Spectral Conformal Parameterization
Patrick Mullen, Yiying Tong, Pierre Alliez, Mathieu Desbrun
In Computer Graphics Forum, 27(5), 2008.
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.
@article{Mullen:2008:SCP,
author = {Patrick Mullen and Yiying Tong and Pierre Alliez and Mathieu Desbrun},
title = {Spectral Conformal Parameterization},
journal = {Computer Graphics Forum},
volume = {27},
number = {5},
pages = {1487--1494},
year = {2008},
}
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