Spectral Conformal Parameterization

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.

• Type: Journal
• Year: 2008
• Where: CGF
• Authors: Patrick Mullen, Yiying Tong, Pierre Alliez, Mathieu Desbrun
• Keywords: CGF 2008, Free-boundary Conformal Parameterizations, Generalized Eigenvalue Problem, Spectral Approach