A simple manifold-based construction of surfaces of arbitrary smoothness

Lexing Ying, Denis Zorin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We present a smooth surface construction based on the manifold approach of Grimm and Hughes. We demonstrate how this approach can relatively easily produce a number of desirable properties which are hard to achieve simultaneously with polynomial patches, subdivision or variational surfaces. Our surfaces are C -continuous with explicit nonsingular C rameterizations, high-order flexible at control vertices, depend linearly on control points, have fixed-size local support for basis functions, and have good visual quality.

Original languageEnglish (US)
Title of host publicationACM Transactions on Graphics
Pages271-275
Number of pages5
Volume23
Edition3
DOIs
StatePublished - 2004
EventACM Transactions on Graphics - Proceedings of ACM SIGGRAPH 2004 -
Duration: Aug 9 2004Aug 12 2004

Other

OtherACM Transactions on Graphics - Proceedings of ACM SIGGRAPH 2004
Period8/9/048/12/04

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Polynomials

Keywords

  • Geometric modeling
  • Manifolds

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Software

Cite this

A simple manifold-based construction of surfaces of arbitrary smoothness. / Ying, Lexing; Zorin, Denis.

ACM Transactions on Graphics. Vol. 23 3. ed. 2004. p. 271-275.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Ying, L & Zorin, D 2004, A simple manifold-based construction of surfaces of arbitrary smoothness. in ACM Transactions on Graphics. 3 edn, vol. 23, pp. 271-275, ACM Transactions on Graphics - Proceedings of ACM SIGGRAPH 2004, 8/9/04. https://doi.org/10.1145/1015706.1015714
Ying, Lexing ; Zorin, Denis. / A simple manifold-based construction of surfaces of arbitrary smoothness. ACM Transactions on Graphics. Vol. 23 3. ed. 2004. pp. 271-275
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