Modified T-splines

被引：32
作者：
Kang, Hongmei [1 ]
Chen, Falai [1 ]
Deng, Jiansong [1 ]
机构：
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 2013年 / 30卷 / 09期
关键词：
T-mesh; T-spline; Knot deletion; Surface fitting; Surface simplification; POLYNOMIAL SPLINES;
D O I：
10.1016/j.cagd.2013.09.001
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
T-splines are a generalization of NURBS surfaces, the control meshes of which allow T-junctions. T-splines can significantly reduce the number of superfluous control points in NURBS surfaces, and provide valuable operations such as local refinement and merging of several B-splines surfaces in a consistent framework. In this paper, we propose a variant of T-splines called Modified T-splines. The basic idea is to construct a set of basis functions for a given T-mesh that have the following nice properties: non-negativity, linear independence, partition of unity and compact support. Due to the good properties of the basis functions, the Modified T-splines are favorable both in adaptive geometric modeling and isogeometric analysis. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：827 / 843
页数：17
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