Smooth 2D Coordinate Systems on Discrete Surfaces
Identifieur interne : 002E85 ( Istex/Curation ); précédent : 002E84; suivant : 002E86Smooth 2D Coordinate Systems on Discrete Surfaces
Auteurs : Colin Cartade [France] ; Rémy Malgouyres [France] ; Christian Mercat [France] ; Chafik Samir [France]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: We introduce a new method to compute conformal parameterizations using a recent definition of discrete conformity, and establish a discrete version of the Riemann mapping theorem. Our algorithm can parameterize triangular, quadrangular and digital meshes. It can be adapted to preserve metric properties. To demonstrate the efficiency of our method, many examples are shown in the experiment section.
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DOI: 10.1007/978-3-642-19867-0_5
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<front><div type="abstract" xml:lang="en">Abstract: We introduce a new method to compute conformal parameterizations using a recent definition of discrete conformity, and establish a discrete version of the Riemann mapping theorem. Our algorithm can parameterize triangular, quadrangular and digital meshes. It can be adapted to preserve metric properties. To demonstrate the efficiency of our method, many examples are shown in the experiment section.</div>
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