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三角网格的参数化 被引量:34

Survey on Parameterization of Triangular Meshes
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摘要 参数化变形的大小是衡量参数化好坏的标准 基于这个标准 ,分别从平面参数域和球面参数域对各种参数化方法的保面积性、保角性和等距性进行深入的讨论 ,并从算法的理论基础、运算时间复杂度、适用范围和数值实现方法等方面作了详细的比较和论述 最后 ,结合作者在本领域的研究工作 。 Aiming at low-distortion of parameterization of triangular meshes, this paper investigates the latest theoretical and practical results on authalic, conformal and isometric mappings for parameterizations in planar and spherical domains. Detailed comparisons of various algorithms on their theoretical basis, time and space complexity, applied environments and numerical implementations are presented, also the future research directions are highlighted.
出处 《计算机辅助设计与图形学学报》 EI CSCD 北大核心 2004年第6期731-739,共9页 Journal of Computer-Aided Design & Computer Graphics
基金 国家自然科学基金 ( 60 10 3 0 17) 国家重点基础研究发展规划项目( 2 0 0 2CB3 12 10 1)资助
关键词 三角网格 参数化 变形 综述 triangular meshes parameterization distortion survey
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参考文献63

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