Journal
SCIENCE CHINA-MATHEMATICS
Volume 59, Issue 4, Pages 617-644Publisher
SCIENCE PRESS
DOI: 10.1007/s11425-015-5063-8
Keywords
geometric modeling; isogeometric analysis; B-splines; hierarchical B-splines; T-splines; polynomial splines over hierarchical T-meshes (PHT-splines); locally refined (LR) B-splines; local refinement
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Funding
- National Natural Science Foundation of China [11031007, 60903148]
- Chinese Universities Scientific Fund
- Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry
- Chinese Academy of Sciences Startup Scientific Research Foundation
- State Key Development Program for Basic Research of China (973 Program) [2011CB302400]
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This paper provides a survey of local refinable splines, including hierarchical B-splines, T-splines, polynomial splines over T-meshes, etc., with a view to applications in geometric modeling and iso-geometric analysis. We will identify the strengths and weaknesses of these methods and also offer suggestions for their using in geometric modeling and iso-geometric analysis.
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