当前位置: X-MOL 学术Comput. Aided Des. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
A multisided C2 B-spline patch over extraordinary vertices in quadrilateral meshes
Computer-Aided Design ( IF 4.3 ) Pub Date : 2020-05-08 , DOI: 10.1016/j.cad.2020.102855
Gerben J. Hettinga , Jiří Kosinka

We propose a generalised B-spline construction that extends uniform bicubic B-splines to multisided regions spanned over extraordinary vertices in quadrilateral meshes. We show how the structure of the generalised Bézier patch introduced by Várady et al. can be adjusted to work with B-spline basis functions. We create ribbon surfaces based on B-splines using special basis functions. The resulting multisided surfaces are C2 continuous internally and connect with G2 continuity to adjacent regular and other multisided B-splines patches. We visually assess the quality of these surfaces and compare them to Catmull–Clark limit surfaces on several challenging geometrical configurations.



中文翻译:

多面 C2 四边形网格中非凡顶点的B样条补丁

我们提出了一种广义的B样条构造,该构造将均匀的双三次B样条扩展到四边形网格中非凡顶点上跨越的多边区域。我们展示了Várady等人介绍的广义Bézier补丁的结构。可以调整为与B样条基函数一起使用。我们使用特殊的基础函数基于B样条创建带状曲面。产生的多面是C2 内部连续并与 G2与相邻的常规B样条和其他多面B样条曲线具有连续性。我们通过视觉评估这些表面的质量,并将它们与Catmull–Clark极限表面在几种具有挑战性的几何构造上进行比较。

更新日期:2020-05-08
down
wechat
bug