Variable-growth total variation denoising

Prelegent(ci)

Wojciech Górny

Język referatu

angielski

Termin

6 listopada 2025 12:30

Pokój

p. 5070

Seminarium

Seminarium Zakładu Równań Fizyki Matematycznej

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Even though more than 30 years have passed since the seminal
Rudin--Osher--Fatemi (ROF) paper on total variation denoising, it still
remains relevant; however, it is known to suffer from artifacts such as
the staircasing effect. Many variants of the model have been proposed
with the aim of countering this. Recently, against the backdrop of
immense research output on double-phase problems in the mathematical
analysis community, a double-phase type integral functional, comprising
of TV and a weighted term of quadratic growth, was suggested as a
regularizer for image restoration. Here, we present a new adaptive
variant of the ROF denoising model based on that regularizer. It is
designed to reduce staircasing with respect to the classical ROF model,
while preserving the edges of the image in a similar fashion.

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