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Stability of the interval wavelet transform

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F09%3A%230000223" target="_blank" >RIV/46747885:24510/09:#0000223 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Stability of the interval wavelet transform

  • Original language description

    In this paper, we compare condition numbers of wavelet transforms for various constructions and we show that wavelet bases from [D. Černá, V. Finěk: Optimized Construction of Biorthogonal Spline-Wavelets] outperform the others from the viewpoint of numerical stability of wavelet transform. Furthermore, we use the constructed wavelet bases for wavelet image compression and we show that the error of the compression is smaller for the discrete wavelet transform with derived edge filters than for other methods using an extension of an image.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/LC06024" target="_blank" >LC06024: Jaroslav Hájek Center for Theoretical and Applied Statistics</a><br>

  • Continuities

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

Others

  • Publication year

    2009

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Workshop of the Jaroslav Hájek Center

  • ISBN

    9788021051003

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

  • Publisher name

    Masarykova univerzita Brno

  • Place of publication

    Brno

  • Event location

    Litomyšl

  • Event date

    Sep 23, 2009

  • Type of event by nationality

    CST - Celostátní akce

  • UT code for WoS article