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凸组合球面参数化 被引量：13

Convex Combination Spherical Parameterization
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摘要 针对具有单边界的三角网格或与球面同胚的零亏格封闭网格 ,提出一种基于球面向量线性凸组合的三维网格球面参数化方法 把参数域从平面凸区域扩展到球面凸区域 ,并把具有凸性的重心坐标纳入到参数化框架中 ,使得参数化具有保形性质且变形小 ,同时证明了该参数化方法的存在性和惟一性 Based on a linear convex combination of spherical vectors, a spherical parameterization method for genus zero mesh and single boundary mesh is presented Traditional approach to parameterize triangular mesh onto a planar domain is extended to spherical domain without cutting the mesh into charts Various barycentric coordinates with convexity and shape preserving property are introduced to compute the parameterization with low distortion Existence and uniqueness of the spherical parameterization verified The presented algorithm is simple and reliable despite of the complicated spherical geometry
作者 胡国飞 方兴 彭群生
机构地区 浙江大学CAD&CG国家重点实验室 浙江大学数学系
出处 《计算机辅助设计与图形学学报》 EI CSCD 北大核心 2004年第5期632-637,共6页 Journal of Computer-Aided Design & Computer Graphics
基金 国家自然科学基金( 6 0 10 30 17) 国家重点基础研究发展规划项目(2 0 0 2CB312 10 1)资助
关键词 球面参数化 凸组合 变形 三角网格 零亏格封闭网格 虚拟边界 spherical parameterization convex combination distortion triangular mesh
分类号 TP391.41 [自动化与计算机技术—计算机应用技术]
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参考文献15

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二级参考文献18

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共引文献16

同被引文献187

引证文献13

二级引证文献62

计算机辅助设计与图形学学报
2004年 第5期

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