A Primal-to-Primal Discretization of Exterior Calculus on Polygonal Meshes (Unknown language)

in Symposium on Geometry Processing 2017- Posters; 7-8
Symposium on Geometry Processing 2017- Posters

Discrete exterior calculus (DEC) offers a coordinate-free discretization of exterior calculus especially suited for computations on curved spaces. We present an extended version of DEC on surface meshes formed by general polygons that bypasses the construction of any dual mesh and the need for combinatorial subdivisions. At its core, our approach introduces a polygonal wedge product that is compatible with the discrete exterior derivative in the sense that it obeys the Leibniz rule. Based on this wedge product, we derive a novel primal-primal Hodge star operator, which then leads to a discrete version of the contraction operator. We show preliminary results indicating the numerical convergence of our discretization to each one of these operators.

Commercial: €18.50 Academic: €6.50

Download for a fee

Document information


Table of contents conference proceedings

The table of contents of the conference proceedings is generated automatically, so it can be incomplete, although all articles are available in the TIB.

1
Sequentially-Defined Compressed Modes via ADMM
Houston, Kevin | 2017
3
DepthCut: Improved Depth Edge Estimation Using Multiple Unreliable Channels
Guerrero, Paul / Winnemöller, Holger / Li, Wilmot / Mitra, Niloy J. | 2017
5
Localized Manifold Harmonics for Spectral Shape Analysis
Melzi, Simone / Rodolà, Emanuele / Castellani, Umberto / Bronstein, Michael M. | 2017
7
A Primal-to-Primal Discretization of Exterior Calculus on Polygonal Meshes
Ptackova, Lenka / Velho, Luiz | 2017
9
Schrödinger Operator for Sparse Approximation of 3D Meshes
Choukroun, Yoni / Pai, Gautam / Kimmel, Ron | 2017
11
PCR: A Geometric Cocktail for Triangulating Point Clouds Beautifully Without Angle Bounds
Leitão, Gonçalo N. V. / Gomes, Abel J. P. | 2017

Similar titles