Article detail · 2016
Phase and TV Based Convex Sets for Blind Deconvolution of Microscopic Images
IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING
- Year
- 2016
- ISSN
1932-4553- Type
- article
Data source split
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Abstract
English (OpenAlex)
In this paper, two closed and convex sets for blind deconvolution problem are proposed. Most blurring functions in microscopy are symmetric with respect to the origin. Therefore, they do not modify the phase of the Fourier transform (FT) of the original image. As a result blurred image and the original image have the same FT phase. Therefore, the set of images with a prescribed FT phase can be used as a constraint set in blind deconvolution problems. Another convex set that can be used during the image reconstruction process is the Epigraph Set of Total Variation (ESTV) function. This set does not need a prescribed upper bound on the Total Variation (TV) of the image. The upper bound is automatically adjusted according to the current image of the restoration process. Both the TV of the image and the blurring filter are regularized using the ESTV set. Both the phase information set and the ESTV are closed and convex sets. Therefore they can be used as a part of any blind deconvolution algorithm. Simulation examples are presented.
Topics
- Image Processing Techniques and Applications
- Advanced Image Processing Techniques
- Photoacoustic and Ultrasonic Imaging
Primary topic Image Processing Techniques and Applications