Shear Smoothlet -- Anisotropic Multiscale Functions for Adaptive Representation of Images
Meirong Chen, Xinqi Fu, Jianshu Cao · 2014
Smooth let transform is an adaptive geometric multiscale representation for image approximation. It is an isotropic block oriented image analysis algorithm, one function is defined in each block, the function has characterized by location, scale, orientation, curvature and blur which can obtain an efficient representation of an image. However, Smooth let does not take the anisotropic feature of blocks into account. In this paper, a special class of functions called Shear Smooth let is proposed. Shear Smooth let has considered the anisotropic characteristic of blocks themselves according to introducing shear operation before executing Smooth let transform to an image. Final reconstructed images are obtained by calculating the average of all reconstructed images based on Shear Smooth let transform in each direction. Experimental results including visual quality and peak signal to noise radio both verify the effectiveness of the algorithm proposed in this paper.