The Diamond Laplace for Polygonal and Polyhedral Meshes

We introduce a construction for discrete gradient operators that can be directly applied to arbitrary polygonal surface as well as polyhedral volume meshes. The main idea is to associate the gradient of functions defined at vertices of the mesh with diamonds: the region spanned by a dual edge togeth...

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Vydané v:	Computer graphics forum Ročník 40; číslo 5; s. 217 - 230
Hlavní autori:	Bunge, A., Botsch, M., Alexa, M.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Oxford Blackwell Publishing Ltd 01.08.2021
Predmet:	Apexes CCS Concepts Computer graphics Computing methodologies → Mesh models DDFV Diamonds Discrete Differential Geometry Discrete Laplace Operator Divergence Mathematics of computing → Discretization Operators (mathematics) Polygons
ISSN:	0167-7055, 1467-8659
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