TWI501098B - Three-dimensional model adjustment system and method - Google Patents

Description

Product three-dimensional model automatic square system and method

The invention relates to a computer aided design system and method, in particular to a three-dimensional model automatic square system and method applied in the field of image measurement.

In the field of image measurement, offline programming refers to the use of off-line programming software and 3D models of products to write image measurement programs on a computer. An image measurement program written offline is used to control the image measuring machine to measure the product. The workpiece coordinate system of the product 3D model is the coordinate system used by the programmer to determine the starting point of the tool and the program when programming. It is to digitally inform the image measuring machine of the position of the measuring point on the product. In the image measurement program, the coordinate axes of the workpiece coordinate system and the mechanical coordinate system of the image measuring machine must be consistent, so that the image measuring machine can accurately determine the position of the measuring point on the product. However, the workpiece coordinate system of the three-dimensional model of the product introduced from the storage device may not coincide with the coordinate axis direction of the mechanical coordinate system. Therefore, in the pre-preparation process of off-line programming, the three-dimensional model of the product needs to be squared, that is, the three-dimensional model of the product is subjected to multiple spatial rotation and translation operations, so that the workpiece coordinate system of the product three-dimensional model and the coordinate axis of the mechanical coordinate system of the image measuring machine The direction is the same. At present, the squared operation of the product 3D model is performed manually and is error-prone.

In view of the above, it is necessary to provide a three-dimensional model automatic square system and square The method can automatically align the 3D model of the product.

A product three-dimensional model automatic square system for electronic devices. The system includes a triangular meshing module, a coordinate system determining module, and a transformation information computing module. The triangular meshing module reads the product 3D model from the storage device and triangulates the product 3D model. The coordinate system determination module determines the workpiece coordinate system of the product three-dimensional model based on the information in the two-dimensional size map of the product. The transformation information calculation module generates a homogeneous unit matrix A2 of the mechanical coordinate system according to the origin coordinate of the mechanical coordinate system and the vector in the X, Y, and Z axis directions, and calculates the workpiece according to the coordinates of the origin of the workpiece coordinate system in the mechanical coordinate system. The coordinate system is calculated relative to the translational homogeneous transformation matrix A1 of the mechanical coordinate system, and the inverse matrix of the translational homogeneous transformation matrix A1 is calculated, and the three-dimensional product is calculated according to the homogeneous matrix of the mechanical coordinate system A2 and the inverse matrix of the translational homogeneous transformation matrix A1. Rotating the homogeneous transformation matrix R of the model; and multiplying the vertex coordinates of the triangles on the meshed product 3D model by the rotation homogeneous transformation matrix R to obtain the vertices of the triangles in the mechanical coordinate system after the product 3D model is squared coordinate.

A product three-dimensional model automatic square method is applied to an electronic device. The method comprises: (A) a triangular meshing step: reading a product three-dimensional model from a storage device, and triangulating the product three-dimensional model; (B) a workpiece coordinate system determining step: reading the product from the storage device The two-dimensional size map determines the workpiece coordinate system of the product three-dimensional model according to the annotation information in the two-dimensional dimension drawing of the product; (C) the unit matrix generation step: according to the origin coordinate of the mechanical coordinate system and the X, Y, Z axis directions The vector generates a homogeneous unit matrix A2 of the mechanical coordinate system; (D) the first transformation matrix calculation step: calculating the translational homology of the workpiece coordinate system relative to the mechanical coordinate system according to the coordinates of the origin of the workpiece coordinate system in the mechanical coordinate system Transformation matrix A1; (E) second transformation matrix calculation step: calculating the inverse matrix of the translational homogeneous transformation matrix A1, and according to the homogeneous order of the mechanical coordinate system The inverse matrix of the bit matrix A2 and the translational homogeneous transformation matrix A1 calculates the rotational homogeneous transformation matrix R of the product three-dimensional model; and (F) the triangle vertex coordinates calculation step: the vertex coordinates of each triangle on the meshed product three-dimensional model Multiply by the rotation homogeneous transformation matrix R to obtain the coordinates of the vertices of the triangles in the mechanical coordinate system after the product three-dimensional model is squared.

Compared with the prior art, the three-dimensional model automatic square system and method of the product provided by the invention can automatically align the three-dimensional model of the product, and the speed is fast and the error easily caused by the manual operation is avoided.

100‧‧‧Electronic devices

10‧‧‧Product 3D model automatic alignment system

11‧‧‧Triangular grid module

12‧‧‧ coordinate system determination module

13‧‧‧Transformation Information Computing Module

14‧‧‧Graphic drawing module

20‧‧‧Storage equipment

30‧‧‧ Processor

40‧‧‧Display equipment

1 is a functional block diagram of a preferred embodiment of a three-dimensional model automatic square system of the product of the present invention.

2 is a flow chart of a preferred embodiment of a three-dimensional model automatic square method of the present invention.

Figure 3 is a partial schematic view of a two-dimensional dimensional view of the product.

Figure 4 is a schematic diagram of the workpiece coordinate system of the mechanical coordinate system and the product three-dimensional model.

Referring to FIG. 1, a functional module diagram of a preferred embodiment of the three-dimensional model automatic square system 10 of the present invention is shown. The product three-dimensional model automatic square system 10 is installed and operated on the electronic device 100. The electronic device 100 can also be connected to an image measuring machine (not shown) that performs image measurement on the product. The electronic device 100 includes a storage device 20, a processor 30, and a display device 40. The electronic device 100 can be a computer or any other device having data processing functions.

The storage device 20 is configured to store a three-dimensional model of the product, a two-dimensional size image of the product, and a computerized code of the product three-dimensional model automatic square system 10. The storage device 20 can be powered The memory built in the sub-device 100 may also be a storage device external to the electronic device 100.

The processor 30 executes the computerized code of the product three-dimensional model automatic square system 10, and establishes a workpiece coordinate system on the product three-dimensional model according to the two-dimensional size image of the product, and calculates a transformation matrix of the workpiece coordinate system and the mechanical coordinate system, according to the transformation matrix. Automatically align the product 3D model (ie, translation and rotation operations), so that the workpiece coordinate system on the product 3D model is consistent with the coordinate axis of the mechanical coordinate system.

The display device 40 is used to display a three-dimensional model of the product before and after the square, a two-dimensional size map of the product, a mechanical coordinate system, and a workpiece coordinate system.

The product three-dimensional model automatic square system 10 includes a triangular meshing module 11, a coordinate system determining module 12, a transformation information computing module 13, and a graphic drawing module 14.

The triangular meshing module 11 is configured to read a three-dimensional model of the product from the storage device 20 and triangulate the three-dimensional model of the product.

The graphic drawing module 14 is configured to draw a triangular three-dimensional product product three-dimensional model according to the three-dimensional coordinates of the triangular vertices on the three-dimensional model of the meshed product in the workpiece coordinate system.

The coordinate system determining module 12 is configured to determine a workpiece coordinate system of the three-dimensional model of the product based on the information in the two-dimensional size map of the product. The 2D dimension drawing of the product includes the labeling information of the product's dimensional basis. The product's dimensional basis is the point, line, and surface used to determine the size of the product during design, processing, measurement, and assembly.

For example, the coordinate system determining module 12 can select two mutually perpendicular reference lines from the two-dimensional size map of the product as the X and Y axes of the workpiece coordinate system, and the intersection of the two mutually perpendicular reference lines as the workpiece coordinate. The origin of the system is based on the plane where the two reference lines are located, and the normal vector of the reference plane is the Z axis of the workpiece coordinate system. Thereafter, the coordinate system determining module 12 determines the reference surface in the two-dimensional dimensional drawing of the product in the product The corresponding coordinate plane on the three-dimensional model establishes the workpiece coordinate system at a corresponding position on the three-dimensional model of the product. As shown in FIG. 3, the two-dimensional dimension drawing of the product is marked with mutually perpendicular reference lines L1 and L2, and the reference lines L1 and L2 respectively represent lines of different reference. For example, the extension line of L1 is marked with L1 in a rectangle drawn by a solid triangle. For the B-reference, the rectangle drawn from the solid triangle on the extension line of L2 is marked with the mark L2 as the C reference. The reference line L1 is the X axis of the workpiece coordinate system, the reference line L2 is the Y axis of the workpiece coordinate system, and the intersection of the reference lines L1 and L2 is the origin of the workpiece coordinate system, and the plane A of the reference line L1, L2 is located. The normal vector is the Z axis. Thereafter, the coordinate system determining module 12 determines a plane corresponding to the plane A in the two-dimensional size map of the product on the three-dimensional model of the product, and establishes a workpiece coordinate system as shown in FIG. 4 on the three-dimensional model of the product.

The transformation information calculation module 13 is configured to generate a homogeneous unit matrix A2 of the mechanical coordinate system according to the origin coordinate of the mechanical coordinate system and the vector in the X, Y, and Z axis directions, according to the origin of the workpiece coordinate system in the mechanical coordinate system. The coordinate is calculated by the translational homogeneous transformation matrix A1 of the workpiece coordinate system relative to the mechanical coordinate system, and the inverse matrix of the translational homogeneous transformation matrix A1 is calculated, and the inverse matrix of the homogeneous transformation matrix A1 is translated according to the homogeneous unit matrix A2 of the mechanical coordinate system. Calculate the rotational homogeneous transformation matrix R of the three-dimensional model of the product.

For example, the origin coordinate of the mechanical coordinate system is (0,0,0), the X vector (X-axis direction) is (1,0,0); the Y vector (Y-axis direction) is (0,1,0), The Z vector (Z-axis direction) is (0, 0, 1), and the homogeneous unit matrix A2 of the mechanical coordinate system is:

Assuming that the origin of the workpiece coordinate system is (1, 1, 1) in the mechanical coordinate system, the translational homogeneous transformation matrix A1 is:

The inverse matrix A1' of the translational homogeneous transformation matrix A1 is:

The rotational homogeneous transformation matrix of the product 3D model R=A2*A1', for example

The transformation information calculation module 13 is further configured to multiply the vertex coordinates of the triangles on the three-dimensional model of the meshed product by the rotation homogeneous transformation matrix R to obtain the coordinates of the vertices of the triangles in the mechanical coordinate system after the product three-dimensional model is squared. .

The graphic drawing module 14 is further configured to redraw the three-dimensional model of the product after being squared according to the coordinates of the vertices of the triangles in the mechanical coordinate system after the three-dimensional model of the product is squared.

Referring to FIG. 2, it is a flow chart of a preferred embodiment of the method for automatically correcting the three-dimensional model of the product of the present invention.

Step S201, the triangular meshing module 11 reads the product three-dimensional model from the storage device 20. And triangulate the 3D model of the product. The graphic drawing module 14 draws a triangular meshed product three-dimensional model according to the three-dimensional coordinates of the triangular vertices on the three-dimensional model of the meshed product in the workpiece coordinate system.

In step S203, the coordinate system determining module 12 reads the two-dimensional size map of the product from the storage device 20, and determines the workpiece coordinate system of the three-dimensional model of the product according to the labeling information in the two-dimensional size map of the product. The 2D dimension drawing of the product includes the labeling information of the product's dimensional basis. The product's dimensional basis is the point, line, and surface used to determine the size of the product during design, processing, measurement, and assembly.

For example, the coordinate system determining module 12 can select two mutually perpendicular reference lines from the two-dimensional size map of the product as the X and Y axes of the workpiece coordinate system (such as the reference lines L1 and L2 shown in FIG. 3). The intersection of the two mutually perpendicular reference lines is used as the origin of the workpiece coordinate system, and the plane where the two reference lines are located is used as a reference plane, and the normal vector of the reference plane is the Z axis of the workpiece coordinate system. Thereafter, the coordinate system determining module 12 determines a plane corresponding to the reference surface in the two-dimensional size map of the product on the three-dimensional model of the product, and establishes the workpiece coordinate system at a corresponding position on the three-dimensional model of the product (as shown in FIG. 4).

In step S205, the transformation information calculation module 13 generates a homogeneous unit matrix A2 of the mechanical coordinate system based on the origin coordinate of the mechanical coordinate system and the vector in the X, Y, and Z axis directions. A2 is:

In step S207, the transformation information calculation module 13 calculates the translational homogeneous transformation matrix A1 of the workpiece coordinate system relative to the mechanical coordinate system according to the coordinates of the origin of the workpiece coordinate system in the mechanical coordinate system. Assuming that the origin of the workpiece coordinate system is (1, 1, 1) in the mechanical coordinate system, the translational homogeneous transformation matrix A1 is:

Step S209, the transformation information calculation module 13 calculates the inverse matrix of the translational homogeneous transformation matrix A1, and calculates the rotational homogeneous transformation of the product three-dimensional model according to the homogeneous matrix matrix A2 of the mechanical coordinate system and the inverse matrix of the translational homogeneous transformation matrix A1. Matrix R. For example, if the inverse matrix A1' of the translational homogeneous transformation matrix A1 is: Then, the rotational homogeneous transformation matrix R=A2* A1' of the three-dimensional model of the product is:

Step S211, the transformation information calculation module 13 multiplies the vertex coordinates of the triangles on the three-dimensional model of the meshed product by the rotation homogeneous transformation matrix R to obtain the coordinates of the vertices of the triangles in the mechanical coordinate system after the product three-dimensional model is squared. .

Step S213, the graphic drawing module 14 is squared according to the three-dimensional model of the product. The coordinates of the vertices in the mechanical coordinate system redraw the three-dimensional model of the product after the alignment.

It should be noted that the above embodiments are merely illustrative of the technical solutions of the present invention, and the present invention is not limited thereto. Although the present invention has been described in detail with reference to the preferred embodiments, those skilled in the art should understand that Modifications or equivalents are made without departing from the spirit and scope of the invention.

100‧‧‧Electronic devices

10‧‧‧Product 3D model automatic alignment system

11‧‧‧Triangular grid module

12‧‧‧ coordinate system determination module

13‧‧‧Transformation Information Computing Module

14‧‧‧Graphic drawing module

20‧‧‧Storage equipment

30‧‧‧ Processor

40‧‧‧Display equipment

Claims (8)

A product three-dimensional model automatic square method is applied to an electronic device, and the method comprises: a triangle meshing step: reading a product three-dimensional model from a storage device, and performing triangle meshing on the product three-dimensional model; the workpiece coordinate system determining step : reading the 2D dimension drawing of the product from the storage device, determining the workpiece coordinate system of the 3D model of the product according to the labeling information in the 2D dimension drawing of the product; the unit matrix generating step: according to the origin coordinate of the mechanical coordinate system and X, The vector in the Y and Z directions generates the homogeneous unit matrix A2 of the mechanical coordinate system; the first transformation matrix calculation step: calculates the translation of the workpiece coordinate system relative to the mechanical coordinate system according to the coordinates of the origin of the workpiece coordinate system in the mechanical coordinate system Homogeneous transformation matrix A1; second transformation matrix calculation step: calculating the inverse matrix of the translational homogeneous transformation matrix A1, and calculating the product three-dimensional model according to the homogeneous matrix matrix A2 of the mechanical coordinate system and the inverse matrix of the translation homogeneous transformation matrix A1 Rotating homogeneous transformation matrix R; and triangle vertex coordinates calculation step: each triangle of the meshed product 3D model Multiplying the vertex coordinate rotation homogeneous transformation matrix R obtained coordinates of each vertex of a triangle in the coordinate system of the mechanical three-dimensional model to straighten the product. For example, the automatic three-dimensional model square method of the product described in claim 1 further comprises the following steps: drawing the three-dimensional coordinates of the triangle vertices on the three-dimensional model of the product in the workpiece coordinate system according to the meshed product. A three-dimensional model of the product after triangular meshing. For example, the method for automatically arranging the three-dimensional model of the product according to the second aspect of the patent application includes the steps of calculating the coordinates of the vertices of the triangles in the mechanical coordinate system according to the vertices of the triangular vertices after the three-dimensional model of the product is squared. A three-dimensional model of the product. The method for automatically arranging a three-dimensional model of a product according to claim 1, wherein the workpiece holder The marking system determining step comprises: selecting two mutually perpendicular reference lines from the two-dimensional dimension drawing of the product as the X and Y axes of the workpiece coordinate system; and the intersection of the two mutually perpendicular reference lines as the original of the workpiece coordinate system Point, the plane where the two reference lines are located as a reference plane, and the normal vector of the reference plane is the Z axis of the workpiece coordinate system; and the plane corresponding to the reference plane in the two-dimensional dimension diagram of the product is determined on the product three-dimensional model The workpiece coordinate system is established at a corresponding position on the three-dimensional model of the product. A three-dimensional model automatic square system for products, which is applied to an electronic device, the system comprises: a triangular meshing module, which is used for reading a three-dimensional model of a product from a storage device, and triangulating the three-dimensional model of the product; Determining a module for determining a workpiece coordinate system of the three-dimensional model of the product according to the information in the two-dimensional size map of the product; and transforming the information calculation module for using the origin coordinate of the mechanical coordinate system and the X, Y, and Z axis directions The homogeneous unit matrix A2 of the vector generation mechanical coordinate system calculates the translational homogeneous transformation matrix A1 of the workpiece coordinate system relative to the mechanical coordinate system according to the coordinates of the origin of the workpiece coordinate system in the mechanical coordinate system, and calculates the translational homogeneous transformation matrix A1. The inverse matrix, and the rotation homogeneous transformation matrix R of the product three-dimensional model is calculated according to the homogeneous unit matrix A2 of the mechanical coordinate system and the inverse matrix of the translation homogeneous transformation matrix A1; and the transformation information calculation module is also used for the grid The vertices of each triangle on the 3D model of the product are multiplied by the rotational homogeneous transformation matrix R to obtain the vertices of the triangles after the product is modeled by the 3D model. Coordinates in the coordinate system. The three-dimensional model automatic square system of the product mentioned in claim 5, further comprising a graphic drawing module, which is configured to draw a triangulation according to the three-dimensional coordinates of the triangle vertices on the three-dimensional model of the meshed product in the workpiece coordinate system. A personalized 3D model of the product. The three-dimensional model automatic square system of the product of claim 6, wherein the graphic The drawing module is also used to redraw the three-dimensional model of the product after the squares of the triangles in the mechanical coordinate system according to the three-dimensional model of the product. The three-dimensional model automatic square positioning system according to claim 5, wherein the coordinate system determining module determines the workpiece coordinate system of the product three-dimensional model according to the information in the two-dimensional size map of the product, including: two-dimensional from the product In the dimension drawing, two mutually perpendicular reference lines are selected as the X and Y axes of the workpiece coordinate system; the intersection of the two mutually perpendicular reference lines is used as the origin of the workpiece coordinate system, and the plane where the two reference lines are located The reference plane, and the normal vector of the reference plane is the Z axis of the workpiece coordinate system; and the plane corresponding to the reference plane in the two-dimensional dimension map of the product is determined on the product three-dimensional model, and the corresponding position is established on the product three-dimensional model. Workpiece coordinate system.