One of the most remarkable properties of the continuous curvelet and shearlet transforms is their sensitivity to the directional regularity of functions and distributions. As a consequence of this property, these transforms can be used to characterize the geometry of edge singularities of functions and distributions by their asymptotic decay at fine scales. This ability is a major extension of ...

Several empirical results appeared in the literature during the last decade have shown that it is often possible to separate images and other multidimensional data into geometrically distinct constituents. A rigorous mathematical analysis of the geometric separation problem in the two-dimensional setting was recently introduced by Donoho and Kutyniok [6], who proposed a mathematical framework t...

Eye diseases such as diabetic retinopathy (DR) affect a large number of the population. Retinal fundus photographs are widely used in the diagnosis and treatment of various eye diseases in clinics. It is also one of the main resources for mass screening of diabetic retinopathy. The resulting retinal images must be examined by an expert human grader in a cumbersome and time-consuming diagnosis p...

Image plays an important role in this present technological world which further leads to progress in multimedia communication, various research field related to image processing, etc. The images are corrupted due to various noises which occur in nature and poor performance of electronic devices. The various types of noise patterns observed in the image are Gaussian, salt and pepper, speckle etc...