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Smooth 2D Coordinate Systems on Discrete Surfaces

Identifieur interne : 002632 ( Main/Exploration ); précédent : 002631; suivant : 002633

Smooth 2D Coordinate Systems on Discrete Surfaces

Auteurs : Colin Cartade [France] ; Rémy Malgouyres [France] ; Christian Mercat [France] ; Chafik Samir [France]

Source :

RBID : ISTEX:C6FA935695CED487F3215FB8DF85A9CFC38B82A4

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.

Url:
DOI: 10.1007/978-3-642-19867-0_5


Affiliations:


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