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Conformal surface parameterization for texture mapping

Publication ,  Journal Article
Haker, S; Angenent, S; Tannenbaum, A; Kikinis, R; Sapiro, G; Halle, M
Published in: IEEE Transactions on Visualization and Computer Graphics
April 1, 2000

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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Published In

IEEE Transactions on Visualization and Computer Graphics

DOI

ISSN

1077-2626

Publication Date

April 1, 2000

Volume

6

Issue

2

Start / End Page

181 / 189

Related Subject Headings

  • Software Engineering
  • 46 Information and computing sciences
  • 0802 Computation Theory and Mathematics
  • 0801 Artificial Intelligence and Image Processing
 

Citation

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Haker, S., Angenent, S., Tannenbaum, A., Kikinis, R., Sapiro, G., & Halle, M. (2000). Conformal surface parameterization for texture mapping. IEEE Transactions on Visualization and Computer Graphics, 6(2), 181–189. https://doi.org/10.1109/2945.856998
Haker, S., S. Angenent, A. Tannenbaum, R. Kikinis, G. Sapiro, and M. Halle. “Conformal surface parameterization for texture mapping.” IEEE Transactions on Visualization and Computer Graphics 6, no. 2 (April 1, 2000): 181–89. https://doi.org/10.1109/2945.856998.
Haker S, Angenent S, Tannenbaum A, Kikinis R, Sapiro G, Halle M. Conformal surface parameterization for texture mapping. IEEE Transactions on Visualization and Computer Graphics. 2000 Apr 1;6(2):181–9.
Haker, S., et al. “Conformal surface parameterization for texture mapping.” IEEE Transactions on Visualization and Computer Graphics, vol. 6, no. 2, Apr. 2000, pp. 181–89. Scopus, doi:10.1109/2945.856998.
Haker S, Angenent S, Tannenbaum A, Kikinis R, Sapiro G, Halle M. Conformal surface parameterization for texture mapping. IEEE Transactions on Visualization and Computer Graphics. 2000 Apr 1;6(2):181–189.

Published In

IEEE Transactions on Visualization and Computer Graphics

DOI

ISSN

1077-2626

Publication Date

April 1, 2000

Volume

6

Issue

2

Start / End Page

181 / 189

Related Subject Headings

  • Software Engineering
  • 46 Information and computing sciences
  • 0802 Computation Theory and Mathematics
  • 0801 Artificial Intelligence and Image Processing