F-transform Representation of Nonlocal Operators with Applications to Image Restoration

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F21%3AA22026CT" target="_blank" >RIV/61988987:17610/21:A22026CT - isvavai.cz</a>

Výsledek na webu

<a href="https://www.springer.com/gp/book/9783030543402" target="_blank" >https://www.springer.com/gp/book/9783030543402</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-030-54341-9" target="_blank" >10.1007/978-3-030-54341-9</a>

Jazyk výsledku

angličtina

Název v původním jazyce

F-transform Representation of Nonlocal Operators with Applications to Image Restoration

Popis výsledku v původním jazyce

In nonlocal operators, nonlocal operators define a new type of functionals that extend the ability of classical PDE-based algorithms in handling textures and repetitive structures. We showed that in the particular space with a fuzzy partition, the nonlocal Laplacean and partial derivatives can be represented by the F0- and F1-transforms. For the restoration problem specified by relatively large damaged areas, we propose a new total variation model with the F-transform-based nonlocal operators. We show that the proposed model together with the corresponding algorithm increase the quality of a (usually considered) patch-based searching algorithm.

Název v anglickém jazyce

F-transform Representation of Nonlocal Operators with Applications to Image Restoration

Popis výsledku anglicky

In nonlocal operators, nonlocal operators define a new type of functionals that extend the ability of classical PDE-based algorithms in handling textures and repetitive structures. We showed that in the particular space with a fuzzy partition, the nonlocal Laplacean and partial derivatives can be represented by the F0- and F1-transforms. For the restoration problem specified by relatively large damaged areas, we propose a new total variation model with the F-transform-based nonlocal operators. We show that the proposed model together with the corresponding algorithm increase the quality of a (usually considered) patch-based searching algorithm.

Druh

C - Kapitola v odborné knize

CEP obor

—

OECD FORD obor

10200 - Computer and information sciences

Projekt

<a href="/cs/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název knihy nebo sborníku

Fuzzy Approaches for Soft Computing and Approximate Reasoning: Theories and Applications

ISBN

978-3-030-54340-2

Počet stran výsledku

12

Strana od-do

217-229

Počet stran knihy

297

Název nakladatele

Springer International Publishing

Místo vydání

Switzerland

Kód UT WoS kapitoly

—