Deblurring filter design using second fundamental form of image surface
Abstract
High resolution deblurring by one step convolution of initial image with estimated inverse point spread function (IPSF) is offered. The IPSF is found basing on geometric properties of image surface characteristic in the manner of the second fundamental form (SFF). It was shown that the SFF can be used for blur elimination by simple subtraction of the SFF value from image signal. To reduce the influence of fluctuations on the form of the blur function the regularization was applied, which minimizes the func-tional area in the form of a curved surface.References
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2. Jiang M. Development of blind image deconvolution and its applications / M. Jiang, G. Wang // J. of X-Ray Sc. and Tech.
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3. Li X. Nonlinear diffusion with multiple edginess thresholds / X. Li T. Chen // Pattern Recognition. — 1994. — № 27. —
P. 1029—1037.
4. Gilboa G. Image Enhancement and Denoising by Complex Diffusion Processes / G. Gilboa, N. Sochen, Y. Zeevi // IEEE
Trans. on Pattern Analysis and Machine Intelligence. — 2004. — № 26. — P. 1020—1036.
5. Osher S. J. Feature-Oriented Image Enhancement Using Shock Filters / S. J. Osher, L. I. Rudin // SIAM J. Numerical
Analysis. — 1990. — № 27. — P. 919—940.
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Image Process. — 2004. — № 13. — P. 1345—1357.
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— № 16. — P. 1101—1111.
12. Zhu W. Image denoising using mean curvature of image surface / W. Zhu, T. Chan // SIAM J. Imaging Sci. — 2012. —
№ 5(1). — P. 1—32.
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[1]
R. N. Kvietnyi, O. Y. Sofyna, and Y. A. Buniak, “Deblurring filter design using second fundamental form of image surface”, Вісник ВПІ, no. 4, pp. 84–88, Aug. 2013.
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