F-transform Representation of Nonlocal Operators with Applications to Image Restoration
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
F-transform Representation of Nonlocal Operators with Applications to Image Restoration
Original language description
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.
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
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OECD FORD branch
10200 - Computer and information sciences
Result continuities
Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Fuzzy Approaches for Soft Computing and Approximate Reasoning: Theories and Applications
ISBN
978-3-030-54340-2
Number of pages of the result
12
Pages from-to
217-229
Number of pages of the book
297
Publisher name
Springer International Publishing
Place of publication
Switzerland
UT code for WoS chapter
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