Spectral Conformal Parameterization

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

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