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- W2057184928 abstract "Conformal deformations are infinitesimal scale-rotations, which can be parameterized by quaternions. The condition that such a quaternion field gives rise to a conformal deformation is nonlinear and in any case only admits Möbius transformations as solutions. We propose a particular decoupling of scaling and rotation which allows us to find near to conformal deformations as minimizers of a quadratic, convex Dirichlet energy. Applied to tetrahedral meshes we find deformations with low quasiconformal distortion as the principal eigenvector of a (quaternionic) Laplace matrix. The resulting algorithms can be implemented with highly optimized standard linear algebra libraries and yield deformations comparable in quality to far more expensive approaches." @default.
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- W2057184928 date "2015-07-27" @default.
- W2057184928 modified "2023-10-03" @default.
- W2057184928 title "Close-to-conformal deformations of volumes" @default.
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- W2057184928 doi "https://doi.org/10.1145/2766916" @default.
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