Restoration of rotational motion blurred image based on Chebyshev polynomial interpolations

Tianxu Zhang; Hanyu Hong; Luxin Yan

doi:10.1117/12.833972

30 October 2009 Restoration of rotational motion blurred image based on Chebyshev polynomial interpolations

Tianxu Zhang, Hanyu Hong, Luxin Yan

Proceedings Volume 7497, MIPPR 2009: Medical Imaging, Parallel Processing of Images, and Optimization Techniques; 74970I (2009) https://doi.org/10.1117/12.833972
Event: Sixth International Symposium on Multispectral Image Processing and Pattern Recognition, 2009, Yichang, China

Abstract

The restoration of rotational motion blurred image involves a lot of interpolations operators in rectangular-to-polar transformation and its inversion of polar-to-rectangular. The technique of interpolation determines the quality of restoration and computational complexity. In this paper, we incorporate orthogonal chebyshev polynomials interpolations into the processing of restoration of rotational motion blurred image, in which the space-variant blurs are decomposed into a series of space-invariant blurs along the blurring paths, and the blurred gray-values of the discrete pixels of the blurring paths are calculated by using of orthogonal chebyshev polynomials' interpolations and the space-variant blurs can be removed along the blurring paths in the polar system. At same way, we use orthogonal chebyshev polynomials' interpolations to perform polar-to-rectangular transformation to put the restored image back to its original rectangular format. In order to overcome the interference of noise, an optimization restoration algorithm based on regularizations is presented, in which non-negative and edge-preserving smoothing are incorporated into the process of restoration. A series of experiments have been performed to test the proposed interpolation method, which show that the proposed interpolations are effective to preserve edges.

Citation Download Citation

Tianxu Zhang, Hanyu Hong, and Luxin Yan "Restoration of rotational motion blurred image based on Chebyshev polynomial interpolations", Proc. SPIE 7497, MIPPR 2009: Medical Imaging, Parallel Processing of Images, and Optimization Techniques, 74970I (30 October 2009); https://doi.org/10.1117/12.833972

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KEYWORDS

Image restoration

Image processing

Cameras

Image quality

Point spread functions

Convolution

Medical imaging

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