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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Bibliographic Details

Published in:	Computer graphics forum Vol. 40; no. 5; pp. 217 - 230
Main Authors:	Bunge, A., Botsch, M., Alexa, M.
Format:	Journal Article
Language:	English
Published:	Oxford Blackwell Publishing Ltd 01.08.2021
Subjects:	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 Access:	Get full text
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