Wavelet Shrinkage Based Variational Image Decomposition Model
Min Li, Xiao Li Sun, Chen Xu · Advanced materials research · 2012
A new class of variational models based on Besov spaces B1,1s(s>0 ) and homogeneous Besov space E=B∞,∞-1for image decomposition is proposed. The proposed models can be regarded as generalizations of Aujol-Chambolle model. The associated minimizers of variational problems can be expressed by applying different shrinkage functions which depend on the wavelet scale to each wavelet coefficient. The wavelet based treatment simplifies computation of this class of variational models. Finally, we present numerical results on denoising of both real and remote sensing images.