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Research and Application of Discrete Mesh Blending Technology Based on Implicit Surfaces

Author: DuanZuoHao
Tutor: ChengZuoSheng
School: Nanjing University of Aeronautics and Astronautics
Course: Aviation Aerospace Manufacturing Engineering
Keywords: mesh automatic positioning plane fit mesh blending triangulation variational implicit surfaces
CLC: TP391.41
Type: Master's thesis
Year: 2011
Downloads: 11
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Abstract


Along with the rapid development of the computer graphics and the rapid expansion of relevant industries, the strong demand of the tools with high performance for the three- dimensional (3D) geometrical modeling is higher and higher. It is always being a hot topic, of the technical personnel research and exploration, that how to provide the more flexible, efficient and easy to operate tools for 3D geometrical modeling. Based on the thoughts of modeling by example, this paper put forward a new method for discrete mesh blending using variational implicit surface. The main work of this paper is as follows:(1)A new method is proposed for mesh automatic positioning in the mesh blending system. We select the mark points of the two mesh respectively, and then input the parameter of mesh distance. The locating datum axis is calculated by fitting plane on eigenvalue decomposition theory using the boundary points of the mesh. Form the above work ,we are able to get all the positioning datum. So, the mesh automatic positioning can be completed expediently by automatic matching of the locating datum using the relative corresponding 3d geometry transforms. This method of mesh automatic positioning can improve the efficiency of the mesh blending system greatly.(2)We propose a novel algorithm to complete the topology fusion of the bending meshes by triangulation to the boundary points. Firstly, a pretreatment is implemented for the irregular boundary, so that the boundary is flat and favors the next triangulations processing. Secondly, the triangulation processing of boundary points is implemented here. Through the boundary bridging and related weights setting, the new triangles are generated border with both side of the bridge. Consequently, the two boundary of blending meshes are connected seamlessly. Thirdly, we will give a special discussion of the“blind area”during the triangulations process. Finally, the result coarse mesh is refined and optimized, to keep its triangle size consistent with the original blending meshes, and to have good mesh regularity.(3)This paper adopted a smooth variational implicit surface as intermediate blending surface to realize the geometrical fusion of the blending meshes. Using the variational interpolation method of interpolation boundary point position constraints and normal constraints, we can get the smooth variational implicit surface. Then, the vertexes of the refined and optimized mesh will be projected on the variational implicit surface. So that, we complete the geometrical fusion of the blending meshes.

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CLC: > Industrial Technology > Automation technology,computer technology > Computing technology,computer technology > Computer applications > Information processing (information processing) > Pattern Recognition and devices > Image recognition device
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