Journal
COMPUTER-AIDED DESIGN
Volume 162, Issue -, Pages -Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.cad.2023.103543
Keywords
Subdivision surface; Finitely -many patches; Surface shape; Smoothness
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This article discusses the problem of filling multi-sided holes and introduces a new algorithm to improve surface shape. The new algorithm addresses the issues of the old algorithms and emphasizes the balance between smoothness and good shape.
The quest for a finite number of bicubic (bi-3) polynomial pieces to smoothly fill multi-sided holes after a fixed number of surface subdivision steps has motivated a number of constructions of finite surface caps. Recent bi-3 and bi-4 subdivision algorithms have improved surface shape compared to classic Catmull-Clark and curvature-bounded 'tuned' subdivision. Since the older subdivision algorithms exhibit artifacts that obscure the shortcomings of corresponding caps, it is worth re-visiting their multi-sided fill surfaces. The improved caps address the challenge so that either bi-3 or bi-4 data can be accommodated, as needed. The derivation illustrates the subtle fundamental trade off between formal algebraic mathematical smoothness constraints and good shape in the large. Crown Copyright & COPY; 2023 Published by Elsevier Ltd. All rights reserved.
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