Multichannel regularized iterative restoration of image sequences

The recent advances in visual communications make restoration of image sequences an increasingly important problem. In addition, this problem finds applications in other fields such as robot guidance and target tracking. Restoring the individual frames of an image sequence independently is a suboptimal approach because the between frame relations of the image sequence are not explicitly incorporated into the restoration algorithm. In this paper we address this problem by proposing a family of multichannel algorithms that restore the multiple time frames (channels) simultaneously. This is accomplished by using a multichannel regularized formulation in which the regularization operator captures both within and between- frame (channel) properties of the image sequence. More specifically, this operator captures both the spatial within-frame smoothness and the temporal along the direction of the motion between-frame smoothness. We propose a number of different methods to define multichannel regularization operators and a family of algorithms to iteratively obtain the restored images. We also present experiments that demonstrate beyond any doubt that the proposed approach produces significant improvements over traditional independent frame restoration of image sequences.

[1]  Aggelos K. Katsaggelos,et al.  Iterative Image Restoration Algorithms , 1989 .

[2]  A.K. Katsaggelos,et al.  A general framework for frequency domain multi-channel signal processing , 1993, IEEE Trans. Image Process..

[3]  Nikolas P. Galatsanos,et al.  Least squares restoration of multichannel images , 1991, IEEE Trans. Signal Process..

[4]  R.W. Schafer,et al.  Constrained iterative restoration algorithms , 1981, Proceedings of the IEEE.

[5]  Aggelos K. Katsaggelos,et al.  A regularized iterative image restoration algorithm , 1991, IEEE Trans. Signal Process..

[6]  James M. Ortega,et al.  Iterative solution of nonlinear equations in several variables , 2014, Computer science and applied mathematics.

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

[8]  L. A. G. Dresel,et al.  Elementary Numerical Analysis , 1966 .

[9]  A. Murat Tekalp,et al.  Efficient multiframe Wiener restoration of blurred and noisy image sequences , 1992, IEEE Trans. Image Process..

[10]  Nikolas P. Galatsanos,et al.  Digital restoration of multichannel images , 1989, IEEE Trans. Acoust. Speech Signal Process..

[11]  Nikolas P. Galatsanos,et al.  Restoration of color images by multichannel Kalman filtering , 1991, IEEE Trans. Signal Process..

[12]  Aggelos K. Katsaggelos,et al.  Recursive displacement estimation and restoration of noisy-blurred image sequences , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[13]  Samuel D. Conte,et al.  Elementary Numerical Analysis , 1980 .

[14]  Nikolas P. Galatsanos,et al.  Regularized Multichannel Restoration Using Cross-Validation , 1995, CVGIP Graph. Model. Image Process..