Data Structures and Algorithms

    

Image Deblurring: a Class of Matrices Approximating Toeplitz Matrices

Authors: Antonio Boccuto, Ivan Gerace, Valentina Giorgetti

We deal with the image deblurring problem. We assume that the blur mask has large dimensions. To restore the images, we propose a GNC-type technique, in which a convex approximation of the energy function is first minimized. The computational cost of the GNC algorithm depends strongly on the cost of such a first minimization. So, we propose of approximating the Toeplitz symmetric matrices in the blur operator by means of suitable matrices. Such matrices are chosen in a class of matrices which can be expressed as a direct sum between a circulant and a reverse circulant matrix.

Comments: 39 Pages.

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Submission history

[v1] 2022-01-24 13:33:00

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