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Gradient-based image deconvolution

[+] Author Affiliations
Heyan Huang

Jilin University, School of Mathematics, Changchun 130012, China

Hang Yang

Changchun Institute of Optics Fine Mechanics and Physics, Chinese Academy of Science, Changchun 130033, China

Siliang Ma

Jilin University, School of Mathematics, Changchun 130012, China

J. Electron. Imaging. 22(1), 013006 (Jan 07, 2013). doi:10.1117/1.JEI.22.1.013006
History: Received April 8, 2012; Revised November 14, 2012; Accepted December 5, 2012
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Abstract.  Image restoration and deconvolution from blurry and noisy observation is known to be ill-posed. To stabilize the recovery, total variation (TV) regularization is often utilized for its beneficial edge in preserving the image’s property. We take a different approach of TV regularization for image restoration. We first recover horizontal and vertical differences of images individually through some successful deconvolution algorithms. We restore horizontal and vertical difference images separately so that each is more sparse or compressible than the corresponding original image with a TV measure. Then we develop a novel deconvolution method that recovers the horizontal and vertical gradients, respectively, and then estimate the original image from these gradients. Various experiments that compare the effectiveness of the proposed method against the traditional TV methods are presented. Experimental results are provided to show the improved performance of our method for deconvolution problems.

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Citation

Heyan Huang ; Hang Yang and Siliang Ma
"Gradient-based image deconvolution", J. Electron. Imaging. 22(1), 013006 (Jan 07, 2013). ; http://dx.doi.org/10.1117/1.JEI.22.1.013006


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