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Computational Topology in Reconstruction, Mesh Generation, and Data Analysis.

. CCCG, Carleton University, Ottawa, Canada, (2014)

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Approximate medial axis as a voronoi subcomplex., and . Symposium on Solid Modeling and Applications, page 356-366. ACM, (2002)Robustness Issues in Surface Reconstruction., , and . International Conference on Computational Science (1), volume 2073 of Lecture Notes in Computer Science, page 658-662. Springer, (2001)Optimal homologous cycles, total unimodularity, and linear programming., , and . STOC, page 221-230. ACM, (2010)Visibility with Multiple Reflections., , , , and . SWAT, volume 1097 of Lecture Notes in Computer Science, page 284-295. Springer, (1996)Persistent Homology of Morse Decompositions in Combinatorial Dynamics., , , , , and . SIAM J. Appl. Dyn. Syst., 18 (1): 510-530 (2019)Provable surface reconstruction from noisy samples., and . Comput. Geom., 35 (1-2): 124-141 (2006)Delaunay triangulations approximate anchor hulls., , and . Comput. Geom., 36 (2): 131-143 (2007)Reconstructing curves with sharp corners., and . Comput. Geom., 19 (2-3): 89-99 (2001)Edge Contractions and Simplicial Homology, , , and . CoRR, (2013)Mutiscale Mapper: A Framework for Topological Summarization of Data and Maps., , and . CoRR, (2015)