Multiscale Image Restoration and Reconstruction in the Framework of Variation
Limin Tang · Dianzi xuebao · 2013
By minimizing the energy functional,we can obtain the variational image decomposition which decomposes image into different characteristic components,and can be used for image restoration and reconstruction.An idea of multiscale image restoration and reconstruction in the framework of variation is proposed.Based on this idea,firstly,a single-parameter(BV,G,E) trituple decomposition model is proposed,and the relationship between the parameter and the scale of each component is studied theoretically.And then,by replacing the parameter with a binary sequence,we achieve a multiscale(BV,G,E)decomposition which can decompose an image into a sequence of image structure,texture and noise.The convergence of this multiscale decomposition is proved,and an efficient numerical method based on the duality theory and alternate iteration algorithm is introduced to solve it.At last,the proposed multiscale(BV,G,E)decomposition is applied for image restoration and reconstruction.Numerical results support the theoretical results and show that the proposed model is efficient for multiscale image restoration and reconstruction,and is superior to some other decomposition models.