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Journal Articles Computer Graphics Forum Year : 2008

Spectral Conformal Parameterization

Patrick Mullen
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Yiying Tong
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Pierre Alliez
Mathieu Desbrun


We present a spectral approach to automatically and efficiently obtain discrete free-boundary conformal parameterizations of triangle mesh patches, without the common artifacts due to positional constraints on vertices and without undue bias introduced by sampling irregularity. High-quality parameterizations are computed through a constrained minimization of a discrete weighted conformal energy by finding the largest eigenvalue/eigenvector of a generalized eigenvalue problem involving sparse, symmetric matrices. We demonstrate that this novel and robust approach improves on previous linear techniques both quantitatively and qualitatively.
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inria-00334477 , version 1 (05-11-2008)


  • HAL Id : inria-00334477 , version 1


Patrick Mullen, Yiying Tong, Pierre Alliez, Mathieu Desbrun. Spectral Conformal Parameterization. Computer Graphics Forum, 2008, Eurographics Symposium on Geometry Processing, 27 (5), pp.1487--1494. ⟨inria-00334477⟩


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