三角形网格球面参数化研究  

Research on Spherical Parameterization of Triangle Mesh

作　　者：邹承明[1] 李引[1] 赵广辉[1] 钟珞[1] 

机构地区：[1]武汉理工大学计算机科学与技术学院,武汉430070

出　　处：《武汉理工大学学报》2010年第6期126-129,共4页Journal of Wuhan University of Technology

基　　金：国家自然科学基金(50802068)

摘　　要：针对调和映射的思想提出了一种新的零亏格的任意拓扑流形三角形网格的球面参数化方法。首先构造一个质心映射将三角形网格映射到单位球面上,接着利用球面均值迭代调整调和能量,使其向最小化方法演化,最后通过坐标转换计算得到三角形网格的球面参数。实验证明改进后的三角形网格球面参数化方法在球谐变换等图形处理中取得了很好的效果。In this paper,it presents a novel approach of spherical parameterization of closed manifold genus zero mesh of arbitrary topology.Based on the geometric distortion is minimized with harmonic mapping and a mapping is a harmonic mapping when its harmonic energy is minimized,we firstly construct a barycentric mapping relation between a triangle mesh and a unit sphere.Then we use spherical medians to minimize the harmonic energy of the mapping by iteration method,until the harmonic energy is minimized.Finally we calculate the Euler angles through the mapping we just get,and finish spherical parameterization of triangle mesh.

关 键 词：三角形网格 流形 调和映射 球面参数化 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]