Download Advances in Geometric Modeling and Processing: 5th by Juncong Lin, Xiaogang Jin, Zhengwen Fan, Charlie C. L. Wang PDF

By Juncong Lin, Xiaogang Jin, Zhengwen Fan, Charlie C. L. Wang (auth.), Falai Chen, Bert Jüttler (eds.)

This publication constitutes the refereed court cases of the fifth foreign convention on Geometric Modeling and Processing, GMP 2008, held in Hangzhou, China, in April 2008.

The 34 revised complete papers and 17 revised brief papers offered have been conscientiously reviewed and chosen from a complete of 113 submissions. The papers conceal a large spectrum within the quarter of geometric modeling and processing and handle themes akin to curves and surfaces, electronic geometry processing, geometric characteristic modeling and popularity, geometric constraint fixing, geometric optimization, multiresolution modeling, and purposes in laptop imaginative and prescient, photograph processing, medical visualization, robotics and opposite engineering.

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Extra info for Advances in Geometric Modeling and Processing: 5th International Conference, GMP 2008, Hangzhou, China, April 23-25, 2008. Proceedings

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Following the proposed approach, we present a practical carving algorithm that is based on the Constrained Delaunay Tetrahedralization (CDT). The algorithm pretetrahedralizes the complement of the input with respect to its convex hull and then eliminates tetrahedra in a prioritized manner. We present quality results for two families of meshes that are difficult to simplify by all existing methods known to us - topologically complex and highly clustered meshes. Keywords: model simplification, topology simplification, level-of-detail generation, shape approximation and geometric modeling.

Morgan Kaufmann Publishers, San Francisco (2002) 46 Z. Huang and G. Wang Appendix 1: Conversion Matrix T The 15 × 12 matrix T which converts from the 12 control vertices of a quartic box spline surface patch to the 15 B´ezier points of the corresponding quartic triangular B´ezier patch is as follows: ⎤ ⎡ 2 2 2 12 2 0 2 2 0 0 0 0 ⎢ 1 0 3 12 1 0 4 3 0 0 0 0 ⎥ ⎥ ⎢ ⎢ 0 1 1 12 3 0 3 4 0 0 0 0 ⎥ ⎥ ⎢ ⎢0 0 4 8 0 0 8 4 0 0 0 0⎥ ⎥ ⎢ ⎢ 0 0 1 10 1 0 6 6 0 0 0 0 ⎥ ⎥ ⎢ ⎢0 0 0 8 4 0 4 8 0 0 0 0⎥ ⎥ ⎢ ⎢ 0 0 3 4 0 1 12 3 0 0 1 0 ⎥ ⎥ 1 ⎢ ⎢ 0 0 1 6 0 0 10 6 0 0 1 0 ⎥ T = ⎥ ⎢ 24 ⎢ ⎥ ⎢ 0 0 0 6 1 0 6 10 0 0 1 0 ⎥ ⎢ 0 0 0 4 3 0 3 12 1 0 1 0 ⎥ ⎥ ⎢ ⎢ 0 0 2 2 0 2 12 2 0 2 2 0 ⎥ ⎥ ⎢ ⎢ 0 0 1 3 0 0 12 4 0 1 3 0 ⎥ ⎥ ⎢ ⎢0 0 0 4 0 0 8 8 0 0 4 0⎥ ⎥ ⎢ ⎣ 0 0 0 3 1 0 4 12 0 0 3 1 ⎦ 0 0 0 2 2 0 2 12 2 0 2 2 A Carving Framework for Topology Simplification of Polygonal Meshes Nate Hagbi and Jihad El-Sana Computer Science Department Ben-Gurion University Israel Abstract.

S n . The super- and subscripts i = 1, . . , n are taken modulo n. Let ui ∈ [0, 1] be the parameter corresponding to the curve between v and vi , the surface patch S i is then parameterized as illustrated in Figure 1. e. G1 continuous. This means that the surface is C∞ everywhere except at the inner patch boundaries where it has continuously varying tangent planes. Let S i and S i−1 be two adjacent tensor product B´ezier patches parameterized as in Figure 1. S i and S i−1 join at the common boundary with tangent plane continuity, denoted G1 , if and only if there exist three scalar functions Φi , νi and μi such that Φi (ui ) ∂S i ∂S i ∂S i−1 (ui , 0) = νi (ui ) (ui , 0) + μi (ui ) (0, ui ) , ∂ui ∂ui+1 ∂ui−1 (2) where νi (ui ) · μi (ui ) > 0 (preservation of orientation, avoiding ridges) and ∂S i ∂S i ∂ui (ui , 0) × ∂ui+1 (ui , 0) = 0 (well defined normal vectors).

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