1CS CALTECH - Computer Science Department (Computer Science Department California Institute of Technology 1200 E. California Boulevard MC 256-80 Pasadena, CA 91125 USA - United States)
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.
https://hal.inria.fr/inria-00334477 Contributor : Pierre AlliezConnect in order to contact the contributor Submitted on : Wednesday, November 5, 2008 - 6:08:33 PM Last modification on : Friday, February 4, 2022 - 3:25:38 AM Long-term archiving on: : Monday, June 7, 2010 - 10:01:41 PM