Fast, robust total variation-based reconstruction of noisy, blurred images

Authors:
C. R. Vogel;M. E. Oman
Affiliations:
Dept. of Math. Sci., Montana State Univ., Bozeman, MT;-
Venue:
IEEE Transactions on Image Processing
Year:
1998

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Abstract

Tikhonov regularization with a modified total variation regularization functional is used to recover an image from noisy, blurred data. This approach is appropriate for image processing in that it does not place a priori smoothness conditions on the solution image. An efficient algorithm is presented for the discretized problem that combines a fixed point iteration to handle nonlinearity with a new, effective preconditioned conjugate gradient iteration for large linear systems. Reconstructions, convergence results, and a direct comparison with a fast linear solver are presented for a satellite image reconstruction application