构造光滑表面的投影线性过渡映射

2010 Shape Modeling International Conference Pub Date : 2010-06-21 DOI:10.1109/SMI.2010.26

Jörg Peters, Jianhua Fan

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引用次数: 7

摘要

我们展示了构造g>0的C^s曲面的本质上唯一的射影线性(有理线性)再参数化。相反，对于价为8的四边形和孤立顶点，我们建设性地表明，对于s=1,2，该映射产生了一个大于或等于1的曲面的投影线性样条空间。这将重新参数化建立为最简单的可能转换映射。

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The Projective Linear Transition Map for Constructing Smooth Surfaces

We exhibit the essentially unique projective linear (rational linear) reparameterization for constructing C^s surfaces of genus g>0. Conversely, for quadrilaterals and isolated vertices of valence 8, we show constructively for s=1,2 that this map yields a projective linear spline space for surfaces of genus greater or equal to 1. This establishes the reparametrization to be the simplest possible transition map.

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2010 Shape Modeling International Conference

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