Nonlocal Laplace Operator in Image Processing

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F20%3AA210267P" target="_blank" >RIV/61988987:17610/20:A210267P - isvavai.cz</a>

Výsledek na webu

<a href="https://www.worldscientific.com/doi/10.1142/9789811223334_0115" target="_blank" >https://www.worldscientific.com/doi/10.1142/9789811223334_0115</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/9789811223334_0115" target="_blank" >10.1142/9789811223334_0115</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Nonlocal Laplace Operator in Image Processing

Popis výsledku v původním jazyce

Regularization is a principle, concerning a wide range of science domains. Several methods, using this technique, have been proposed. However, there are some limitations to the functionals used in regularization. To remove these, the idea is to employ nonlocal operators on weighted graphs in regularization process. In images, pixels have a specific organization expressed by their spatial connectivity. Therefore, a typical structure used to represent images is a graph. The problem is to choose the correct one, because the topology of graphs can be arbitrary and each type of graph is proper to different type of problem. In this work, we focus on method based on nonlocal Laplace operator, which has become increasingly popular in image processing. Moreover, we introduce the representation of F-transform based Laplace operator.

Název v anglickém jazyce

Nonlocal Laplace Operator in Image Processing

Popis výsledku anglicky

Regularization is a principle, concerning a wide range of science domains. Several methods, using this technique, have been proposed. However, there are some limitations to the functionals used in regularization. To remove these, the idea is to employ nonlocal operators on weighted graphs in regularization process. In images, pixels have a specific organization expressed by their spatial connectivity. Therefore, a typical structure used to represent images is a graph. The problem is to choose the correct one, because the topology of graphs can be arbitrary and each type of graph is proper to different type of problem. In this work, we focus on method based on nonlocal Laplace operator, which has become increasingly popular in image processing. Moreover, we introduce the representation of F-transform based Laplace operator.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název statě ve sborníku

Developments of Artificial Intelligence Technologies in Computation and Robotics

ISBN

978-981-122-332-7

ISSN

—

e-ISSN

—

Počet stran výsledku

8

Strana od-do

956-963

Název nakladatele

World Scientific

Místo vydání

Singapore

Místo konání akce

Cologne

Datum konání akce

18. 8. 2020

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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