Restoration of multispectral images distorted by spatially nonuniform camera motion

The majority of known methods for restoration of distorted multispectral images use a model of blur as the convolution of the initial image with a uniform kernel. However, the image blur in real low-light conditions is often spatially nonuniform, since the camera in an actual shoot is shaken and rotated in three dimensions while its shutter is open. A method for “blind” locally adaptive image restoration in the domain of sliding orthogonal transform is proposed. It is assumed that the signal blur operator is spatially homogeneous in a small-sized sliding window. The known approaches to the restoration of color images blurred by spatially nouniform camera motion are compared to the proposed algorithm.

[1]  William T. Freeman,et al.  Analyzing spatially-varying blur , 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[2]  Jiaya Jia,et al.  High-quality motion deblurring from a single image , 2008, SIGGRAPH 2008.

[3]  William T. Freeman,et al.  Removing camera shake from a single photograph , 2006, SIGGRAPH 2006.

[4]  S. B. Kang,et al.  Image deblurring using inertial measurement sensors , 2010, SIGGRAPH 2010.

[5]  Jan Flusser,et al.  Multichannel blind iterative image restoration , 2003, IEEE Trans. Image Process..

[6]  L. Lucy An iterative technique for the rectification of observed distributions , 1974 .

[7]  B. R. Hunt,et al.  Karhunen-Loeve multispectral image restoration, part I: Theory , 1984 .

[8]  William H. Richardson,et al.  Bayesian-Based Iterative Method of Image Restoration , 1972 .

[9]  Jean Ponce,et al.  Non-uniform Deblurring for Shaken Images , 2012, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[10]  G. Cristóbal,et al.  Fast recursive algorithms for short-time discrete cosine transform , 1999 .

[11]  Frédo Durand,et al.  Understanding and evaluating blind deconvolution algorithms , 2009, CVPR.

[12]  R. Mersereau,et al.  Iterative methods for image deblurring , 1990 .

[13]  Dana H. Brooks,et al.  Electrical imaging of the heart , 1997, IEEE Signal Process. Mag..

[14]  Vitaly Kober,et al.  Fast algorithms for the computation of sliding discrete sinusoidal transforms , 2004, IEEE Transactions on Signal Processing.

[15]  Michael S. Brown,et al.  Richardson-Lucy Deblurring for Scenes under a Projective Motion Path , 2011, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[16]  Aggelos K. Katsaggelos,et al.  Digital image restoration , 2012, IEEE Signal Process. Mag..

[17]  Yitzhak Yitzhaky,et al.  Identification of Blur Parameters from Motion Blurred Images , 1997, CVGIP Graph. Model. Image Process..

[18]  Alexander A. Sawchuk,et al.  Space-variant image restoration by coordinate transformations* , 1974 .