A selective review on Mumford-Shah minimizers

Antoine Lemenant (1)

1 LJLL - Laboratoire Jacques-Louis Lions

This 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.

Domaines: Mathématiques générales [math.GM]

Antoine Lemenant. A selective review on Mumford-Shah minimizers. Bollettino dell'Unione Matematica Italiana, 2016, 9, pp.69 - 113. ⟨10.1007/s40574-016-0056-2⟩. ⟨hal-01468371⟩