A chromaticity-brightness model for color images denoising in a Meyer's "u plus v" framework

作者：Ferreira Rita; Fonseca Irene^*; Mascarenhas M Luisa

来源：Calculus of Variations and Partial Differential Equations, 2017, 56(5): 140.

DOI：10.1007/s00526-017-1223-8

A variational model for imaging segmentation and denoising color images is proposed. The model combines Meyer's "u+ v" decomposition with a chromaticity-brightness framework and is expressed by a minimization of energy integral functionals depending on a small parameter epsilon > 0. The asymptotic behavior as epsilon -> 0(+) is characterized, and convergence of infima, almost minimizers, and energies are established. In particular, an integral representation of the lower semicontinuous envelope, with respect to the L1-norm, of functionals with linear growth and defined for maps taking values on a certain compact manifold is provided. This study escapes the realm of previous results since the underlying manifold has boundary, and the integrand and its recession function fail to satisfy hypotheses commonly assumed in the literature. The main tools are Gamma-convergence and relaxation techniques.

• 出版日期2017-10
• 单位KAUST