Math @ Duke
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Publications [#264935] of Guillermo Sapiro
Papers Published
- 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, vol. 6 no. 2
(April, 2000),
pp. 181-189, Institute of Electrical and Electronics Engineers (IEEE), ISSN 1077-2626 [doi]
(last updated on 2025/02/02)
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.
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