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Fractional directional derivative and identification of blur parameters of motion-blurred image

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Abstract

The blur direction and extent of motion-blurred image, which is degraded by the relative motion between the camera and object scene, are needed in the methods of image restoration, such as blind deconvolution. The recently developed identification method is based on integer-order derivative, which can directly extract the blur angle and extent from blurred image itself. However, this method is sensitive to noise. As an extension to the fractional-order derivative, a noncausal fractional-order directional derivative operator is derived. Based on this new operator, a novel method identifying blur parameters is developed in this work. The performance comparison between the fractional-order and integer-order methods are also presented, which demonstrate that the former provides better immunity to noise and capacity to identify the motion-blur direction and extent.

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Acknowledgments

The work was supported by NSFC under Grants 61074161 and 61034005, SRFDP under Grant 20103218120014 and by Funding of Jiangsu Innovation Program for Graduate Education under Grants CXLX12_0157 and CXZZ12_0158, and the Fundamental Research Funds for the Central Universities.

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  1. Nanjing University of Aeronautics and Astronautics, 29 Yudao St, Nanjing, 210016, China

    Xiang Pan, Yongqiang Ye & Jianhong Wang

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  1. Xiang Pan
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  2. Yongqiang Ye
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  3. Jianhong Wang
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Correspondence to Yongqiang Ye.

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Pan, X., Ye, Y. & Wang, J. Fractional directional derivative and identification of blur parameters of motion-blurred image. SIViP 8, 565–576 (2014). https://doi.org/10.1007/s11760-013-0559-6

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  • DOI: https://doi.org/10.1007/s11760-013-0559-6

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