points are defined as normal constraints, some modeling points are self-defined as constraint directions of different angles, and the embodiment is not limited to this. After the constraint directions are defined, each modeling point is projected onto the first grid surface according to the constraint directions corresponding to each modeling point, then each triangular vertex on the first grid surface is constrained and smoothed by utilizing the projection point corresponding to each modeling point, so that a target grid surface corresponding to the target object can be obtained.
According to the technical scheme, each modeling point and each modeling line are imported into a pre-established modeling space to obtain a modeling data set; determining a target geometry of a target object based on the modeling data set; selecting a curved surface template corresponding to the target geometric form from a pre-established model library, and placing the curved surface template in the modeling space; in the modeling space, the space form of the curved surface template is adjusted to obtain a first curved surface; performing triangular mesh subdivision on the first curved surface to obtain a first mesh surface; and setting constraint directions of the modeling points, and performing smoothing treatment on the first grid surface according to the constraint directions of the modeling points to obtain a target grid surface corresponding to the target object, so as to complete the construction process of the model. The scheme is that a model library is built in advance, a modeling data set is built, modeling points and modeling lines in the modeling data set are utilized to build a rough shape of a target object, a curved surface template closest to the target object is selected from the model library according to the rough shape to serve as a rough model of the target object, the curved surface template is adjusted and converted into a first grid surface, the target object can be expressed better by the grid surface, constraint directions of each modeling point are defined, the first grid surface is smoothed according to the constraint directions and the modeling points, the target grid surface which corresponds to the target object and is closer to the target object can be obtained, and the true form and structural characteristics of the target object can be expressed accurately and precisely by the target grid surface.
In the method provided by the embodiment of the invention, based on the modeling data set, a flow for determining the target geometry of the target object is specifically described as follows:
acquiring a basic geometric form of the target object;
determining boundary lines of the basic geometric form and each target node;
selecting each target modeling point and each item of target modeling line corresponding to the boundary line and each target node from the modeling data set;
establishing an initial model corresponding to the target object in the modeling space based on each item standard modeling point and each item standard modeling line;
and determining the target geometric form of the target object according to the initial model.
Specifically, for the target object to be modeled, the basic geometry of the target object is known, so that the basic geometry can be represented by boundary lines and nodes, which are important for the target object, or the nodes are relatively prominent and representative nodes, which can represent the properties and characteristics of the target object, so that the nodes are selected as target nodes, after the basic geometry of the target object is obtained, boundary lines and target nodes of the basic geometry are determined, then the positions of the target nodes relative to the basic geometry are determined, and corresponding modeling points and modeling lines are selected from a modeling data set according to the boundary lines as the target modeling points and the target modeling lines, so that an initial model structure, namely an initial model, is established in the modeling space by utilizing the target modeling points and the target modeling lines, and the target geometry of the target object can be determined according to the initial model.
According to the method, the deviation between the basic geometric form directly acquired by the target object and the target object is larger, but the basic geometric form is taken as a starting point, the boundary line, the target modeling point and the target modeling line are determined, an initial model similar to the target object can be constructed, the target geometric form determined according to the initial model is basically consistent with the real geometric form of the target object, and modeling by using the target geometric form is more real.
The above scheme describes the process of determining the target geometry of the target object based on the modeling data set in the present application, and the following describes the step of adjusting the spatial morphology of the curved surface template in the modeling space to obtain the first curved surface in detail in the present application.
Acquiring a morphology building intention corresponding to the target object;
selecting each target transformation method from each preset spatial position transformation method according to the morphological construction intention;
the space morphology of the curved surface template is adjusted according to each target transformation method, and an initial curved surface is obtained;
judging whether the initial curved surface accords with the morphological construction intention or not;
If yes, the initial curved surface is used as a first curved surface;
if not, taking the initial curved surface as a new curved surface template, and returning to the step of executing the target transformation method selected from the preset spatial position transformation methods according to the form construction intention until the initial curved surface accords with the form construction intention.
Specifically, the morphological structure is intended to mean what model structure is intended to be obtained by the model structure method of the present application, and a rough idea is set in advance; the preset spatial position transformation method comprises moving, rotating, scaling and the like, and in the scaling method, a reference surface can be custom set and non-uniform scaling is carried out on the curved surface template according to the reference surface.
In addition, the method can be selected from preset space position transformation methods such as movement, rotation, scaling and the like according to the morphological construction intention, for example, when the selected curved surface template is placed in a modeling space, the selected curved surface template is not placed at a proper position, so that the curved surface template needs to be moved, and then the moving method can be used as a target transformation method; for example, the angle of the selected curved surface template does not coincide with the target object, and does not correspond to the morphological construction intention, and the rotation method can be used as a target transformation method; for example, the curved surface template is smaller, the shape and the characteristics of the surface of the target object cannot be clearly and completely expressed by the current size of the curved surface template, or the curved surface template is larger, and a subsequent series of adjustment processes are inconvenient after the curved surface template is placed in a modeling space, so that the scaling method can be used as a target transformation method. It is to be understood that the spatial position conversion method in the present application is not limited to the method mentioned in the above embodiment.
Further, the process of smoothing the first mesh surface according to each modeling point and the constraint direction of each modeling point to obtain a target mesh surface corresponding to the target object is explained in detail below.
Projecting each modeling point to the first grid surface according to the constraint direction of each modeling point, and judging whether each modeling point is projected on the first grid surface or not so as to determine each projection point;
determining a target triangle mesh where each projection point is positioned on the first mesh surface; wherein the first grid surface comprises a plurality of triangular grids, and each triangular grid comprises three vertexes;
constraining three vertexes of each target triangle mesh to corresponding modeling points simultaneously to obtain a second mesh surface;
and carrying out smooth optimization on the second grid surface to obtain a target grid surface.
Specifically, in the process of projecting each modeling point on the first mesh surface, since the constraint direction of the modeling point may be random or the constraint direction of each modeling point is different, and meanwhile, the first mesh surface is a curved surface and the shape may not be standard, not every modeling point may be projected on the first mesh surface, so it is necessary to determine whether each modeling point is projected on the first mesh surface, if there is a projected modeling point, a point of projecting the modeling point on the first mesh surface is regarded as a projection point corresponding to the modeling point, and every projection point is in a triangle mesh falling on the first mesh surface.
In addition, control nodes can be added on the first grid surface, or modeling points can be added in a modeling space, so that triangle vertexes or modeling points are richer, and the geometric form of the triangle vertexes or modeling points can be further adjusted before the first grid surface is subjected to smoothing treatment, so that the subsequent smoothing treatment process is smoother and more efficient.
Optionally, the process of constraining three vertices of each target triangle mesh to corresponding modeling points simultaneously to obtain the second mesh surface includes:
determining a target parameter corresponding to each vertex of a target triangle mesh corresponding to each modeling point aiming at each modeling point projected on the first mesh surface; calculating a target attribute function value of each vertex of the target triangle mesh corresponding to the modeling point; converting the modeling point into a target node based on the target attribute function value of each vertex of the target triangle mesh corresponding to the modeling point and the corresponding target parameter; simultaneously carrying out linear constraint on each target node and other vertexes on the first grid surface according to a preset linear constraint condition to obtain constraint values of each target node and other vertexes on the first grid surface; and assigning values to the first grid surface according to constraint values of each target node and other vertexes on the first grid surface to obtain a second grid surface.
In one example, one modeling point is denoted as p a Projecting the modeling point to a first grid surface according to the constraint direction of the modeling point, wherein the corresponding projection point can be expressed as p a The projection point p' is calculated a The triangle mesh where' falls is the target triangle mesh corresponding to the projection point, denoted as T (V l ,V m ,V n ) Wherein V is l 、V m 、V n Representing three vertices of the triangle mesh, respectively, with which the projection point is represented, namely:
wherein u, v and w are target parameters corresponding to each vertex of the target triangle mesh corresponding to the modeling point;the nth attribute function value representing vertex k.
Alternatively, three vertexes of each target triangle mesh are simultaneously constrained to corresponding modeling points by using a discrete smooth interpolation algorithm, and only space can be interpolated in the application, namely, for x, y and z, the space can be expressed asIt can be understood that the projection points corresponding to the modeling points or the three vertexes of the target triangle mesh corresponding to the projection points approach the modeling points under the influence of the preset confidence factors, namely p a v '≈p a v I.e. converting the modeled point to a target node:
then the surface structure of the first mesh surface will change, in the discrete smooth interpolation calculation process, the vertex calculation of each triangle is considered as one iteration, after the iteration is repeated, the projection points or the vertices of the triangle mesh with the corresponding projection points will be found to gradually approach the corresponding modeling points, and the consideration is that, since only the projection points or three vertices move and change at the present stage, other places on the first mesh surface will also move, so it can be understood that, in order to ensure the smoothness of the first mesh surface, the vertices of other triangle meshes on the first mesh surface will also move along.
Setting linear constraint conditions of a discrete smooth interpolation algorithm:simultaneously performing linear constraint on each target node and other vertexes on the first grid surface according to a preset linear constraint condition to obtain constraint values of each target node and other vertexes on the first grid surface, namely:
wherein b i v ＝p a v ，And b i v Are weight coefficients, alpha can represent triangle vertexes used for constraint, i represents the number of modeling points, namely the number of constraint conditions, and each modeling point with corresponding triangle meshes is the constraint condition of the corresponding triangle meshes, namely +.>Top on triangle mesh with constraintsAnd the constraint value of the point is not 0, the constraint value of the vertex on the triangle mesh without the constraint condition is 0, and then the first mesh surface is assigned according to the constraint values of each target node and other vertices on the first mesh surface, so that the second mesh surface can be obtained.
Specifically, according to the calculation formula of the discrete smooth interpolation algorithm:
wherein, a confidence factor, which may also be referred to as a positive weight coefficient, represents the importance of that constraint relative to other constraints; p (P) i The value is obtained according to the constraint condition and the smoothness demand degree weight of the first grid surface, and P i =1 represents that consideration of the constraint of item i and obtaining a smooth solution are equally important; j (j) α (k) Is defined in the k neighborhood of vertex k The weight function of all the vertexes can be positive number, negative number or zero; μ (k) is a weight function defining all vertices on vertex k e Ω to adjust the local smoothness of the interpolation, typically taking the constant weight μ (k) =1, namely:
the value of N (k) - { k } | is the number of the neighborhood of the vertex k minus 1, so that for the vertex without constraint conditions, that is, the vertex of the triangle mesh without the projection point falling, the calculation formula can be simplified as follows:
further, the process of performing smooth optimization on the second grid surface to obtain the target grid surface specifically includes:
for each modeling point projected on a first mesh surface, determining, in the second mesh surface, a vertex closest to the modeling point; moving the vertex to the modeling point to obtain a third grid surface; judging whether the third grid surface meets preset requirements or not; if yes, the third grid surface is used as a target grid surface; if not, taking the third grid surface as a new first grid surface, and returning to execute the process of projecting each modeling point to the first grid surface according to the constraint direction of each modeling point until the third grid surface meets the preset requirement.
It will be appreciated that the above process may be regarded as a process of performing multiple iterations on the first mesh surface using a discrete smooth interpolation algorithm, so as to prevent that some triangle vertices do not approach the modeling points as expected, thereby affecting the accuracy of the second mesh surface, determining each vertex closest to each modeling point in the second mesh surface, and then moving each vertex to a corresponding modeling point to obtain a third mesh surface, so that the second mesh surface is closer to the target object and smoother. At this time, the third grid surface can be judged, whether the third grid surface meets the preset requirement is judged, if so, the third grid surface is used as a final target grid surface, and the construction of a model is completed; if not, continuing iteration, namely continuing constraint processing until the third grid surface meets the preset requirement.
Optionally, the process of determining whether the third grid surface meets the preset requirement may include the following steps:
determining a normal vector of each triangular mesh on the third mesh surface;
calculating an included angle between normal vectors of every two triangular meshes;
judging whether the included angles between the normal vectors of every two triangular grids are smaller than a preset included angle threshold value or not;
If yes, determining that the third grid surface meets the preset requirement;
if not, determining that the third grid surface does not meet the preset requirement.
In the scheme, the included angle of the normal vector between every two triangular grids on the third grid surface is calculated to ensure that the third grid surface has no position with larger fluctuation, unreasonable and inconsistent with the general rule of the study object, and the smoothness of the target grid surface can be ensured more.
Furthermore, the method for constructing the model can be applied to various fields, for example, building engineers can be assisted to model according to own ideas, and the architect can realize quick visual modeling for the existing house building and ancient building; in the field of game development, various game roles with complex shapes, complex terrains and the like can be modeled; the method can be applied to repair technology, namely, surface modeling repair is carried out on the object with the defect and the damage; in the medical field, three-dimensional model construction is carried out on structures such as organs and the like for medical research; in the field of manufacturing industry, the model created by the method can simulate the component behaviors under nonlinear, dynamic or multi-physical scenes, so that the manufacturing efficiency can be improved, and the cost can be reduced.
Corresponding to the method described in fig. 1, the embodiment of the present invention further provides a device for constructing a model, which is used for implementing the method in fig. 1, where the device for constructing a model provided in the embodiment of the present invention may be implemented in a computer terminal or various mobile devices, and in conjunction with fig. 2, the device for constructing a model is described, as shown in fig. 2, and may include:
a modeling data set creation module 10, configured to import each modeling point and each modeling line in a modeling space created in advance, to obtain a modeling data set;
a target geometry determination module 20 for determining a target geometry of the target object based on the modeling data set;
a curved surface template selecting module 30, configured to select a curved surface template corresponding to the target geometry from a pre-established model library, and place the curved surface template in the modeling space;
a space morphology adjustment module 40, configured to adjust a space morphology of the curved surface template in the modeling space, so as to obtain a first curved surface;
the triangulation module 50 is configured to perform triangulation on the first curved surface to obtain a first mesh surface;
the smoothing module 60 is configured to set a constraint direction of each modeling point, and perform smoothing on the first mesh surface according to each modeling point and the constraint direction of each modeling point, so as to obtain a target mesh surface corresponding to the target object, and complete a construction process of a model.
According to the technical scheme, each modeling point and each modeling line are imported into a pre-established modeling space to obtain a modeling data set; determining a target geometry of a target object based on the modeling data set; selecting a curved surface template corresponding to the target geometric form from a pre-established model library, and placing the curved surface template in the modeling space; in the modeling space, the space form of the curved surface template is adjusted to obtain a first curved surface; performing triangular mesh subdivision on the first curved surface to obtain a first mesh surface; and setting constraint directions of the modeling points, and performing smoothing treatment on the first grid surface according to the constraint directions of the modeling points to obtain a target grid surface corresponding to the target object, so as to complete the construction process of the model. The scheme is that a model library is built in advance, a modeling data set is built, modeling points and modeling lines in the modeling data set are utilized to build a rough shape of a target object, a curved surface template closest to the target object is selected from the model library according to the rough shape to serve as a rough model of the target object, the curved surface template is adjusted and converted into a first grid surface, the target object can be expressed better by the grid surface, constraint directions of each modeling point are defined, the first grid surface is smoothed according to the constraint directions and the modeling points, the target grid surface which corresponds to the target object and is closer to the target object can be obtained, and the true form and structural characteristics of the target object can be expressed accurately and precisely by the target grid surface.
Still further, embodiments of the present application provide a modeling apparatus. Alternatively, fig. 3 shows a block diagram of a hardware structure of a modeling apparatus, and referring to fig. 3, the hardware structure of the modeling apparatus may include: at least one processor 01, at least one communication interface 02, at least one memory 03 and at least one communication bus 04.
In the embodiment of the present application, the number of the processor 01, the communication interface 02, the memory 03 and the communication bus 04 is at least one, and the processor 01, the communication interface 02 and the memory 03 complete communication with each other through the communication bus 04.
The processor 01 may be a central processing unit CPU, or a specific integrated circuit ASIC (Application Specific Integrated Circuit), or one or more integrated circuits configured to implement embodiments of the present invention, or the like.
The memory 03 may include a high-speed RAM memory, and may further include a nonvolatile memory (non-volatile memory) or the like, such as at least one magnetic disk memory.
The memory stores a program, and the processor can call the program stored in the memory, and the program is used for executing the construction method of the following model, which comprises the following steps:
importing each modeling point and each modeling line into a pre-established modeling space to obtain a modeling data set;
Determining a target geometry of a target object based on the modeling data set;
selecting a curved surface template corresponding to the target geometric form from a pre-established model library, and placing the curved surface template in the modeling space;
in the modeling space, the space form of the curved surface template is adjusted to obtain a first curved surface;
performing triangular mesh subdivision on the first curved surface to obtain a first mesh surface;
setting constraint directions of the modeling points, and performing smoothing treatment on the first grid surface according to the modeling points and the constraint directions of the modeling points to obtain a target grid surface corresponding to the target object, so as to complete the construction process of the model.
Alternatively, the refinement function and the extension function of the program may refer to the description of the construction method of the model in the method embodiment.
The embodiment of the application also provides a storage medium, which can store a program suitable for being executed by a processor, and when the program runs, the device where the storage medium is controlled to execute the method for constructing the following model, including:
importing each modeling point and each modeling line into a pre-established modeling space to obtain a modeling data set;
Determining a target geometry of a target object based on the modeling data set;
selecting a curved surface template corresponding to the target geometric form from a pre-established model library, and placing the curved surface template in the modeling space;
in the modeling space, the space form of the curved surface template is adjusted to obtain a first curved surface;
performing triangular mesh subdivision on the first curved surface to obtain a first mesh surface;
setting constraint directions of the modeling points, and performing smoothing treatment on the first grid surface according to the modeling points and the constraint directions of the modeling points to obtain a target grid surface corresponding to the target object, so as to complete the construction process of the model.
In particular, the storage medium may be a computer-readable storage medium, which may be an electronic memory such as a flash memory, an EEPROM (electrically erasable programmable read only memory), an EPROM, a hard disk, or a ROM.
Alternatively, the refinement function and the extension function of the program may refer to the description of the construction method of the model in the method embodiment.
In addition, functional modules in various embodiments of the present disclosure may be integrated together to form a single portion, or each module may exist alone, or two or more modules may be integrated to form a single portion. The functions, if implemented in the form of software functional modules and sold or used as a stand-alone product, may be stored on a computer readable storage medium. Based on such understanding, the technical solution of the present disclosure may be embodied in essence or a part contributing to the prior art or a part of the technical solution, or in the form of a software product stored in a storage medium, including several instructions to cause a computer device (which may be a personal computer, a live device, or a network device, etc.) to perform all or part of the steps of the methods of the embodiments of the present disclosure.
Finally, it is further noted that relational terms such as first and second, and the like are used solely to distinguish one entity or action from another entity or action without necessarily requiring or implying any actual such relationship or order between such entities or actions. Moreover, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Without further limitation, an element defined by the phrase "comprising one … …" does not exclude the presence of other like elements in a process, method, article, or apparatus that comprises the element.
In the present specification, each embodiment is described in a progressive manner, and each embodiment is mainly described in a different point from other embodiments, and identical and similar parts between the embodiments are all enough to refer to each other.
The previous description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the present application. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the application. Thus, the present application is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.
Claims (10)
1. A method of constructing a model, comprising:
importing each modeling point and each modeling line into a pre-established modeling space to obtain a modeling data set;
determining a target geometry of a target object based on the modeling data set;
selecting a curved surface template corresponding to the target geometric form from a pre-established model library, and placing the curved surface template in the modeling space;
in the modeling space, the space form of the curved surface template is adjusted to obtain a first curved surface;
performing triangular mesh subdivision on the first curved surface to obtain a first mesh surface;
setting constraint directions of the modeling points, and performing smoothing treatment on the first grid surface according to the modeling points and the constraint directions of the modeling points to obtain a target grid surface corresponding to the target object, so as to complete the construction process of the model.
2. The method of claim 1, wherein the determining the target geometry of the target object based on the modeling data set comprises:
acquiring a basic geometric form of the target object;
determining boundary lines of the basic geometric form and each target node;
Selecting each target modeling point and each item of target modeling line corresponding to the boundary line and each target node from the modeling data set;
establishing an initial model corresponding to the target object in the modeling space based on each item standard modeling point and each item standard modeling line;
and determining the target geometric form of the target object according to the initial model.
3. The method of claim 1, wherein said adjusting the spatial morphology of the surface template in the modeling space to obtain a first surface comprises:
acquiring a morphology building intention corresponding to the target object;
selecting each target transformation method from each preset spatial position transformation method according to the morphological construction intention;
the space morphology of the curved surface template is adjusted according to each target transformation method, and an initial curved surface is obtained;
judging whether the initial curved surface accords with the morphological construction intention or not;
if yes, the initial curved surface is used as a first curved surface;
if not, taking the initial curved surface as a new curved surface template, and returning to the step of executing the target transformation method selected from the preset spatial position transformation methods according to the form construction intention until the initial curved surface accords with the form construction intention.
4. The method according to claim 1, wherein the smoothing the first mesh surface according to each modeling point and the constraint direction of each modeling point to obtain a target mesh surface corresponding to the target object includes:
projecting each modeling point to the first grid surface according to the constraint direction of each modeling point, and judging whether each modeling point is projected on the first grid surface or not so as to determine each projection point;
determining a target triangle mesh where each projection point is positioned on the first mesh surface; wherein the first grid surface comprises a plurality of triangular grids, and each triangular grid comprises three vertexes;
constraining three vertexes of each target triangle mesh to corresponding modeling points simultaneously to obtain a second mesh surface;
and carrying out smooth optimization on the second grid surface to obtain a target grid surface.
5. The method of claim 4, wherein constraining three vertices of each target triangle mesh to corresponding modeling points simultaneously results in a second mesh surface, comprising:
determining a target parameter corresponding to each vertex of a target triangle mesh corresponding to each modeling point aiming at each modeling point projected on the first mesh surface;
Calculating a target attribute function value of each vertex of the target triangle mesh corresponding to the modeling point;
converting the modeling point into a target node based on the target attribute function value of each vertex of the target triangle mesh corresponding to the modeling point and the corresponding target parameter;
simultaneously carrying out linear constraint on each target node and other vertexes on the first grid surface according to a preset linear constraint condition to obtain constraint values of each target node and other vertexes on the first grid surface;
and assigning values to the first grid surface according to constraint values of each target node and other vertexes on the first grid surface to obtain a second grid surface.
6. The method of claim 4, wherein performing a smoothing optimization on the second mesh surface to obtain a target mesh surface comprises:
for each modeling point projected on a first mesh surface, determining, in the second mesh surface, a vertex closest to the modeling point;
moving the vertex to the modeling point to obtain a third grid surface;
judging whether the third grid surface meets preset requirements or not;
if yes, the third grid surface is used as a target grid surface;
If not, taking the third grid surface as a new first grid surface, and returning to execute the process of projecting each modeling point to the first grid surface according to the constraint direction of each modeling point until the third grid surface meets the preset requirement.
7. The method of claim 6, wherein the determining whether the third grid surface meets a preset requirement comprises:
determining a normal vector of each triangular mesh on the third mesh surface;
calculating an included angle between normal vectors of every two triangular meshes;
judging whether the included angles between the normal vectors of every two triangular grids are smaller than a preset included angle threshold value or not;
if yes, determining that the third grid surface meets the preset requirement;
if not, determining that the third grid surface does not meet the preset requirement.
8. A model building apparatus, comprising:
the modeling data set establishing module is used for importing each modeling point and each modeling line into a pre-established modeling space to obtain a modeling data set;
a target geometry determining module for determining a target geometry of the target object based on the modeling data set;
The curved surface template selection module is used for selecting a curved surface template corresponding to the target geometric form from a pre-established model library and placing the curved surface template in the modeling space;
the space morphology adjustment module is used for adjusting the space morphology of the curved surface template in the modeling space to obtain a first curved surface;
the triangular mesh dissection module is used for carrying out triangular mesh dissection on the first curved surface to obtain a first mesh surface;
and the smoothing processing module is used for setting the constraint direction of each modeling point, carrying out smoothing processing on the first grid surface according to each modeling point and the constraint direction of each modeling point to obtain a target grid surface corresponding to the target object, and completing the construction process of the model.
9. A model construction device, comprising a memory and a processor;
the memory is used for storing programs;
the processor is configured to execute the program to implement the respective steps of the method for constructing a model according to any one of claims 1 to 7.
10. A storage medium having stored thereon a computer program which, when executed by a processor, implements the steps of the method of constructing a model according to any one of claims 1-7.
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