Conformal surface parameterization for texture mapping

Author

Haker, Steven ; Angenent, Sigurd ; Tannenbaum, Allen ; Kikinis, Ron ; Sapiro, Guillermo ; Halle, Michael

Author_Institution

Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA

Volume

6

Issue

2

fYear

2000

Firstpage

181

Lastpage

189

Abstract

We give an explicit method for mapping any simply connected surface onto the sphere in a manner which preserves angles. This technique relies on certain conformal mappings from differential geometry. Our method provides a new way to automatically assign texture coordinates to complex undulating surfaces. We demonstrate a finite element method that can be used to apply our mapping technique to a triangulated geometric description of a surface

Keywords

computational geometry; differential geometry; finite element analysis; image texture; angle preservation; automatic texture coordinate assignment; complex undulating surfaces; conformal mappings; conformal surface parameterization; differential geometry; explicit method; finite element method; simply connected surface mapping; sphere; texture mapping; triangulated geometric description; Computer graphics; Conformal mapping; Finite element methods; Geometry; Helium; Optical reflection; Partial differential equations; Rough surfaces; Surface roughness; Surface texture;

fLanguage

English

Journal_Title

Visualization and Computer Graphics, IEEE Transactions on

Publisher

ieee

ISSN

1077-2626

Type

jour

DOI

10.1109/2945.856998

Filename

856998