Spectral Conformal Parameterization
Identifieur interne : 000182 ( Main/Exploration ); précédent : 000181; suivant : 000183Spectral Conformal Parameterization
Auteurs : Patrick Mullen ; Yiying Tong [États-Unis] ; Pierre Alliez ; Mathieu DesbrunSource :
- Computer Graphics Forum [ 0167-7055 ] ; 2008-07.
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.
Url:
DOI: 10.1111/j.1467-8659.2008.01289.x
Affiliations:
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<front><div type="abstract" xml:lang="en">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.</div>
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