@article{a23e14a4611f4635ada2c39133feff94,
title = "A new total variation model for restoring blurred and speckle noisy images",
abstract = "In coherent imaging systems, such as the synthetic aperture radar (SAR), the observed images are affected by multiplicative speckle noise. This paper proposes a new variational model based on I-divergence for restoring blurred images with speckle noise. The model minimizes the sum of an I-divergence data fidelity term, a new quadratic penalty term based on the statistical property of the noise and the total-variation regularization term. The existence and uniqueness of a solution of the proposed model with some other characteristics are analyzed. Furthermore, an iterative algorithm is introduced to solve the proposed variational model. Our numerical experiments indicate that the proposed method performs favorably.",
keywords = "I-divergence, Speckle noise, deblurring, total variation",
author = "Jian Lu and Yupeng Chen and Yuru Zou and Lixin Shen",
note = "Funding Information: The authors would like to thank the anonymous referees for their detailed comments and suggestions that led to a significant improvement of the manuscript and T. Zeng and Y. Wen for providing the source codes of DZ-method and HNW-method, respectively. This work was supported by the US National Science Foundation #DMS-1522332, the National Natural Science Foundation of China #61373087, #11201312, #61472257, #61272252, the Foundation for Distinguished Young Teachers in Guangdong, China #Yq2013144, the Natural Science Foundation of Guangdong, China #2015A030313557, #2015A030313550, Guangdong Provincial Science and Technology Plan Project #2013B040403005, and the HD Video R & D Platform for Intelligent Analysis and Processing in Guangdong Engineering Technology Research Center of Colleges and Universities #GCZX-A1409. Publisher Copyright: {\textcopyright} 2017 World Scientific Publishing Company.",
year = "2017",
month = mar,
day = "1",
doi = "10.1142/S0219691317500096",
language = "English (US)",
volume = "15",
journal = "International Journal of Wavelets, Multiresolution and Information Processing",
issn = "0219-6913",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "2",
}