CN112487674B - Method and apparatus for generating model of lattice structure - Google Patents
Method and apparatus for generating model of lattice structure Download PDFInfo
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- CN112487674B CN112487674B CN202011138248.6A CN202011138248A CN112487674B CN 112487674 B CN112487674 B CN 112487674B CN 202011138248 A CN202011138248 A CN 202011138248A CN 112487674 B CN112487674 B CN 112487674B
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Abstract
The application provides a method and a device for generating a model of a lattice structure, wherein the method comprises the following steps: receiving a model generation instruction, wherein the model generation instruction comprises the size of a target object, generating a lattice wire frame model of the target object according to the size of the target object, the lattice wire frame model comprises a plurality of nodes and a plurality of edges connected with the nodes, aiming at each node in the lattice wire frame model, taking each edge connected with the node as a normal vector according to the node, respectively establishing a circular outline, generating a convex cell grid of the node according to each circular outline correspondingly established by the node by adopting a point set triangulation method, aiming at each edge in the lattice wire frame model, generating a rod surrounding grid of the edge according to two circular outlines correspondingly established by the edge by adopting the point set triangulation method, so as to obtain a lattice structure entity model of the target object, and the lattice structure entity model is used for additive manufacturing of the target object. The method can improve the efficiency of generating the lattice structure solid model.
Description
Technical Field
The present disclosure relates to the field of lattice structure generation technologies, and in particular, to a method and an apparatus for generating a model of a lattice structure.
Background
The additive manufacturing is a manufacturing technology for forming parts by stacking materials layer by layer, the additive manufacturing based on the lattice structure fills the parts by using the lattice structure, the strength-weight ratio of the parts is improved, the materials are saved, the parts are endowed with special mechanical properties, the manufacturing of light parts is realized, and the additive manufacturing has important application in the aerospace and automobile industries.
At present, a lattice structure solid model is constructed by using Computer Aided Design (CAD) software or a geometric modeling kernel according to the size of a part, a corresponding Standard Template Library (STL) model is generated according to the lattice structure solid model, and additive manufacturing is performed according to the generated STL model.
Since the lattice structure solid model is formed by stacking lattices, and rods connected to each other in the lattices overlap at nodes of the lattices, boolean operations are required to be performed on the overlapping portions between the rods to remove the overlapping portions. However, the boolean operation process is complex, occupies more processing resources, and results in a low efficiency of generating lattice structure solid models.
Disclosure of Invention
The application provides a method and a device for generating a model of a lattice structure, which aim to solve the problem of low efficiency of generating a solid model of the lattice structure.
In a first aspect, the present application provides a method for generating a model of a lattice structure, including:
receiving a model generation instruction, wherein the model generation instruction comprises the size of the target object;
generating a lattice wire frame model of the target object according to the size of the target object, wherein the lattice wire frame model comprises a plurality of nodes and a plurality of edges connected with each node;
aiming at each node in the lattice wire frame model, according to the node, each edge connected with the node is used as a normal vector, and a circular outline is respectively established; generating a convex cell grid of the node at the node by adopting a point set triangulation mode according to each circle contour correspondingly established by the node;
aiming at each edge in the lattice wire frame model, generating a rod surrounding grid of the edge by adopting a point set triangulation mode according to two circle profiles correspondingly established by the edge so as to obtain a lattice structure solid model of the target object, wherein the lattice structure solid model is used for additive manufacturing of the target object.
Optionally, before each edge connected to a node is taken as a normal vector according to the node and a circular contour is respectively established, the method further includes:
determining a target distance according to the cross section size of the rod in the lattice structure solid model and the minimum angle between the rod and each side connected with the node;
according to the nodes, each edge connected with the nodes is used as a normal vector to respectively establish a circular contour, and the method comprises the following steps:
and according to the nodes, taking each edge connected with the nodes as a normal vector, and respectively establishing circular outlines at positions away from the target distance of the nodes.
Optionally, determining a target distance according to the cross-sectional dimension of the rod in the lattice structure solid model and the minimum angle between the rod and each side connected to the node, includes:
using a formula
Determining a target distance;
wherein D is p Is the compensation distance, R, of the relative node of the circular contour rod Is the cross-sectional dimension of the rods in the solid model of the lattice structure, theta is the minimum angle between the nodal connection edges, and C is a scaling factor greater than 1.
Optionally, before generating the convex cell grids of the nodes by using a point set triangulation manner according to each circle contour correspondingly established by the nodes, the method further includes:
determining the target number according to the precision of the grids in the lattice structure solid model;
according to each circle contour correspondingly established by the nodes, a point set triangulation mode is adopted to generate the convex cell grids of the nodes, and the method comprises the following steps:
equally spacing target number of points on each circular contour corresponding to the nodes;
and generating a convex cell grid of the nodes by adopting a point set triangulation mode according to the number of the target points on each circular contour.
Optionally, after the nodes generate the convex cell grids of the nodes, the method further includes:
and respectively sectioning the convex cell grids of the nodes and the triangular grids of the superposed parts of the circular outlines by using planes superposed with the circular outlines to obtain the sectioned convex cell grids of the nodes.
Optionally, generating a lattice wire frame model of the target object according to the size of the target object includes:
determining the number of nodes of the lattice wire frame model on 3 orthogonal direction vectors in a Cartesian coordinate system according to the size of the target object and the size of the lattice;
determining the coordinates of each node on each orthogonal direction vector according to the number of the nodes of the lattice wire frame model on each orthogonal direction vector in a Cartesian coordinate system;
and generating a lattice wire frame model of the target object according to the coordinates of each node on each orthogonal direction vector.
Optionally, after obtaining the lattice structure entity model of the target object, the method further includes:
acquiring an STL model of a target object;
cutting the lattice structure solid model of the target object according to the STL model of the target object by using a ray and triangle intersection algorithm to obtain the target lattice structure solid model, wherein the shape of the target lattice structure solid model is the same as that of the STL model of the target object;
and performing additive manufacturing on the target object according to the target lattice structure solid model.
In a second aspect, the present application provides a device for generating a model of a lattice structure, comprising:
a receiving module for receiving a model generation instruction, the model generation instruction including a size of a target object;
the device comprises a first generation module, a second generation module and a third generation module, wherein the first generation module is used for generating a crystal lattice wire frame model of a target object according to the size of the target object, and the crystal lattice wire frame model comprises a plurality of nodes and a plurality of edges connected with each node;
the second generation module is used for respectively establishing a circular contour by taking each edge connected with each node as a normal vector according to each node in the lattice wire frame model; generating a convex cell grid of the node at the node by adopting a point set triangulation mode according to each circle contour correspondingly established by the node;
and the third generation module is used for generating a rod-surrounded grid of the edge by adopting a point set triangulation mode according to two circle profiles correspondingly established by the edge aiming at each edge in the lattice wire frame model so as to obtain a lattice structure solid model of the target object, and the lattice structure solid model is used for additive manufacturing of the target object.
Optionally, the second generating module is further configured to:
determining a target distance according to the cross section size of the rod in the lattice structure solid model and the minimum angle between the rod and each side connected with the node; and according to the nodes, taking each edge connected with the nodes as a normal vector, and respectively establishing circular outlines at positions away from the target distance of the nodes.
Optionally, the second generating module is specifically configured to:
using a formula
Determining a target distance;
wherein D is p Is the compensation distance, R, of the relative node of the circular contour rod Is the cross-sectional dimension of the rods in the solid model of the lattice structure, theta is the minimum angle between the nodes connecting the sides, and C is a scaling factor greater than 1.
Optionally, the second generating module is further configured to:
determining the target number according to the precision of the grids in the lattice structure solid model; equally spacing target number of points on each circular contour corresponding to the nodes; and generating a convex cell grid of the nodes by adopting a point set triangulation mode according to the number of the target points on each circular contour.
Optionally, the second generating module is further configured to:
and respectively sectioning the convex cell grids of the nodes and the triangular grids of the superposed parts of the circular outlines by using planes superposed with the circular outlines to obtain the sectioned convex cell grids of the nodes.
Optionally, the first generating module is specifically configured to:
determining the number of nodes of the lattice wire frame model on 3 orthogonal direction vectors in a Cartesian coordinate system according to the size of the target object and the size of the lattice;
determining the coordinates of each node on each orthogonal direction vector according to the number of the nodes of the lattice wire frame model on each orthogonal direction vector in a Cartesian coordinate system;
and generating a lattice wire frame model of the target object according to the coordinates of each node on each orthogonal direction vector.
Optionally, the third generating module is further configured to:
obtaining an STL model of a target object;
cutting the lattice structure solid model of the target object according to the STL model of the target object by using a ray and triangle intersection algorithm to obtain a target lattice structure solid model, wherein the shape of the target lattice structure solid model is the same as that of the STL model of the target object;
and performing additive manufacturing on the target object according to the target lattice structure solid model.
In a third aspect, the present application provides a model generation apparatus for a lattice structure, including: a memory and a processor;
the memory is used for storing program instructions;
the processor is for invoking program instructions in the memory to perform a model generation method of a lattice structure as in the first aspect of the present application.
In a fourth aspect, the present application provides a computer readable storage medium having stored thereon computer program instructions which, when executed, implement a method of model generation of a lattice structure as in the first aspect of the present application.
According to the method and the device for generating the model of the lattice structure, the model generation instruction comprises the size of a target object, the lattice wire frame model of the target object is generated according to the size of the target object, the lattice wire frame model comprises a plurality of nodes and a plurality of edges connected with the nodes, for each node in the lattice wire frame model, each edge connected with the node is used as a normal vector according to the node, circular contours are respectively established, according to each circular contour established correspondingly by the node, a point set triangulation mode is adopted, a convex cell grid of the node is generated at the node, for each edge in the lattice wire frame model, according to two circular contours established correspondingly by the edge, a point set triangulation mode is adopted, a rod of the edge is generated to surround the grid at the edge, so that the lattice structure entity model of the target object is obtained, and the lattice structure entity model is used for additive manufacturing of the target object.
Drawings
In order to more clearly illustrate the embodiments of the present application or the technical solutions in the prior art, the drawings 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 some embodiments of the present application, and those skilled in the art can obtain other drawings without inventive labor.
Fig. 1 is a flow chart of a method for generating a model of a lattice structure according to an embodiment of the present application;
FIG. 2 is a diagram of a lattice wire frame model provided in an embodiment of the present application;
FIG. 3 is a schematic diagram of a node grid according to an embodiment of the present application;
FIG. 4 is a schematic illustration of a rod-enclosed grid provided in accordance with an embodiment of the present application;
FIG. 5 is a schematic diagram of a physical model of a lattice structure provided in accordance with an embodiment of the present application;
FIG. 6 is a schematic diagram of a solid model of a lattice structure of a rabbit according to an embodiment of the present disclosure;
FIG. 7 is a flow chart of a method of model generation of a lattice structure according to another embodiment of the present application;
FIG. 8 is a schematic diagram of a circle profile set-up provided by an embodiment of the present application;
fig. 9 is a cut-away schematic view of a closed triangular mesh of nodes provided in an embodiment of the present application;
FIG. 10 (a) is a schematic diagram of a solid model of a lattice structure with a circular cross-section according to an embodiment of the present application;
FIG. 10 (b) is a schematic diagram of a solid model of a lattice structure with a hexagonal cross-section according to an embodiment of the present application;
FIG. 10 (c) is a schematic diagram of a lattice structure solid model with a square cross-section according to an embodiment of the present application;
fig. 11 is a schematic structural diagram of a model generation apparatus for a lattice structure according to an embodiment of the present application;
fig. 12 is a schematic structural diagram of a model generation apparatus for a lattice structure according to another embodiment of the present application;
fig. 13 is a schematic structural diagram of a model generation apparatus for a lattice structure according to another embodiment of the present application.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present application clearer, the technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the drawings in the embodiments of the present application, and it is obvious that the described embodiments are some embodiments of the present application, but not all embodiments. All other embodiments obtained by a person of ordinary skill in the art based on the embodiments in the present application without making any creative effort belong to the protection scope of the present application.
The additive manufacturing based on the lattice structure is to fill the inside of a part by using the lattice structure to realize the manufacturing of a light-weight part. At present, a lattice structure solid model is constructed by using CAD software or a geometric modeling kernel according to the size of a part, a corresponding STL model is generated according to the lattice structure solid model, and additive manufacturing is performed according to the generated STL model. Since the lattice structure solid model is formed by stacking lattices, and rods connected to each other in the lattices overlap at nodes of the lattices, boolean operations are required to be performed on the overlapping portions between the rods to remove the overlapping portions. However, the boolean operation process is complex, occupies more processing resources, and results in a low efficiency of generating lattice structure solid models.
Therefore, the present application provides a method and an apparatus for generating a model of a lattice structure, where the method includes receiving a model generation instruction, where the model generation instruction includes a size of a target object, generating a lattice wire-frame model of the target object according to the size of the target object, setting each edge connected to a node as a normal vector for each node in the lattice wire-frame model, respectively establishing a circular contour, generating a convex cell mesh of the node at the node according to each circular contour established corresponding to the node by using a point set triangulation method, and generating a rod-surrounded mesh of the edge according to two circular contours established corresponding to the edge for each edge in the lattice wire-frame model by using a point set triangulation method, so as to obtain a lattice structure entity model of the target object, where the lattice structure entity model is used for additive manufacturing of the target object. By the mode, the efficiency of generating the lattice structure solid model can be improved, the generation process of the lattice structure solid model is simplified, processing resources are saved, and the additive manufacturing efficiency based on the lattice structure solid model is improved.
Fig. 1 is a flowchart of a method for generating a model of a lattice structure according to an embodiment of the present disclosure, where the method of this embodiment may be applied to an electronic device, such as a terminal device, a server, and the like, and the terminal device may be a mobile phone, a tablet computer, a notebook computer, a desktop computer, and the like. As shown in fig. 1, the method of the present embodiment includes:
s101, receiving a model generation instruction, wherein the model generation instruction comprises the size of the target object.
In this embodiment, the model generation instruction may be input by a user to the electronic device executing the embodiment of the method, or may be sent by another device to the electronic device executing the embodiment of the method. The model generation instructions include the size of the target object, which may be represented by, for example, length, width, and height, respectively.
And S102, generating a lattice wire frame model of the target object according to the size of the target object, wherein the lattice wire frame model comprises a plurality of nodes and a plurality of edges connected with each node.
In this embodiment, the size of the target object has been determined, and therefore, according to the size of the target object, a lattice wire frame model of the target object is generated, the lattice wire frame model including a plurality of nodes and a plurality of edges connected to each node, the size of the lattice wire frame model being larger than the size of the target object.
Optionally, determining the number of nodes of the lattice wire frame model in 3 orthogonal direction vectors in a cartesian coordinate system according to the size of the target object and the size of the lattice; determining the coordinates of each node on each orthogonal direction vector according to the number of the nodes of the lattice wire frame model on each orthogonal direction vector in a Cartesian coordinate system; and generating a lattice wire frame model of the target object according to the coordinates of each node on each orthogonal direction vector.
In this embodiment, the size of the target object and the size of the lattice, for example, the side length of the lattice is 5mm, have been determined. Therefore, the number of nodes of the lattice wire frame model on 3 orthogonal direction vectors in the cartesian coordinate system is determined according to the size of the target object and the size of the lattice. In particular, a single crystal lattice is represented by a lattice unit, the vertices of which are the nodes of the lattice unit, defining the topological positions V of the vertices of the lattice unit 0 And 3 orthogonal direction vectors of lattice unit vertex in Cartesian coordinate system
Maximum number of vertices U, V, W:
For example: defining 3 orthogonal directional vectors of a lattice wire-frame model in a Cartesian coordinate system
The maximum number of vertices above is U =3, V =3, W =3, respectively.
And determining the coordinates of each node on each orthogonal direction vector according to the lattice size and the number of nodes on each orthogonal direction vector of the lattice wire frame model in a Cartesian coordinate system. Specifically, a lattice cell vertex coordinate matrix is defined:
wherein the vector
Respectively represent vectors
The coordinates of each vertex in the direction are as follows:
MAX { U, V, W } represents the maximum number of rows, the maximum number of columns of the matrix.
And according to the coordinates of each node on each orthogonal direction vector, quickly splicing each lattice unit by calculating the coordinate matrix of the vertex of each lattice unit to construct a lattice wire frame model. Fig. 2 is a schematic diagram of a lattice wire frame model according to an embodiment of the present application, and as shown in fig. 2, the lattice wire frame model includes a plurality of nodes and a plurality of edges connected to each node. Specifically, the calculation of the lattice unit vertex coordinate matrix is the increase and decrease of the lattice wire frame model, for example, if one vertex of one lattice unit is (3,3,3), and one lattice unit is added on the lattice unit on which the vertex is located, the coordinates of the newly added lattice unit on three direction vectors corresponding to the vertex of the vertex are (3,3,6). And calculating the vertex coordinate matrix of the lattice unit to quickly splice the lattice units to construct a lattice wire frame model.
S103, aiming at each node in the lattice wire frame model, respectively establishing a circular contour by taking each edge connected with the node as a normal vector according to the node; and generating the convex cell grids of the nodes at the nodes by adopting a point set triangulation mode according to each circle contour correspondingly established by the nodes.
In this embodiment, the position of each node and the positions of a plurality of edges connected to each node in the lattice wire frame model have been determined, and therefore, the circular contour is created using each edge connected to a node as a normal vector according to the node. Specifically, the normal vector is a vector perpendicular to a normal plane (a plane perpendicular to an axis on which each edge connected to a node is taken). After the circle outlines corresponding to the nodes are built, a point set triangulation mode is adopted, and convex hull grids of the nodes are generated at the nodes. Specifically, the convex hull mesh of the node is a closed triangular mesh, and the point set triangulation manner is to form a triangular patch through a connecting line between points. Correspondingly, a closed triangular mesh can be generated at the node by adopting a point set triangulation mode. Fig. 3 is a schematic diagram of a node convex cell grid according to an embodiment of the present disclosure, as shown in fig. 3, including a plurality of nodes, where a node convex cell grid is generated at each node.
And S104, generating rod surrounding grids of the edges by adopting a point set triangulation mode according to two circle profiles correspondingly established by the edges aiming at each edge in the lattice wire frame model so as to obtain a lattice structure solid model of the target object, wherein the lattice structure solid model is used for additive manufacturing of the target object.
In this embodiment, it has been determined that each edge in the lattice wire-frame model has two circular contours established according to the edge correspondence, and therefore, a point set triangulation manner is employed to generate a rod-surrounded mesh of the edge at each edge. Specifically, two adjacent circular contours on each edge of the lattice structure wire frame model form a pair, and a point set triangulation mode is adopted to construct a rod to surround the grid. Fig. 4 is a schematic diagram of a rod-enclosed mesh provided in an embodiment of the present application, as shown in fig. 4, a convex cell mesh with nodes at two ends and a rod-enclosed mesh in the middle.
After the rod-surrounded grid construction is completed, a lattice structure solid model of the target object is obtained. Fig. 5 is a schematic diagram of a lattice structure solid model provided in an embodiment of the present application, as shown in fig. 5, in the lattice structure solid model, at one of nodes, there are included: 3 circular outlines, 1 node convex hull grid and 3 rod surrounding grids. The solid model of the lattice structure of the target object obtained in this way does not require the use of boolean operations because all the meshes are stacked directly together. Based on the lattice structure solid model, additive manufacturing of the target object may be performed.
Optionally, after obtaining the lattice structure entity model of the target object, obtaining an STL model of the target object; cutting the lattice structure solid model of the target object according to the STL model of the target object by using a ray and triangle intersection algorithm to obtain a target lattice structure solid model, wherein the shape of the target lattice structure solid model is the same as that of the STL model of the target object; and performing additive manufacturing on the target object according to the target lattice structure solid model.
In this embodiment, a lattice structure entity model of the target object is obtained, so that an STL model of the target object is obtained, then, according to the input STL model of the target object, a lattice structure entity model of the target object is clipped by using a ray and triangle intersection algorithm (i.e., intersection of a ray and a triangle patch in space), that is, a portion where the STL model of the target object and the lattice structure entity model of the target object coincide with each other is retained, and other portions are removed to obtain the target lattice structure entity model. The shape of the solid model of the target lattice structure is the same as the shape of the STL model of the target object. For example: fig. 6 is a schematic diagram of a solid model of a rabbit lattice structure according to an embodiment of the present disclosure, where, as shown in fig. 6, the left side shows an input STL model of the rabbit, and the right side shows a solid model of the rabbit lattice structure obtained by clipping according to the STL model of the rabbit. After the target lattice structure solid model is obtained, additive manufacturing of the target object can be performed according to the target lattice structure solid model.
The STL model of the target object may be input by a user into an electronic device executing the embodiment of the method, or may be transmitted by another device to the electronic device executing the embodiment of the method.
According to the model generation method of the lattice structure, a model generation instruction is received, the model generation instruction comprises the size of a target object, a lattice wire frame model of the target object is generated according to the size of the target object, the lattice wire frame model comprises a plurality of nodes and a plurality of edges connected with the nodes, and for each node in the lattice wire frame model, each edge connected with the node is used as a normal vector according to the node, and a circular outline is respectively established; according to the method, the efficiency of generating the lattice structure entity model can be improved, the generation process of the lattice structure entity model is simplified, processing resources are saved, and further the efficiency of additive manufacturing based on the lattice structure entity model is improved.
Based on the embodiment shown in fig. 1, in some embodiments, fig. 7 is a flowchart of a method for generating a model of a lattice structure according to another embodiment of the present application, and as shown in fig. 7, the method of this embodiment may include:
s701, receiving a model generation instruction, wherein the model generation instruction comprises the size of the target object.
S702, generating a lattice wire frame model of the target object according to the size of the target object, wherein the lattice wire frame model comprises a plurality of nodes and a plurality of edges connected with each node.
In this embodiment, the specific implementation processes of S701 and S702 may refer to the related description of the embodiment shown in fig. 1, and are not described herein again.
And S703, determining a target distance according to the cross section size of the rod in the lattice structure solid model and the minimum angle between the rod and each side connected with the node.
In this embodiment, the cross-sectional dimensions of the rods in the solid model of the lattice structure, the minimum angle between the sides connecting to the nodes, have been determined, and therefore, the target distance of the circular contour with respect to the nodes when the circular contour is established on each side connecting to the nodes is determined. The calculation of the target distance of the circular profile is a critical step, requiring that all the rods that meet the circular profile do not overlap each other.
Optionally, determining a target distance according to the cross-sectional dimension of the rod in the lattice structure solid model and the minimum angle between the connecting edges of the rod and the node, including:
using a formula
Determining a target distance;
wherein D is p Is the target distance, R, of the circle profile relative to the node rod Is the cross-sectional dimension of the rods in the solid model of the lattice structure, theta is the minimum angle between the nodal connection edges, and C is a scaling factor greater than 1.
Fig. 8 is a schematic diagram of building a circle contour according to an embodiment of the present application, where as shown in fig. 8, 3 edges are connected to one node, and a target distance of the circle contour with respect to the node is D p The cross-sectional dimension of the rods in the solid model of the lattice structure on each side is R rod The angle between the sides connecting the nodes has theta 1 、θ 2 、θ 3 And determining the minimum angle theta between the sides connected by the nodes according to the three angles. For example: in a normal cubic lattice, the sides are perpendicular, i.e., the minimum angle θ is 90 degrees, and in the case of a face-centered cubic lattice, the minimum angle θ is 45 degrees. C is a scaling factor greater than 1, e.g., 1.1, C is very close to 1, otherwise the circle contours on the edges connected to the nodes are too far away from the nodes, and the space enclosed by the circle contours together is too large, resulting in too large node grids. For example: definition C =1.12,r r o d =0.5mm, knowing θ =90 °, then D p ＝0.55mm。
And S704, according to the nodes, taking each edge connected with the nodes as a normal vector, and respectively establishing circular outlines at positions away from the target distance of the nodes.
In this embodiment, the positions of the nodes, the positions of each edge connected to the nodes, and the target distances of the circular contours with respect to the nodes have been determined, and therefore, the positions at which the target distances from the nodes are found are respectivelyA vertical round profile. For example: definition C =1.12,r r o d =0.5mm, knowing θ =90 °, then D p =0.55mm, for each node, a circular profile with a radius of 0.5mm is established at a distance of 0.55mm from the node with each edge connected to the node as a normal vector. As shown in FIG. 8, the distance to node D is 3 edges connected to the node p A circular profile is established respectively.
S705, determining the target quantity according to the precision of the grids in the solid model of the lattice structure.
In the present embodiment, the mesh accuracy indicates that the greater the number of meshes to be divided, the higher the accuracy, which is at least equal to or greater than 3 (since a polygon has at least three sides) in relation to the number of sample points to be set on the circular contour. And determining the number of sampling points arranged on each circular profile corresponding to the nodes according to the accuracy of the grids in the determined lattice structure solid model. For example: the number of sampling points set on each circular profile corresponding to the node in fig. 8 is 6.
And S706, equally spacing and taking a target number of points on each circular contour corresponding to the nodes.
In this embodiment, the target number of sampling points on each circular contour corresponding to a node has been determined, and therefore, the target number of points are taken at equal intervals on each circular contour corresponding to a node, and these sampling points are shared by the node and a plurality of edges connected to each node and are used to construct their triangular meshes. For example: in fig. 8, 6 points are sampled at equal intervals on each circular contour corresponding to the node.
And S707, generating the convex cell grids of the nodes by adopting a point set triangulation mode according to the number of the target points on each circle contour.
In this embodiment, the target number of points have been taken at equal intervals on each circular contour corresponding to the node, and therefore, a point set triangulation manner is adopted to generate a convex cell mesh of the node, that is, a closed triangular mesh is generated at the node.
And S708, sectioning the convex cell grids of the nodes and the triangular grids of the superposed parts of the circular outlines respectively by using planes superposed with the circular outlines to obtain the sectioned convex cell grids of the nodes.
In this embodiment, a closed triangular mesh has been generated at a node, and therefore, the triangular mesh at the portion where the convex cell mesh of the node and each circular contour overlap is cut by a plane that coincides with each circular contour, respectively, to obtain the convex cell mesh of the node after cutting. Fig. 9 is a schematic view of a cut-away of a closed triangular mesh of a node according to an embodiment of the present application, where as shown in fig. 9, the closed triangular mesh including the node is schematic view before, during, and after the cut-away, a plane coinciding with a circle contour is used to cut a triangular mesh of a portion where a convex cell mesh of the node coincides with each circle contour, and no triangular mesh exists at a portion where the convex cell mesh of the node coincides with each circle contour after the cut-away.
And S709, aiming at each edge in the lattice wire frame model, generating a rod surrounding grid of the edge on the edge by adopting a point set triangulation mode according to two circular outlines correspondingly established by the edge so as to obtain a lattice structure solid model of the target object, wherein the lattice structure solid model is used for additive manufacturing of the target object.
In this embodiment, a specific implementation process of S709 may refer to the related description of the embodiment shown in fig. 1, and is not described herein again.
On the basis of the above embodiment, the cross-sectional shape of the solid model of the lattice structure can be changed by changing the number of sampling points of the circular profile. Fig. 10 (a) is a schematic diagram of a lattice structure solid model with a circular cross section according to an embodiment of the present application, which is shown in fig. 10 (a), and shows a circular cross section, which shows that there are many sampling points of the circular profile, so that the cross-sectional shape is similar to a circle. Fig. 10 (b) is a schematic diagram of a solid model of a lattice structure with a hexagonal cross section according to an embodiment of the present application, and as shown in fig. 10 (b), the hexagonal cross section is shown, indicating that 6 sampling points are provided for a circular profile. Fig. 10 (c) is a schematic diagram of a lattice structure solid model with a square cross section according to an embodiment of the present application, and as shown in fig. 10 (c), the square cross section is shown, indicating that the number of sampling points of the circular profile is 4.
By the model generation method of the lattice structure, when the same solid model of the lattice structure is generated, for example, the method provided by the application takes 2.7 seconds, and the time taken by the other two mainstream software is 126 seconds and 600 seconds respectively. Therefore, the model generation method of the lattice structure can greatly improve the efficiency of generating the solid model of the lattice structure.
The method for generating the model of the lattice structure comprises the steps of receiving a model generation instruction, wherein the model generation instruction comprises the size of a target object, generating a lattice wire frame model of the target object according to the size of the target object, the lattice wire frame model comprises a plurality of nodes and a plurality of edges connected with the nodes, determining a target distance according to the cross section size of rods in the lattice structure solid model and the minimum angle between the edges connected with the nodes, determining a target number according to the nodes and taking the number of points on each circular contour at equal intervals according to the nodes, generating a convex cell grid of the nodes by adopting a point subdivision triangulation method according to the number of points on each circular contour, generating the triangular grid of the nodes by using a plane superposed with each circular contour and a triangular grid of the part of the node superposed with each circular contour, obtaining the sectioned convex cell grid of the nodes, generating the lattice wire frame model according to each edge in the lattice wire frame model, generating the lattice wire frame model by adopting a point subdivision method based on which two sectioned convex cell grids of the nodes are respectively superposed with each circular contour, and further improving the efficiency of the lattice material generation of the lattice wire frame model, and the lattice material generation method is used for improving the efficiency of the lattice material generation.
Fig. 11 is a schematic structural diagram of a model generation apparatus for a lattice structure according to an embodiment of the present application, and as shown in fig. 11, the model generation apparatus 1100 for a lattice structure according to the present embodiment includes: the device comprises a receiving module 1101, a first generating module 1102, a second generating module 1103 and a third generating module 1104.
A receiving module 1101, configured to receive a model generation instruction, where the model generation instruction includes a size of the target object.
A first generating module 1102 is configured to generate a lattice wire frame model of the target object according to a size of the target object, where the lattice wire frame model includes a plurality of nodes and a plurality of edges connected to each node.
A second generating module 1103, configured to respectively establish, for each node in the lattice wire-frame model, a circular contour by using each edge connected to the node as a normal vector according to the node; and generating the convex cell grids of the nodes at the nodes by adopting a point set triangulation mode according to each circle contour correspondingly established by the nodes.
And a third generating module 1104, configured to generate a rod-surrounded grid of the edge at each edge in the lattice wire-frame model by using a point set triangulation manner according to two circle profiles correspondingly established by the edge, so as to obtain a lattice structure solid model of the target object, where the lattice structure solid model is used for additive manufacturing of the target object.
On the basis of any one of the illustrated embodiments, the second generating module 1103 is further configured to:
determining a target distance according to the cross section size of the rod in the lattice structure solid model and the minimum angle between the rod and each side connected with the node; and according to the nodes, taking each edge connected with the nodes as a normal vector, and respectively establishing circular outlines at positions away from the target distance of the nodes.
On the basis of any one of the above illustrated embodiments, the second generating module 1103 is specifically configured to:
using the formula
Determining a target distance;
wherein D is p Is the compensation distance, R, of the relative node of the circular contour rod Is the cross-sectional dimension of the rods in the solid model of the lattice structure, theta is the minimum angle between the nodes connecting the sides, and C is a scaling factor greater than 1.
On the basis of any one of the foregoing illustrated embodiments, the second generating module 1103 is further configured to:
determining the target number according to the precision of grids in the solid model of the lattice structure; equally spacing target number of points on each circular contour corresponding to the nodes; and generating a convex cell grid of the nodes by adopting a point set triangulation mode according to the number of the target points on each circular contour.
On the basis of any one of the illustrated embodiments, the second generating module 1103 is further configured to:
and respectively sectioning the convex cell grids of the nodes and the triangular grids of the superposed parts of the circular outlines by using planes superposed with the circular outlines to obtain the sectioned convex cell grids of the nodes.
On the basis of any of the above illustrated embodiments, the first generating module 1102 is specifically configured to:
determining the number of nodes of the lattice wire frame model on 3 orthogonal direction vectors in a Cartesian coordinate system according to the size of the target object and the size of the lattice; determining the coordinates of each node on each orthogonal direction vector according to the number of the nodes of the lattice wire frame model on each orthogonal direction vector in a Cartesian coordinate system; and generating a lattice wire frame model of the target object according to the coordinates of each node on each orthogonal direction vector.
On the basis of any of the above-described embodiments, the third generating module 1104 is further configured to:
acquiring an STL model of a target object; cutting the lattice structure solid model of the target object according to the STL model of the target object by using a ray and triangle intersection algorithm to obtain the target lattice structure solid model, wherein the shape of the target lattice structure solid model is the same as that of the STL model of the target object; and performing additive manufacturing on the target object according to the target lattice structure solid model.
The apparatus of this embodiment may be configured to implement the technical solution of any one of the above-mentioned method embodiments, and the implementation principle and the technical effect are similar, which are not described herein again.
Fig. 12 is a schematic structural diagram of a model generating apparatus of a lattice structure according to another embodiment of the present application, and as shown in fig. 12, the model generating apparatus 1200 of a lattice structure according to this embodiment includes: a memory 1201 and a processor 1202. The memory 1201 and the processor 1202 are connected by a bus.
The memory 1201 is used to store program instructions.
The processor 1202 is configured to invoke the execution of program instructions in memory:
model generation instructions are received, the model generation instructions including a size of the target object. A lattice wire frame model of the target object is generated based on the size of the target object, the lattice wire frame model including a plurality of nodes and a plurality of edges connected to each node. Aiming at each node in the lattice wire frame model, respectively establishing a circular contour by taking each edge connected with the node as a normal vector according to the node; and generating the convex cell grids of the nodes at the nodes by adopting a point set triangulation mode according to each circle contour correspondingly established by the nodes. Aiming at each edge in the lattice wire frame model, generating a rod surrounding grid of the edge by adopting a point set triangulation mode according to two circle profiles correspondingly established by the edge so as to obtain a lattice structure solid model of the target object, wherein the lattice structure solid model is used for additive manufacturing of the target object.
On the basis of any of the illustrated embodiments, the processor 1202 is further configured to:
determining a target distance according to the cross section size of the rod in the lattice structure solid model and the minimum angle between the rod and each side connected with the node; and according to the nodes, taking each edge connected with the nodes as a normal vector, and respectively establishing circular outlines at positions away from the target distance of the nodes.
On the basis of any of the above-described embodiments, the processor 1202 is specifically configured to:
using a formula
Determining a target distance;
wherein D is p Is the compensation distance, R, of the relative node of the circular contour rod Is the cross-sectional dimension of the rods in the solid model of the lattice structure, theta is the minimum angle between the nodal connection edges, and C is a scaling factor greater than 1.
On the basis of any of the above-described embodiments, the processor 1202 is further configured to:
determining the target number according to the precision of the grids in the lattice structure solid model; equally spacing target number of points on each circular contour corresponding to the nodes; and generating a convex cell grid of the nodes by adopting a point set triangulation mode according to the number of the target points on each circular contour.
On the basis of any of the illustrated embodiments, the processor 1202 is further configured to:
and respectively sectioning the convex cell grids of the nodes and the triangular grids of the superposed parts of the circular outlines by using planes superposed with the circular outlines to obtain the sectioned convex cell grids of the nodes.
On the basis of any of the above-described embodiments, the processor 1202 is specifically configured to:
determining the number of nodes of the lattice wire frame model on 3 orthogonal direction vectors in a Cartesian coordinate system according to the size of the target object and the size of the lattice; determining the coordinates of each node on each orthogonal direction vector according to the number of nodes of the lattice wire frame model on each orthogonal direction vector in a Cartesian coordinate system; and generating a lattice wire frame model of the target object according to the coordinates of each node on each orthogonal direction vector.
On the basis of any of the illustrated embodiments, the processor 1202 is further configured to:
acquiring an STL model of a target object; cutting the lattice structure solid model of the target object according to the STL model of the target object by using a ray and triangle intersection algorithm to obtain a target lattice structure solid model, wherein the shape of the target lattice structure solid model is the same as that of the STL model of the target object; and performing additive manufacturing on the target object according to the target lattice structure solid model.
The apparatus of this embodiment may be configured to implement the technical solution of any one of the above-mentioned method embodiments, and the implementation principle and the technical effect are similar, which are not described herein again.
Fig. 13 is a schematic structural diagram of a model generator of a lattice structure according to another embodiment of the present disclosure, and as shown in fig. 13, for example, the model generator 1300 of a lattice structure may be provided as a server or a computer. Referring to fig. 13, apparatus 1300 includes a processing component 1301 that further includes one or more processors, and memory resources, represented by memory 1302, for storing instructions, such as application programs, that are executable by processing component 1301. The application programs stored in memory 1302 may include one or more modules that each correspond to a set of instructions. Further, the processing component 1301 is configured to execute instructions to perform any of the method embodiments described above.
The apparatus 1300 may also include a power component 1303 configured to perform power management of the apparatus 1300, a wired or wireless network interface 1304 configured to connect the apparatus 1300 to a network, and an input/output (I/O) interface 1305. The apparatus 1300 may operate based on an operating system stored in the memory 1302, such as Windows Server, mac OS XTM, unixTM, linuxTM, freeBSDTM, or the like.
The present application further provides a computer-readable storage medium, in which computer-executable instructions are stored, and when the computer-executable instructions are executed by a processor, the method for generating a model of a lattice structure as above is implemented.
The computer-readable storage medium may be implemented by any type of volatile or non-volatile storage device or combination thereof, such as Static Random Access Memory (SRAM), electrically erasable programmable read-only memory (EEPROM), erasable programmable read-only memory (EPROM), programmable read-only memory (PROM), read-only memory (ROM), magnetic memory, flash memory, magnetic or optical disk. Readable storage media can be any available media that can be accessed by a general purpose or special purpose computer.
An exemplary readable storage medium is coupled to the processor such the processor can read information from, and write information to, the readable storage medium. Of course, the readable storage medium may also be an integral part of the processor. The processor and the readable storage medium may reside in an Application Specific Integrated Circuits (ASIC). Of course, the processor and readable storage medium may also reside as discrete components in a model generation apparatus for a lattice structure.
Those of ordinary skill in the art will understand that: all or a portion of the steps of implementing the above-described method embodiments may be performed by hardware associated with program instructions. The program may be stored in a computer-readable storage medium. When executed, the program performs steps comprising the method embodiments described above; and the aforementioned storage medium includes: various media that can store program codes, such as ROM, RAM, magnetic or optical disks.
Finally, it should be noted that: the above embodiments are only used for illustrating the technical solutions of the present application, and not for limiting the same; although the present application has been described in detail with reference to the foregoing embodiments, it should 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 or all of the technical features may be equivalently replaced; and the modifications or the substitutions do not make the essence of the corresponding technical solutions depart from the scope of the technical solutions of the embodiments of the present application.
Claims (8)
1. A method of generating a model of a lattice structure, comprising:
receiving a model generation instruction, the model generation instruction including a size of a target object;
generating a lattice wire frame model of the target object according to the size of the target object, wherein the lattice wire frame model comprises a plurality of nodes and a plurality of edges connected with each node;
aiming at each node in the lattice wire frame model, respectively establishing a circular contour by taking each edge connected with the node as a normal vector according to the node; generating a convex cell grid of the node at the node by adopting a point set triangulation mode according to each circle contour established corresponding to the node;
generating rod surrounding grids of each edge on the lattice wire frame model by adopting a point set triangulation manner according to two circular contours correspondingly established by the edge aiming at each edge in the lattice wire frame model so as to obtain a lattice structure solid model of the target object, wherein the lattice structure solid model is used for additive manufacturing of the target object;
before each edge connected with the node is taken as a normal vector according to the node and a circular contour is respectively established, the method further comprises the following steps:
determining a target distance according to the cross section size of the rod in the lattice structure solid model and the minimum angle between the rod and each side connected with the node;
and respectively establishing circular outlines by taking each edge connected with the nodes as normal vectors according to the nodes, wherein the circular outlines comprise:
according to the nodes, each edge connected with the nodes is used as a normal vector, and circular contours are respectively established at positions away from the target distance of the nodes;
determining a target distance according to the cross section size of the rod in the lattice structure solid model and the minimum angle between the rod and each side connected with the node, wherein the determining step comprises the following steps of:
using a formula
Determining the target distance;
wherein D is p Is the target distance, R, of the circle profile relative to the node rod Is the cross-sectional dimension of the rods in the solid model of the lattice structure, θ is the minimum angle between the sides at which the nodes connect, and C is a scaling factor greater than 1.
2. The method according to claim 1, wherein before generating the convex cell mesh of the node by using a point set triangulation method according to each circle contour correspondingly established by the node, the method further comprises:
determining the target number according to the precision of the grids in the lattice structure solid model;
generating the convex cell grids of the nodes by adopting a point set triangulation mode according to each circle contour correspondingly established by the nodes, and the method comprises the following steps:
equally spacing a target number of points on each circular contour corresponding to the node;
and generating the convex cell grids of the nodes by adopting a point set triangulation mode according to the number of the target points on each circular contour.
3. The method according to claim 1, wherein after the nodes generate the convex cell grids of the nodes by using a point set triangulation method according to each circle contour established corresponding to the nodes, the method further comprises:
and respectively sectioning the convex cell grids of the nodes and the triangular grids of the superposed parts of the circular outlines by using planes superposed with the circular outlines to obtain the sectioned convex cell grids of the nodes.
4. The method of claim 1, wherein generating a lattice wire frame model of the target object based on the size of the target object comprises:
determining the number of nodes of the lattice wire frame model on 3 orthogonal direction vectors in a Cartesian coordinate system according to the size of the target object and the size of the lattice;
determining the coordinates of each node on each orthogonal direction vector according to the number of the nodes of the lattice wire frame model on each orthogonal direction vector in a Cartesian coordinate system;
and generating a lattice wire frame model of the target object according to the coordinates of each node on each orthogonal direction vector.
5. The method of claim 1, wherein after obtaining the solid model of the lattice structure of the target object, further comprising:
acquiring a Standard Template Library (STL) model of the target object;
cutting the lattice structure solid model of the target object according to the STL model of the target object by using a ray and triangle intersection algorithm to obtain a target lattice structure solid model, wherein the shape of the target lattice structure solid model is the same as that of the STL model of the target object;
performing additive manufacturing of the target object according to the target lattice structure solid model.
6. A model generation apparatus for a lattice structure, comprising:
a receiving module for receiving a model generation instruction, the model generation instruction including a size of a target object;
a first generation module for generating a lattice wire frame model of the target object according to a size of the target object, the lattice wire frame model including a plurality of nodes and a plurality of edges connected to each node;
a second generation module, configured to, for each node in the lattice wire frame model, respectively establish a circular contour by using each edge connected to the node as a normal vector according to the node; generating a convex cell grid of the node at the node by adopting a point set triangulation mode according to each circle contour established corresponding to the node;
a third generation module, configured to generate, for each edge in the lattice wire frame model, a rod-surrounded grid of the edge in a point set triangulation manner according to two circle profiles correspondingly established by the edge, so as to obtain a lattice structure solid model of the target object, where the lattice structure solid model is used for additive manufacturing of the target object;
the second generation module determines a target distance according to the cross section size of the rod in the lattice structure solid model and the minimum angle between the rod and each side connected with the node; according to the nodes, each edge connected with the nodes is used as a normal vector, and circular outlines are respectively established at positions away from the target distance of the nodes;
the second generation module is further used for adopting a formula
Determining the target distance; wherein D is p Is the target distance, R, of the circle profile relative to the node rod Is the cross-sectional dimension of the rods in the solid model of the lattice structure, θ is the minimum angle between the sides at which the nodes connect, and C is a scaling factor greater than 1.
7. A model generation apparatus for a lattice structure, comprising: a memory and a processor;
the memory is to store program instructions;
the processor is configured to invoke program instructions in the memory to perform a model generation method of a lattice structure according to any one of claims 1 to 5.
8. A computer-readable storage medium having computer program instructions stored therein which, when executed, implement a method of model generation of a lattice structure according to any one of claims 1 to 5.
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Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107810525A (en) * | 2015-04-30 | 2018-03-16 | 内部科技有限责任公司 | Node mesh generation for trellis |
| CN108629833A (en) * | 2018-05-07 | 2018-10-09 | 四川省有色冶金研究院有限公司 | A kind of structural optimization method of 3D printing model |
| CN109872396A (en) * | 2019-01-29 | 2019-06-11 | 北京理工大学珠海学院 | A kind of quick cross section profile generation method suitable for triangle grid model |
-
2020
- 2020-10-22 CN CN202011138248.6A patent/CN112487674B/en active Active
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107810525A (en) * | 2015-04-30 | 2018-03-16 | 内部科技有限责任公司 | Node mesh generation for trellis |
| CN108629833A (en) * | 2018-05-07 | 2018-10-09 | 四川省有色冶金研究院有限公司 | A kind of structural optimization method of 3D printing model |
| CN109872396A (en) * | 2019-01-29 | 2019-06-11 | 北京理工大学珠海学院 | A kind of quick cross section profile generation method suitable for triangle grid model |
Non-Patent Citations (2)
| Title |
|---|
| 3D texture mapping for rapid manufacturing;CHEN Y;《computer-Aided Design & Applications》;20071231;第4卷(第6期);第761-771页 * |
| 改进的三维离散点集凸包求解算法;李日福等;《现代计算机》;20170715;第40-43页 * |
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