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Topological Optimization and Optimal Transport by Filippo Santambrogio, Thierry Champion, Guillaume Carlier, Martin Rumpf, Édouard Oudet, Maïtine Bergounioux

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Blanche Buet, Gian Paolo Leonardi, and Simon Masnou

7 Discrete varifolds and surface approximation

Blanche Buet, Institut Camille Jordan, Université Lyon 1, 43 bd. du 11 nov. 1918, 69622 Villeurbanne, France, buet@math.univ-lyon1.fr

Gian Paolo Leonardi, Department of Physics, Informatics and Mathematics, University of Modena and Reggio Emilia Via Campi, 213/b, 41100Modena, Italy, gianpaolo.leonardi@unimore.it

Simon Masnou, Institut Camille Jordan, Université Lyon 1, 43 bd. du 11 nov. 1918, 69622 Villeurbanne, France,masnou@math.univ-lyon1.fr

Abstract: In this chapter, we give a brief account of the notion of discrete varifolds, which are general and flexible tools to represent in a common framework regular surfaces and a large category of discrete ...

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