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Iterative refinement of hierarchical T-meshes for bases of spline spaces with highest order smoothness
- Authors
- Berdinsky, Dmitry; Kim, Tae-wan; Bracco, Cesare; Cho, Durkbin; Oh, Min-jae; Seo, Yeong-hwa; Kiatpanichgij, Sutipong
- Issue Date
- Feb-2014
- Publisher
- ELSEVIER SCI LTD
- Keywords
- Hierarchical T-mesh; Spline space; Local refinement
- Citation
- COMPUTER-AIDED DESIGN, v.47, pp 96 - 107
- Pages
- 12
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- COMPUTER-AIDED DESIGN
- Volume
- 47
- Start Page
- 96
- End Page
- 107
- ISSN
- 0010-4485
1879-2685
- 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. (C) 2013 Elsevier Ltd. All rights reserved.
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Related Researcher
- Cho, Durk Bin
- College of Natural Science (Department of Mathematics)