Journal
GRAPHICAL MODELS
Volume 77, Issue -, Pages 18-26Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.gmod.2014.10.003
Keywords
Subdivision; Surface; Doo-Sabin; Biquadratic; Shape; Guide point; Polar subdivision; Ternary subdivision
Categories
Funding
- National Science Foundation (USA) [CCF-1117695]
- Division of Computing and Communication Foundations
- Direct For Computer & Info Scie & Enginr [1117695] Funding Source: National Science Foundation
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Shape artifacts, especially for convex input polyhedra, make Doo and Sabin's generalization of bi-quadratic (bi-2) subdivision surfaces unattractive for general design. Rather than tuning the eigenstructure of the subdivision matrix, we improve shape by adding a point and enriching the refinement rules. Adding a guiding point can also yield a polar bi-2 subdivision algorithm. Both the augmented and the polar bi-2 subdivision are complemented by a new Primal Bi-2 Subdivision scheme. All surfaces are C-1 and can be combined. Crown Copyright (C) 2014 Published by Elsevier Inc. All rights reserved.
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