Calculus of Variations and Geometric Measure Theory

M. Carriero - A. Leaci - F. Tomarelli

A Survey on the Blake–Zisserman Functional

created by tomarelli on 02 Mar 2016


Published Paper

Inserted: 2 mar 2016

Journal: Milan Journal of Mathematics
Volume: 83
Number: 2
Pages: 397-420
Year: 2015
Doi: 10.1007/s00032-015-0246-x
Links: website of the journal


The aim of this work is to provide a concise survey of results about the Blake–Zisserman functional for image segmentation and inpainting. Moreover a refinement of the Almansi decomposition is shown for biharmonic functions in 2-dimensional open disks with crack-tip at the origin.

Keywords: calculus of variations, free discontinuity, Image segmentation, Inpainting, Almansi decomposition, Crack-tip