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Topological Algorithms

Miao Jin (), Xianfeng Gu, Ying He and Yalin Wang
Additional contact information
Miao Jin: University of Louisiana, Centre for Advanced Computer Studies
Xianfeng Gu: State University of New York
Ying He: Nanyang Technological University, School of Computer Science and Engineering
Yalin Wang: Arizona State University, School of Computing, Informatics and Decision Systems Engineering

Chapter Chapter 2 in Conformal Geometry, 2018, pp 11-18 from Springer

Abstract: Abstract This chapter introduces halfedge data structure, a commonly used data structure in geometric software to efficiently represent piecewise linear triangular meshes, fundamental topological concepts and corresponding computational algorithms including cut graph, fundamental domain, homotopy, homology group basis, and canonical homotopy group generators.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-75332-4_2

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DOI: 10.1007/978-3-319-75332-4_2

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