An a contrario approach for parameters estimation of a motion-blurred image

Authors:
Feng Xue;Quansheng Liu;Jacques Froment
Affiliations:
LMAM, Université de Bretagne Sud, Vannes, France and Sense Technology Ltd, Shenzhen, P.R. China;LMAM, Université de Bretagne Sud, Vannes, France and School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan, P.R. China;LMAM, Université de Bretagne Sud, Vannes, France
Venue:
EMMCVPR'07 Proceedings of the 6th international conference on Energy minimization methods in computer vision and pattern recognition
Year:
2007

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Abstract

The recovery of a motion-blurred image is an important illposed inverse problem. But this subject has not recently received lot of attention. We propose a probabilistic method for the estimation of motion parameters based on the geometrical characteristic of the Fourier spectrum. Indeed, the Fourier spectrum of the blurred image is made by the product of the original Fourier spectrum with an oriented cardinal sine function. The estimation of the parameters reduces to the detection of the direction and of the gap between oscillations of the Fourier spectrum. Using the Helmholtz principle, the maximum meaningful parallel alignments are detected in the frequency domain, and then the direction and the extent of the blur are identified by an adapted K-means cluster algorithm. Simulation results show that the approach is very promising.