Manifold-based surfaces with boundaries

Elif Tosun; Denis Zorin

doi:10.1016/j.cagd.2010.07.005

Manifold-based surfaces with boundaries

Elif Tosun, Denis Zorin

Computer Science

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	1-22
Number of pages	22
Journal	Computer Aided Geometric Design
Volume	28
Issue number	1
DOIs	https://doi.org/10.1016/j.cagd.2010.07.005
State	Published - Jan 2011

Keywords

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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10.1016/j.cagd.2010.07.005

Cite this

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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.",

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Manifold-based surfaces with boundaries

Abstract

Keywords

ASJC Scopus subject areas

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