Mullen, PatrickTong, YiyingAlliez, PierreDesbrun, Mathieu2015-02-212015-02-2120081467-8659https://doi.org/10.1111/j.1467-8659.2008.01289.xWe 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.10.1111/j.1467-8659.2008.01289.x1487-1494