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任意拓扑三角形网格的全局参数化

DOI: 10.11834/jig.200306231

Keywords: 计算机图形学(520?6030),累进网格,网格参数化,网格分析

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Abstract:

提出了一种零亏格的任意拓扑流形三角形网格自动全局参数化方法.算法首先采用顶点对合并的网格简化方法构造一个网格的累进表示,在进行网格简化的同时,对被删除的顶点相对于顶点合并操作所得到的新顶点的邻域进行局部参数化,由此得到一个带局部参数化信息的累进网格;然后将网格简化所得到的基网格进行中心投影到一个单位球面上,并采用累进恢复的方法将删除的顶点按与删除时相反的顺序逐次添加回网格上来,所添加顶点的坐标不再是其删除前的坐标值,而是由局部参数化信息计算得到,并且保证是位于单位球面上的.由此得到原始网格的单位球面参数化网格

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