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- W2973974703 abstract "We study a new discretization of the Gaussian curvature for polyhedral surfaces. This discrete Gaussian curvature is defined on each conical singularity of a polyhedral surface as the quotient of the angle defect and the area of the Voronoi cell corresponding to the singularity. We divide polyhedral surfaces into discrete conformal classes using a generalization of discrete conformal equivalence pioneered by Feng Luo. We subsequently show that, in every discrete conformal class, there exists a polyhedral surface with constant discrete Gaussian curvature. We also provide explicit examples to demonstrate that this surface is in general not unique." @default.
- W2973974703 created "2019-09-26" @default.
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- W2973974703 date "2019-09-13" @default.
- W2973974703 modified "2023-09-27" @default.
- W2973974703 title "Discrete Yamabe problem for polyhedral surfaces" @default.
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- W2973974703 doi "https://doi.org/10.14279/depositonce-9001.3" @default.
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