An algorithm of determining T-spline classification
An algorithm of determining T-spline classification
复制标题
DOI：
10.1016/j.eswa.2013.07.029
复制
发表时间：
2013-12
期刊：
影响因子：
--
通讯作者：
Aizeng Wang;Gang Zhao
中科院分区：
文献类型：
--
作者：
Aizeng Wang;Gang Zhao
T样条是一种新兴的曲面建模技术，其理论框架尚不完善。针对T样条如何分类的问题进行了数学分析，并给出了标准T样条的充分条件。然后本文提出了一种确定T样条分类的算法，通过该算法可以得到T样条固有的数学性质。最后，实验结果验证了我们算法的有效性。本文的研究成果对T样条理论和T样条建模算法的研究具有重要作用。
T-splines are a new surface modeling technology, whose theoretical framework is not still well founded. Aiming at the problem that how to classify T-splines this paper gives a mathematical analysis, and a sufficient condition of standard T-splines is also given. Then this paper presents an algorithm of determining the T-spline classification, and we can get the inherently mathematical properties of T-splines by the algorithm. At last, the experimental results verify the effectiveness of our algorithm. The results in this paper play an important role in the research on T-spline theory and T-spline modeling algorithms.