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Nonlocal Laplace Operator in Image Processing

The result's identifiers

  • Result code in 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>

  • Result on the web

    <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>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Nonlocal Laplace Operator in Image Processing

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2020

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Developments of Artificial Intelligence Technologies in Computation and Robotics

  • ISBN

    978-981-122-332-7

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

    956-963

  • Publisher name

    World Scientific

  • Place of publication

    Singapore

  • Event location

    Cologne

  • Event date

    Aug 18, 2020

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article