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Journal Articles BIT Numerical Mathematics Year : 2022

Color image and video restoration using tensor CP decomposition

Abstract

This paper proposes a new approach to image and video restoration. This approach constructs a degradation model based on a tensor representation, where a color image is represented by a third-order tensor, and a video composed of color images is a fourth-order tensor. Applying tensor CP decomposition to our original problem leads to three subproblems. To solve those subproblems, we apply global LSQR algorithm, and a new algorithm based on Golub Kahan bidiagonalization. Some numerical tests are presented to show the effectiveness of the proposed methods.
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Dates and versions

hal-04409824 , version 1 (22-01-2024)

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A. Bentbib, Asmaa Khouia, Hassane Sadok. Color image and video restoration using tensor CP decomposition. BIT Numerical Mathematics, 2022, 62 (4), pp.1257-1278. ⟨10.1007/s10543-022-00910-6⟩. ⟨hal-04409824⟩
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