Title
An Iterative Algorithm for Sparse Recovery of Missing Image Samples Using a New Similarity Index.
Abstract
This paper investigates the problem of recovering missing samples using methods based on sparse representation adapted especially for image signals. Instead of $l_2$-norm or Mean Square Error (MSE), a new perceptual quality measure is used as the similarity criterion between the original and the reconstructed images. The proposed metric called Convex SIMilarity (CSIM) index is a modified version of the Structural SIMilarity (SSIM) index which despite its predecessor, is convex and uni-modal. We also propose an iterative sparse recovery method based on a constrained $l_1$-norm minimization problem involving CSIM as the fidelity criterion. This optimization problem which is adopted for missing sample recovery of images is efficiently solved via an algorithm based on Alternating Direction Method of Multipliers (ADMM). Simulation results show the performance of the new similarity index as well as the proposed algorithm for missing sample recovery of test images.
Year
Venue
Field
2017
arXiv: Learning
Fidelity,Mean squared error,Structural similarity,Artificial intelligence,Optimization problem,Mathematical optimization,Pattern recognition,Iterative method,Similarity criterion,Sparse approximation,Regular polygon,Mathematics,Machine learning
DocType
Volume
Citations 
Journal
abs/1701.07422
0
PageRank 
References 
Authors
0.34
24
3
Name
Order
Citations
PageRank
Amirhossein Javaheri101.01
Hadi. Zayyani29615.51
Farokh Marvasti357372.71