Conformal surface parameterization for texture mapping

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

doi:10.1109/2945.856998

Conformal surface parameterization for texture mapping

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

Research output: Contribution to journal › Article › peer-review

274 Scopus citations

Abstract

In this paper, 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.

Original language	English (US)
Pages (from-to)	181-189
Number of pages	9
Journal	IEEE Transactions on Visualization and Computer Graphics
Volume	6
Issue number	2
DOIs	https://doi.org/10.1109/2945.856998
State	Published - Apr 2000
Externally published	Yes

All Science Journal Classification (ASJC) codes

Software
Signal Processing
Computer Vision and Pattern Recognition
Computer Graphics and Computer-Aided Design

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10.1109/2945.856998

Cite this

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abstract = "In this paper, 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.",

author = "Steven Haker and Sigurd Angenent and Allen Tannenbaum and Ron Kikinis and Guillermo Sapiro and Michael Halle",

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AU - Haker, Steven

AU - Angenent, Sigurd

AU - Tannenbaum, Allen

AU - Kikinis, Ron

AU - Sapiro, Guillermo

AU - Halle, Michael

PY - 2000/4

Y1 - 2000/4

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AB - In this paper, 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.

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Conformal surface parameterization for texture mapping

Abstract

All Science Journal Classification (ASJC) codes

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