Regularization te hniques for the numeri al solution of nonlinear inverse s attering problems in two spa e dimensions are dis ussed. Assuming that the boundary of a s atterer is its most prominent feature, we exploit as model the lass of artoon-like fun tions. Sin e fun tions in this lass are asymptoti ally optimally sparsely approximated by shearlet frames, we onsider shearlets as a means for ...

Article history: Received 25 October 2015 Received in revised form 28 March 2017 Accepted 13 May 2017 Available online 31 May 2017 In this paper, we propose a robust local descriptor for face recognition. It consists of two components, one based on a shearlet-decomposition and the other on local binary pattern (LBP). Shearlets can completely analyze the singular structures of piecewise smooth i...

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...

T2* and quantitative susceptibility mapping (QSM) of magnetic resonance imaging (MRI) images provide different type inner structure information of scanned organs. If they can be properly fused into one set, the details of the scaned organ can be revealed more clearly. In this paper, a 3D MRI image fusion method based on 3D compactly supported shearlet transform (3D-CSST) and 3D dual tree compac...

One open challenge in face recognition (FR) is the single training sample per subject. This paper addresses this problem through a novel approach called Shearlet Network (SN) which takes advantage of the sparse representation (SR) properties of shearlets in biometric applications, specifically, for face coding and recognition. Shearlets are derived from wavelets with composite dilations, a meth...

The analysis and detection of edges and interface boundaries is a fundamental problem in applied mathematics and image processing. In the study of the wave equation, for example, one is interested in the evolution of moving fronts; in image processing and computer vision, the detection and analysis of edges is an essential task for applications such as shape recognition, image enhancement and c...