Gaussian Restoration pyramid : Application of image restoration to Laplacian pyramid compression

An efficient non-orthogonal pyramid representation was proposed by Burt. However it has been stated in literature that the Laplacian sub bands of Burt pyramid have redundant information. In this paper, we propose a modified pyramid representation to reduce the redundancy in Laplacian sub bands. The proposed pyramid representation makes use of well studied de-blurring algorithm to get a prediction of blurred Gaussian images. The proposed pyramid is an improvement on Burt pyramid as it exhibits reduced sub-band frequency overlap, cross correlation and mutual information. The advantage of using this pyramid representation in image magnification and progressive image transmission (PIT) in noisy and unreliable networks is discussed here.