Complex free-form surface mesh generation method based on surface fitting and geodesic lines

A technology of surface fitting and grid division, which is applied in the directions of instruments, computing, image data processing, etc., can solve the problems of unsatisfactory grid division effect, and achieve good architectural aesthetics and smooth lines

Inactive Publication Date: 2018-04-13
ZHEJIANG UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

However, for complex free-form surfaces, the effect of meshing is still not ideal

Method used

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  • Complex free-form surface mesh generation method based on surface fitting and geodesic lines
  • Complex free-form surface mesh generation method based on surface fitting and geodesic lines
  • Complex free-form surface mesh generation method based on surface fitting and geodesic lines

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Experimental program
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Effect test

Embodiment 1

[0056] Such as figure 1 As shown, it is a complex free-form surface, which is composed of multiple NURBS clipping surfaces, and it is impossible to obtain better meshing results by conventional methods. Taking this curved surface as an example, the specific implementation of the complex free-form surface meshing method (surface-surface intersection method) based on surface fitting and geodesics in the present invention will be described below.

[0057] 1) Fill the holes on the surface. When there is a hole inside the complex free-form surface, in order to ensure that the intersection line between the plane and the curved surface can be fitted as a curve on the plane, the hole is filled with a plane. Such as figure 1 As shown, there are three holes in the surface, which are filled by three planes to form a continuous surface without holes.

[0058] 2) Select the plane cutting method. Use N planes distributed in a path array to cut the longitudinal section of the NURBS surfa...

Embodiment 2

[0091] In this example, for Figure 16 The surface shown is meshed, and the surface is composed of three surfaces, and the fitting surface is as follows Figure 17 shown. After utilizing the aforementioned method of the present invention to process it (the specific method is as described above, no more details), the generated geodesic line is as follows Figure 18 As shown, and further use the kangaroo plug-in in Rhino software to smooth the grid as shown in Figure 19 shown.

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Abstract

The invention discloses a complex free-form surface grid division method based on surface fitting and geodesic lines, belonging to the field of architectural grid division. This method first proposes a surface-to-surface intersection method based on NURBS to obtain the N×M point cloud of the complex free-form surface, and uses the N×M point cloud as the control point to construct the NURBS surface, and then divides the pruned NURBS surface with a given number of boundaries Or divide with a given length, connect multiple boundary segment points to form a geodesic grid, and optimize and smooth to obtain the final complex free-form surface grid. The grid division method provided by the present invention can obtain grids with smooth lines and basically the same size. Compared with the multi-surface grid division method, surface fitting and geodesic grids can be used to obtain grids with smooth lines and uniform transition , has a good architectural aesthetic effect.

Description

technical field [0001] The invention belongs to the field of architectural grid division, and in particular relates to a complex free-form surface grid division method based on surface fitting and geodesic lines. Background technique [0002] With the advancement of computer science and technology, the development of building construction technology and the improvement of architectural aesthetics, free-form surface structures appear more and more in people's field of vision with their beautiful shapes. "Free-form surface" refers to a surface that cannot be expressed by a single or several analytical functions, and can also be understood as those surfaces that are clearly different from traditional architectural shapes. Since the analytic surface has a certain periodicity or regularity, its grid division is more convenient. However, the irregularity of the free-form surface makes the traditional grid division difficult to apply to the free-form surface structure. Therefore,...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06T17/30
CPCG06T17/30G06T2210/04
Inventor 高博青陈礼杰吴慧
Owner ZHEJIANG UNIV
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