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• W2962738862 abstract "Computing injective mappings with low distortions on meshes is an important problem for its wide range of practical applications in computer graphics, geometric modeling and physical simulations. Such tasks as surface parametrization or shape deformation are often reduced to minimizing non-convex and non-linear geometric energies defined over triangulated domains. These energies are commonly expressed in a finite element manner as a weighted sum of distortion densities D over simplixes S:[MATHS HERE]where (2) enforces f to preserve orientation of each simplex, and (A, b) is a linear system of the given positional constraints. The orientation constraints are particularly important in parametrization problems, since they avoid undesirable foldover artifacts in the texture, while positional constraints are widely used in shape deformation applications, such as point-to-point deformations, deformations with fixed anchors, and more." @default.
• W2962738862 created "2019-07-30" @default.
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• W2962738862 date "2019-07-28" @default.
• W2962738862 modified "2023-09-24" @default.
• W2962738862 title "Multi-resolution approach to computing locally injective maps on meshes" @default.
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• W2962738862 doi "https://doi.org/10.1145/3306214.3338591" @default.
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