Analysis of a New Variational Model to Restore Point-Like and Curve-Like Singularities in Imaging

作者：Aubert Gilles; Blanc Feraud Laure; Graziani Daniele^*

来源：Applied Mathematics and Optimization, 2013, 67(1): 73-96.

DOI：10.1007/s00245-012-9181-1

• Biological images
• Nonsmooth convex optimization
• l(1)-Minimization
• Nesterov scheme
• Divergence-measure fields
• p-Capacity
• Relaxation

The paper is concerned with the analysis of a new variational model to restore point-like and curve-like singularities in biological images. To this aim we investigate the variational properties of a suitable energy which governs these pathologies. Finally in order to realize numerical experiments we minimize, in the discrete setting, a regularized version of this functional by fast descent gradient scheme.

• 出版日期2013-2
• 单位INRIA