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

277 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

Access to Document

10.1109/2945.856998

Cite this

@article{a373621a3ff94bada0442b331bf7ffd2,

title = "Conformal surface parameterization for texture mapping",

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",

year = "2000",

month = apr,

doi = "10.1109/2945.856998",

language = "English (US)",

volume = "6",

pages = "181--189",

journal = "IEEE Transactions on Visualization and Computer Graphics",

issn = "1077-2626",

publisher = "IEEE Computer Society",

number = "2",

}

TY - JOUR

T1 - Conformal surface parameterization for texture mapping

AU - Haker, Steven

AU - Angenent, Sigurd

AU - Tannenbaum, Allen

AU - Kikinis, Ron

AU - Sapiro, Guillermo

AU - Halle, Michael

PY - 2000/4

Y1 - 2000/4

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/0034172130

UR - https://www.scopus.com/pages/publications/0034172130#tab=citedBy

U2 - 10.1109/2945.856998

DO - 10.1109/2945.856998

M3 - Article

AN - SCOPUS:0034172130

SN - 1077-2626

VL - 6

SP - 181

EP - 189

JO - IEEE Transactions on Visualization and Computer Graphics

JF - IEEE Transactions on Visualization and Computer Graphics

IS - 2

ER -

Conformal surface parameterization for texture mapping

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this