Nguyen Thien, Peters Jörg
Dept CISE, University of Florida, USA.
Comput Aided Geom Des. 2016 Mar 1;43:123-130. doi: 10.1016/j.cagd.2016.02.009.
Building on a result of U. Reif on removable singularities, we construct bi-3 splines that may include irregular points where less or more than four tensor-product patches meet. The resulting space complements PHT splines, is refinable and the refined spaces are nested, preserving for example surfaces constructed from the splines. As in the regular case, each quadrilateral has four degrees of freedom, each associated with one spline and the splines are linearly independent. Examples of use for surface construction and isogeometric analysis are provided.
基于U. Reif关于可去奇点的一个结果，我们构造了双三次样条，它可能包含不规则点，在这些点处有少于或多于四个张量积面片相交。所得空间补充了PHT样条，是可细化的，并且细化后的空间是嵌套的，例如保留了由样条构造的曲面。与规则情况一样，每个四边形有四个自由度，每个自由度与一个样条相关联，并且这些样条是线性无关的。还提供了曲面构造和等几何分析的应用示例。
