𝐶^{1,𝛼}-interior regularity for minimizers of a class of variational problems with linear growth related to image inpainting

Bildhauer, M.; Fuchs, M.; Tietz, C.

doi:10.1090/spmj/1393

$C^{1,\alpha }$-interior regularity for minimizers of a class of variational problems with linear growth related to image inpainting
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by M. Bildhauer, M. Fuchs and C. Tietz

St. Petersburg Math. J. 27 (2016), 381-392

DOI: https://doi.org/10.1090/spmj/1393

Published electronically: March 30, 2016

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Abstract:

A modification of the total variation image inpainting method is investigated. By using DeGiorgi type arguments, the partial regularity results established previously are improved to the $C^{1,\alpha }$ interior differentiability of solutions of this new variational problem.

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