An adaptive sparse representation for remote sensing image based on combination of wavelet and adaptive directional filter

This paper presents an adaptive sparse representation scheme for the remote sensing image, the geometric structure of which is more complex than that of natural image. The presented scheme includes two main stages which are wavelet transform and adaptive directional filter which is designed based on a binary tree. The construction of the binary tree depends on the image geometric information in frequency domain. Besides the properties of multiscale, multidirectionality and nonredundancy, our scheme has an additional property named adaptation which is a particular characteristic. Experimental results show that, in the sense of signal to noise ratio and visual quality, the performance of the nonlinear approximation of our scheme for remote sensing image is better than most of the existing sparse representation schemes.