Restoration of motion blurred image with Lucy-Richardson algorithm

Jing Li; Zhao Hui Liu; Liang Zhou

doi:10.1117/12.2199337

8 October 2015 Restoration of motion blurred image with Lucy-Richardson algorithm

Jing Li, Zhao Hui Liu, Liang Zhou

Proceedings Volume 9675, AOPC 2015: Image Processing and Analysis; 967519 (2015) https://doi.org/10.1117/12.2199337
Event: Applied Optics and Photonics China (AOPC2015), 2015, Beijing, China

Abstract

Images will be blurred by relative motion between the camera and the object of interest. In this paper, we analyzed the process of motion-blurred image, and demonstrated a restoration method based on Lucy-Richardson algorithm. The blur extent and angle can be estimated by Radon transform algorithm and auto-correlation function, respectively, and then the point spread function (PSF) of the motion-blurred image can be obtained. Thus with the help of the obtained PSF, the Lucy-Richardson restoration algorithm is used for experimental analysis on the motion-blurred images that have different blur extents, spatial resolutions and signal-to-noise ratios (SNR’s). Further, its effectiveness is also evaluated by structural similarity (SSIM). Further studies show that, at first, for the image with a spatial frequency of 0.2 per pixel, the modulation transfer function (MTF) of the restored images can maintains above 0.7 when the blur extent is no bigger than 13 pixels. That means the method compensates low frequency information of the image, while attenuates high frequency information. At second, we fund that the method is more effective on condition that the product of the blur extent and spatial frequency is smaller than 3.75. Finally, the Lucy-Richardson algorithm is found insensitive to the Gaussian noise (of which the variance is not bigger than 0.1) by calculating the MTF of the restored image.

Citation Download Citation

Jing Li, Zhao Hui Liu, and Liang Zhou "Restoration of motion blurred image with Lucy-Richardson algorithm", Proc. SPIE 9675, AOPC 2015: Image Processing and Analysis, 967519 (8 October 2015); https://doi.org/10.1117/12.2199337

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