A simple manifold-based construction of surfaces of arbitrary smoothness

Lexing Ying, Denis Zorin

Research output: Contribution to journalConference articlepeer-review

82 Citations (SciVal)


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
Pages (from-to)271-275
Number of pages5
JournalACM Transactions on Graphics
Issue number3
Publication statusPublished - 2004
Externally publishedYes
EventACM Transactions on Graphics - Proceedings of ACM SIGGRAPH 2004 -
Duration: 9 Aug 200412 Aug 2004


  • Geometric modeling
  • Manifolds


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