poster

Patching Non-Uniform Extraordinary Points with Sharp Features

Authors:

Yi-Fei Feng,

Xin Li,

Chun-Ming Yuan,

Li-Yong ShenAuthors Info & Claims

SA '21 Posters: SIGGRAPH Asia 2021 Posters

Article No.: 3, Pages 1 - 2

https://doi.org/10.1145/3476124.3488626

Published: 14 December 2021 Publication History

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Abstract

Extending the non-uniform rational B-spline (NURBS) representation to arbitrary topology is one of the most important steps to define the iso-geometric analysis (IGA) suitable geometry. The approach needs to be NURBS-compatible and can handle non-uniform knot intervals. To achieve this goal, we present a novel patching solution which define one Bézier patch for each non-zero knot interval control grid face. The construction can reproduce the bi-cubic NURBS in the regular face and define bi-quintic Bézier patches for irregular faces. The method can also support non-uniform sharp features along the extraordinary points. Experimental results demonstrate that the new surfaces can improve the surface quality for non-uniform parameterization.

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References

[1]

T. J. Cashman, U. H. Augsdörfer, N. A. Dodgson, and Malcolm A. Sabin. 2009. NURBS with Extraordinary Points: High-degree, Non-uniform, Rational Subdivision Schemes. ACM Transactions on Graphics 28, 3 (2009), 1–9.

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Published In

SA '21 Posters: SIGGRAPH Asia 2021 Posters

December 2021

87 pages

ISBN:9781450386876

DOI:10.1145/3476124

Editors:
Shuzo John Shiota
CEO, Polygon Pictures Inc., Japan
,
Ayumi Kimura
Research Manager at OLM Digital, Inc., Japan and Program Manager and Collaboration Coordinator at CMIC, Victoria University of Wellington, New Zealand
,
Wan-Chun Alex Ma
Senior Research Scientist, ByteDance, USA

Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 14 December 2021

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Poster
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Refereed limited

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SA '21

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SIGGRAPH

SA '21: SIGGRAPH Asia 2021

December 14 - 17, 2021

Tokyo, Japan

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Overall Acceptance Rate 178 of 869 submissions, 20%

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References

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Selective knot insertion for symmetric, non-uniform refine and smooth B-spline subdivision

Non-uniform interpolatory subdivision via splines