Restoration of multiple images with motion blur in different directions

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Abstract
Images degraded by motion blur can be restored when several blurred images are given, and the direction of mo- tion blur in each image is different. Given two motion blurred images, best restoration is obtained when the directions of motion blur in the two im- ages are orthogonal. Motion blur at different directions is common, for ex- ample, in the case of small hand-held digital cameras due to fast hand trembling and the light weight of the camera. Restoration examples are given on simulated data as well as on images with real motion blur. mation of the PSF (Point Spread Function) from two im- ages. However, it assumes a pure translation between the images, and uses the location of singularities in the fre- quency domain which are not stable. In this paper we describe how different images, each degraded by a motion blur in a different direction, can be used to generate a restored image. It is assumed that the motion blur can be described by a convolution with a one dimensional kernel. No knowledge is necessary regarding the actual motion blur other than its direction which is pre- computed either by one of the existing methods (9, 12), or using the scheme offered in this paper. The relative image displacements can be image translations and image rota- tions.

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