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 parameterizations, highorder 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 SIGGRAPH 2004 Papers, SIGGRAPH 2004
Pages271-275
Number of pages5
DOIs
StatePublished - 2004
EventACM SIGGRAPH 2004, SIGGRAPH 2004 - Los Angeles, CA, United States
Duration: Aug 8 2004Aug 12 2004

Other

OtherACM SIGGRAPH 2004, SIGGRAPH 2004
CountryUnited States
CityLos Angeles, CA
Period8/8/048/12/04

Fingerprint

Parameterization
Polynomials

Keywords

  • Geometric modeling
  • Manifolds

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Computer Vision and Pattern Recognition
  • Human-Computer Interaction

Cite this

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

ACM SIGGRAPH 2004 Papers, SIGGRAPH 2004. 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 SIGGRAPH 2004 Papers, SIGGRAPH 2004. pp. 271-275, ACM SIGGRAPH 2004, SIGGRAPH 2004, Los Angeles, CA, United States, 8/8/04. https://doi.org/10.1145/1186562.1015714
Ying, Lexing ; Zorin, Denis. / A simple manifold-based construction of surfaces of arbitrary smoothness. ACM SIGGRAPH 2004 Papers, SIGGRAPH 2004. 2004. pp. 271-275
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