A selective review on Mumford–Shah minimizers
Author(s) -
Antoine Lemenant
Publication year - 2016
Publication title -
bollettino dell unione matematica italiana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.423
H-Index - 28
eISSN - 2198-2759
pISSN - 1972-6724
DOI - 10.1007/s40574-016-0056-2
Subject(s) - sketch , connection (principal bundle) , presentation (obstetrics) , calculus (dental) , mathematics , fracture (geology) , computer science , mathematical economics , pure mathematics , geology , geometry , algorithm , medicine , paleontology , orthodontics , radiology
International audienceThis is a perhaps too long review paper on the Mumford-Shah functional, with particular interest in blow-up limits, low dimensions (2 and 3), and connection with fracture theory. It includes in particular a sketch proof of the 3D regularity result near minimal cones from my thesis, and a few more recent results that appeared in the last two years
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