Geodesic
Numerical image denoising and deblurring via an approximate weighted mean curvature flow model
Numerical methods and programming, Tome 25 (2024) no. 2, pp. 115-126

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A new mathematical model for image denoising and deblurring is proposed and numerically implemented. It is based on a geometric differential equation that describes motion of a level surface of its solution by the weighted mean curvature. The numerical experiments are carried out to demonstrate the computational effectiveness of the proposed technique in comparison with the weighted total variation flow and VH-regularization.
Keywords: denoising and deblurring, weighted mean curvature, geometric equation, numerical experiments.
Mots-clés : total variation 
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     author = {A. A. Timonov},
     title = {Numerical image denoising and deblurring via an approximate weighted mean curvature flow model},
     journal = {Numerical methods and programming},
     pages = {115--126},
     publisher = {mathdoc},
     volume = {25},
     number = {2},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VMP_2024_25_2_a0/}
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A. A. Timonov. Numerical image denoising and deblurring via an approximate weighted mean curvature flow model. Numerical methods and programming, Tome 25 (2024) no. 2, pp. 115-126. http://geodesic.mathdoc.fr/item/VMP_2024_25_2_a0/