Discrete Laplace Operator in the Space with a Fuzzy Partition

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F21%3AA2202BJG" target="_blank" >RIV/61988987:17610/21:A2202BJG - isvavai.cz</a>
Result on the web
<a href="https://www.atlantis-press.com/proceedings/ifsa-eusflat-agop-21/125960358" target="_blank" >https://www.atlantis-press.com/proceedings/ifsa-eusflat-agop-21/125960358</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2991/asum.k.210827.020" target="_blank" >10.2991/asum.k.210827.020</a>

Result language
angličtina
Original language name
Discrete Laplace Operator in the Space with a Fuzzy Partition
Original language description
Differential operators definitely play an important role in image processing tasks. One of the most frequently used operator for this purpose is the Laplace operator, usually defined as the divergence of a gradient of a function. Since images are considered as discrete objects, many applications require discrete version of this operator. But at the same time, these discrete Laplace operators should preserve certain properties known from the continuous case. Based on this fact, we present discrete variant of F-transform-based Laplace operator, satisfying such conditions. Moreover, Laplace operator can be also defined axiaomatically, throughout its certain properties. Therefore, we propose a construction of such operator from the other side, just with notion of the inner product of the current space and its desired properties.
Czech name
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Czech description
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Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
ISBN
978-94-6239-423-0
ISSN
2589-6644
e-ISSN
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Number of pages
6
Pages from-to
147-152
Publisher name
Atlantis Press
Place of publication
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Event location
Bratislava
Event date
Sep 19, 2021
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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