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We present an approach to inform the reconstruction of a surface from a point scan through topological priors.
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“Topology preserving tissue classification with fast marching and topology templates”
Pierre-Louis Bazin and Dzung Pham · 2005
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Tamal Dey · 2006
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Michael Kazhdan, Matthew Bolitho and Hugues Hoppe · 2006
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Marie Samozino, Marc Alexa, Pierre Alliez and Mariette Yvinec · 2006
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Andrei Sharf et al · 2006
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“Stability of persistence diagrams”
David Cohen-Steiner, Herbert Edelsbrunner and John Harer · 2007
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“Editing the topology of 3D models by sketching”
Tao Ju, Qian-Yi Zhou and Shi-Min Hu · 2007
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“Interactive topology-aware surface reconstruction”
Andrei Sharf et al · 2007
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Dominique Attali et al · 2009
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David Cohen-Steiner, Herbert Edelsbrunner, John Harer and Yuriy Mileyko · 2010
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Tamal Dey et al · 2010
“State of the art in surface reconstruction from point clouds”
Matthew Berger et al · 2014
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Shizhe Zhou, Jiang Changyun and Sylvain Lefebvre · 2014
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“Statistical topological data analysis using persistence landscapes”
Peter Bubenik · 2015
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“Continuation of point clouds via persistence diagrams”
Marcio Gameiro, Yasuaki Hiraoka and Ippei Obayashi · 2016
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“Topology-controlled Reconstruction of Multi-labelled Domains from Cross-sections”
Zhiyang Huang, Ming Zou, Nathan Carr and Tao Ju · 2017
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“A roadmap for the computation of persistent homology”
Nina Otter et al · 2017
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