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Fidelity metrics between curves and surfaces: currents, varifolds, and normal cycles

Nicolas Charona; Benjamin Charlierb,c; Joan Glaunèsd; Pietro Gorie; Pierre Roussillonf    aJohns Hopkins University, Center of Imaging Sciences, Baltimore, MD, United StatesbIMAG, Univ. Montpellier, CNRS, Montpellier, FrancecInstitut du Cerveau et de la Moëlle Épinière, ARAMIS, Paris, FrancedMAP5, Université Paris Descartes, Paris, FranceeTélécom ParisTech, LTCI, équipe IMAGES, Paris, FrancefENS Cachan, CNRS, Université Paris-Saclay, CMLA, Cachan, France

Abstract

This chapter provides an overview of some mathematical and computational models that have been proposed over the past few years for defining data attachment terms on shape spaces of curves or surfaces. ...

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