Abstract
Imaging restoration is an essential step in hybrid optical and image processing system which relays on poor optics. The poor optics makes the blur ill-conditioned and turns the deblurring process difficult and unstable. Recently the idea of parallel optics (PO) was introduced. In the parallel optics setup the optical system is composed of a main system and an auxiliary system. The auxiliary system is designed to improve the stability of the deblurring process by improving the condition number of the blurring operator. In this paper we show that in one such system the post processing acts as a noise filter hence allows to work with noisy data in the auxiliary channel. Using the singular value decomposition we derive analytical limit for the difference in SNR requirements of the auxiliary channel relative to that of the main channel. The gap between the SNR requirements of the two systems is analyzed theoretically and proved to be as large as 27.68 [db]. Image restoration comparison on simulations is performed between a blurred/noisy pair with average SNR gap of 20 [db] and a system without an auxiliary system. The average Mean Square Error Improvement Factor (MSEIF) achieved by the blurred/noisy pair, was 13.9 [db] higher than the system without a noisy auxiliary system.
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References
Dowski, E.R., Chathey, T.: Extended depth of field through wave-front coding. App. Opt. 34(11), 1859 (1995)
Demenikov, M., Findlay, E., Harvey, A.R.: Miniaturization of zoom lenses with a single moving element. Opt. Express 17(8), 6118 (2009)
Shabtay, G., Goldenberg, E., Dery, E.: Imaging system with improved image quality and associated methods US patent 2009/122150 A1
Guichard, F., et al.: Extended depth-of-field using sharpness transport across color channels. In: Proc. SPIE 7250, 72500N (2009)
Muyo, G., et al.: Infrared imaging with a wavefront-coded singlet lens. Opt. Express 17(23), 21118 (2009)
Nitta, K., et al.: Image reconstruction for thin observation module by bound optics by using the iterative backprojection method. App. Opt. 45(13), 2893–2900 (2006)
Duparr, J.W., et al.: Ultra thin camera based on artificial apposition compound eyes, http://www.suss-microoptics.com/downloads/Publications/MOC-04.pdf
Ng, R., et al.: Light field photography with hand held Plenoptic camera, Stanford Tech Report CTSR 2005-02
Kidjer, M.J.: Principles of lens design. In: SPIE Proc., CR4, pp. 30–52 (1992)
Klapp, I., Mendlovic, D.: Improvement of matrix condition of Hybrid, space variant optics by the means of Parallel Optics design. Opt. Express 17, 11673–11689 (2009)
Klapp, I., Mendlovic, D.: Trajectories in Parallel Optics (submitted to JOSA)
Klapp, I., Mendlovic, D.: Optical Design for Improving Matrix Condition, SRS, OSA (2009) paper STuA7
Kopeika, N.S.: A system Engineering approach to imaging, pp. 517–520 (SPIE, 1998)
Jain, A.K.: Fundamentals of digital image processing, p. 59. Prentice Hall, Englewood Cliffs (1989)
Klapp, I., Mendlovic, D.: Blurred/noisy image pairs in Parallel Optics (to be submitted)
Bertero, M., Boccacci, P.: Introduction to inverse problems in imaging (IOP, 1998). Waterman, M.S.: Identification of Common Molecular Subsequences
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Klapp, I., Sochen, N., Mendlovic, D. (2012). Deblurring Space-Variant Blur by Adding Noisy Image. In: Bruckstein, A.M., ter Haar Romeny, B.M., Bronstein, A.M., Bronstein, M.M. (eds) Scale Space and Variational Methods in Computer Vision. SSVM 2011. Lecture Notes in Computer Science, vol 6667. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24785-9_14
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DOI: https://doi.org/10.1007/978-3-642-24785-9_14
Publisher Name: Springer, Berlin, Heidelberg
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