Homological reconstruction and simplification in R3

Author:

Attali Dominique,Bauer Ulrich,Devillers Olivier,Glisse Marc,Lieutier André

Funder

ANR

CG-Learning

Toposys

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Control and Optimization,Geometry and Topology,Computer Science Applications

Reference22 articles.

1. H. Edelsbrunner, Alpha shapes – a survey, in: R. van de Weygaert, G. Vegter, J. Ritzerveld, V. Icke (Eds.), Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings, Springer Verlag, in press.

2. Topological estimation using witness complexes;de Silva,2004

3. Finding the homology of submanifolds with high confidence from random samples;Niyogi;Discrete Comput. Geom.,2008

4. Smooth manifold reconstruction from noisy and non-uniform approximation with guarantees;Chazal;Comput. Geom.,2008

5. A sampling theory for compact sets in Euclidean space;Chazal;Discrete Comput. Geom.,2009

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Topological Simplification of Nested Shapes;Computer Graphics Forum;2022-08

2. Persistence cycles for visual exploration of persistent homology;IEEE Transactions on Visualization and Computer Graphics;2021

3. To cut or to fill;ACM Transactions on Graphics;2020-12-31

4. A persistent homological analysis of network data flow malfunctions;Journal of Complex Networks;2017-08-24

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