Discrete tensorial quasi-harmonic maps

Author

Zayer, Rhaleb ; Rössl, Christian ; Seidel, Hans-Peter

Author_Institution

Max-Planck-Inst. fur Inf., Saarbrucken, Germany

fYear

2005

fDate

13-17 June 2005

Firstpage

276

Lastpage

285

Abstract

We introduce new linear operators for surface parameterization. Given an initial mapping from the parametric plane onto a surface mesh, we establish a secondary map from the plane onto itself that mimics the initial one. The resulting low-distortion parameterization is smooth as it stems from solving a quasi-harmonic equation. Our parameterization method is robust and independent of (the quality of) the initial map.

Keywords

computational geometry; mesh generation; surface fitting; discrete tensorial quasi-harmonic map; linear operator; low-distortion parameterization; parametric plane; quasi-harmonic equation; surface mesh; surface parameterization; Application software; Computational modeling; Computer graphics; Geometry; Laplace equations; Linear systems; Nonlinear distortion; Robustness; Surface texture; Tensile stress;

fLanguage

English

Publisher

ieee

Conference_Titel

Shape Modeling and Applications, 2005 International Conference

Print_ISBN

0-7695-2379-X

Type

conf

DOI

10.1109/SMI.2005.17

Filename

1563233

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2836300