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非均匀细分曲面造型及其连续性分析 总被引:4,自引:0,他引:4
引入等价节点距的概念,提出了用于非均匀Catmull-Clark曲面的特征分析、收敛性及连续性分析的新方法,并证明了任意奇异点处的收敛性及其G1连续性,另外,对NURSS的细分规则作了一点改进,这使在进行任意拓扑的自由曲面建模时又多了一个选择。 相似文献
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An improved ternary subdivision interpolation scheme was developed for computer graphics applications that can manipulate open control polygons unlike the previous ternary scheme, with the resulting curve proved to be still C2-continuous. Parameterizations of the limit curve near the two endpoints are given with expressions for the boundary derivatives. The split joint problem is handled with the interpolating ternary subdivision scheme. The improved scheme can be used for modeling interpolation curves in computer aided geometric design systems, and provides a method for joining two limit curves of interpolating ternary subdivisions. 相似文献
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精确计算均匀Doo-Sabin曲面 总被引:1,自引:0,他引:1
提出了Doo-Sabin细分曲面的参数化方法,分别给出了计算两种均匀Doo-Sabin曲面任意参数处的值和导数的非递归方法,推导了两种Doo-Sabin曲面的广义特征基函数.由此,进一步打破了细分曲面不能被精确计算的偏见. 相似文献
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