Minimal partitions and image classification using a gradient-free perimeter approximation

Nicolas Van Goethem, Antonio André Novotny, Samuel Amstutz
2014 Inverse Problems and Imaging  
In this paper we propose a new optimal partition algorithm and show applications to multilabel image classification problems. Possibly noisy and blurred greyscale and color images can be processed, with or without automatic update of the labels. Regularization is performed by a non standard approximation of the total interface length, which involves a system of uncoupled linear partial differential equations and shows Γ-converge properties in the set of characteristic functions. These good
more » ... ns. These good mathematical properties are recovered in the numerical convergence scheme. 2010 Mathematics Subject Classification. 49Q10,49Q20,49M25,35J05,35J25,65K10.
doi:10.3934/ipi.2014.8.361 fatcat:kst6mdpw35gzvlvjpchw33kptm