Article ID Journal Published Year Pages File Type
440107 Computer-Aided Design 2014 12 Pages PDF
Abstract

•An iterative refinement strategy for generating hierarchical TT-meshes is proposed.•The required ordering of line-segments which form a TT-mesh is specified.•The construction of spline basis functions is obtained.•The proposed algorithm includes standard hierarchical BB-splines.

In this paper we propose a strategy for generating consistent hierarchical TT-meshes which allow local refinement and offer a way to obtain spline basis functions with highest order smoothness incrementally. We describe the required ordering of line-segments during refinement and the construction of spline basis functions. We give our strategy for generating consistent hierarchical TT-meshes over any shape of a two-dimensional domain.

Related Topics
Physical Sciences and Engineering Computer Science Computer Graphics and Computer-Aided Design
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