Shearlet theory has become a central tool in analyzing and representing 2D data with anisotropic features. Shearlet systems are systems of functions generated by one single generator with parabolic scaling, shearing, and translation operators applied to it, in much the same way wavelet systems are dyadic scalings and translations of a single function, but including a precise control of directio...

Light field acquisition technologies capture angular and spatial information of the scene. The spatial and angular information enables various post processing applications, e.g. 3D scene reconstruction, refocusing, synthetic aperture etc at the expense of an increased data size. In this paper, we present a novel prediction tool for compression of light field data acquired with multiple camera s...

This papers examines structural properties of the recently developed shearlet coorbit spaces in higher dimensions. We prove embedding theorems for subspaces of shearlet coorbit spaces resembling shearlets on the cone in three dimensions into Besov spaces. The results are based on general atomic decompositions of Besov spaces. Furthermore, we establish trace results for these subspaces with resp...

    Necessary conditions for  shearlet  and cone-adapted shearlet systems to be frames are presented with respect to the admissibility condition of generators.

Image denoising is a fundamental task in computer vision and image processing system with an aim of estimating the original by eliminating noise artefact from noise-corrupted version image. In this study, nonlocal means (NLM) algorithm NSST (non-subsampled shearlet transform) has been designed to surface computationally simple algorithm. Initially, employed decompose source into coarser finer l...

SAR images have been widely used in many fields such as military and remote sensing. So the suppression of the speckle has been an important research issues. To improve the visual effect of non-local means, generalized non-local (GNL) means with optimized pixel-wise weighting is applied to shrink the coefficients of non-subsample Shearlet transform (NSST) of SAR image. The new method can optimi...

in this paper, we give a necessary condition for function in l^2with its dual to generate a dual shearlet tight frame with respect to admissibility.