Iterative refinement of hierarchical T-meshes for bases of spline spaces with highest order smoothness

Dmitry Berdinsky, Tae Wan Kim, Cesare Bracco, Durkbin Cho, Min Jae Oh, Yeong Hwa Seo, Sutipong Kiatpanichgij

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In this paper we propose a strategy for generating consistent hierarchical T-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 T-meshes over any shape of a two-dimensional domain.

Original languageEnglish
Pages (from-to)96-107
Number of pages12
JournalCAD Computer Aided Design
Volume47
DOIs
StatePublished - 2014

Keywords

  • Hierarchical T-mesh
  • Local refinement
  • Spline space

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