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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Veröffentlicht in:	Computer graphics forum Jg. 40; H. 5; S. 217 - 230
Hauptverfasser:	Bunge, A., Botsch, M., Alexa, M.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Oxford Blackwell Publishing Ltd 01.08.2021
Schlagworte:	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
Online-Zugang:	Volltext
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