Manifold-based surfaces with boundaries

Elif Tosun, Denis Zorin

Research output: Contribution to journalArticle

Abstract

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
Volume28
Issue number1
DOIs
StatePublished - Jan 2011

Fingerprint

Smoothness
Flexibility
Mesh
Derivatives
Derivative
Configuration
Range of data
Vision

Keywords

  • Geometric modeling
  • High-order surfaces
  • Manifolds

ASJC Scopus subject areas

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

Cite this

Manifold-based surfaces with boundaries. / Tosun, Elif; Zorin, Denis.

In: Computer Aided Geometric Design, Vol. 28, No. 1, 01.2011, p. 1-22.

Research output: Contribution to journalArticle

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