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math.NA2025
Square-Domain Area-Preserving Parameterization for Genus-Zero and Genus-One Closed Surfaces
Shu-Yung Liu, Mei-Heng Yueh
The parameterization of closed surfaces typically requires either multiple charts or a non-planar domain to achieve a seamless global mapping. In this paper, we propose a numerical…
math.NA2025
Toroidal area-preserving parameterizations of genus-one closed surfaces
Marco Sutti, Mei-Heng Yueh
We consider the problem of computing toroidal area-preserving parameterizations of genus-one closed surfaces. We propose four algorithms based on Riemannian geometry: the projected…