Annotating Simplices with a Homology Basis and Its Applications
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Publication:2904555
DOI10.1007/978-3-642-31155-0_17zbMath1357.68261arXiv1107.3793OpenAlexW1481962790MaRDI QIDQ2904555
Sergio Cabello, Chao Chen, Yusu Wang, Oleksiy Busaryev, Tamal Krishna Dey
Publication date: 14 August 2012
Published in: Algorithm Theory – SWAT 2012 (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1107.3793
General topology of complexes (57Q05) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)
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Persistent Laplacians: Properties, Algorithms and Implications ⋮ The compressed annotation matrix: an efficient data structure for computing persistent cohomology ⋮ A heuristic for short homology basis of digital objects ⋮ Computing multiparameter persistent homology through a discrete Morse-based approach ⋮ The Parameterized Complexity of Finding a 2-Sphere in a Simplicial Complex ⋮ An efficient algorithm for 1-dimensional (Persistent) path homology ⋮ Lexicographic optimal homologous chains and applications to point cloud triangulations
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