Manifold-based surfaces with boundaries

Elif Tosun, Denis Zorin

Research output: Contribution to journalArticlepeer-review


We present a manifold-based surface construction extending the C∞ construction of Ying and Zorin (2004). Our surfaces allow for piecewise-smooth boundaries and have an improved derivative and visual behavior. Their degree of smoothness can be controlled by the user. Two-flexibility of our surface construction is confirmed numerically for a range of local mesh configurations.

Original languageEnglish (US)
Pages (from-to)1-22
Number of pages22
JournalComputer Aided Geometric Design
Issue number1
StatePublished - Jan 2011


  • Geometric modeling
  • High-order surfaces
  • Manifolds

ASJC Scopus subject areas

  • Modeling and Simulation
  • Automotive Engineering
  • Aerospace Engineering
  • Computer Graphics and Computer-Aided Design


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