QuadCover - Surface Parameterization using Branched Coverings

We introduce an algorithm for the automatic computation of global parameterizations on arbitrary simplicial 2‐manifolds, whose parameter lines are guided by a given frame field, for example, by principal curvature frames. The parameter lines are globally continuous and allow a remeshing of the surfa...

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Bibliographic Details
Published in:Computer graphics forum Vol. 26; no. 3; pp. 375 - 384
Main Authors: Kälberer, Felix, Nieser, Matthias, Polthier, Konrad
Format: Journal Article
Language:English
Published: Oxford, UK Blackwell Publishing Ltd 01.09.2007
Subjects:
Algorithms
and systems
Computer graphics
Geometric algorithms
Hierarchy and geometric transformations
I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling
I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling, Hierarchy and geometric transformations, Geometric algorithms, languages, and systems
languages
Studies
ISSN:0167-7055, 1467-8659
Online Access:Get full text
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Summary:We introduce an algorithm for the automatic computation of global parameterizations on arbitrary simplicial 2‐manifolds, whose parameter lines are guided by a given frame field, for example, by principal curvature frames. The parameter lines are globally continuous and allow a remeshing of the surface into quadrilaterals. The algorithm converts a given frame field into a single vector field on a branched covering of the 2‐manifold and generates an integrable vector field by a Hodge decomposition on the covering space. Except for an optional smoothing and alignment of the initial frame field, the algorithm is fully automatic and generates high quality quadrilateral meshes.
Bibliography:ark:/67375/WNG-WBXMMP50-C
ArticleID:CGF1060
istex:9187DB3B37ED69EE3CE7E09075266DEC5A1AE728
“Mathematics for key technologies” and mental images GmbH.
atheon
Supported by the DFG Research Center M
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ISSN:0167-7055
1467-8659
DOI:10.1111/j.1467-8659.2007.01060.x