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ASSESSING DISSIMILARITY OF RANDOM SETS THROUGH CONVEX COMPACT APPROXIMATIONS, SUPPORT FUNCTIONS AND ENVELOPE TESTS

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F16%3A00306581" target="_blank" >RIV/68407700:21230/16:00306581 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.5566/ias.1490" target="_blank" >http://dx.doi.org/10.5566/ias.1490</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.5566/ias.1490" target="_blank" >10.5566/ias.1490</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    ASSESSING DISSIMILARITY OF RANDOM SETS THROUGH CONVEX COMPACT APPROXIMATIONS, SUPPORT FUNCTIONS AND ENVELOPE TESTS

  • Original language description

    In recent years random sets were recognized as a valuable tool in modelling different processes from fields like biology, biomedicine or material sciences. Nevertheless, the full potential of applications has not still been reached and one of the main problems in advancement is the usual inability to correctly differentiate between underlying processes generating real world realisations. This paper presents a measure of dissimilarity of stationary and isotropic random sets through a heuristic based on convex compact approximations, support functions and envelope tests. The choice is justified through simulation studies of common random models like Boolean and Quermass-interaction processes.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GP13-05466P" target="_blank" >GP13-05466P: Stochastic modelling and statistical analysis of random sets</a><br>

  • Continuities

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

Others

  • Publication year

    2016

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Image Analysis and Stereology

  • ISSN

    1580-3139

  • e-ISSN

  • Volume of the periodical

    35

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    SI - SLOVENIA

  • Number of pages

    13

  • Pages from-to

    181-193

  • UT code for WoS article

    000391111600005

  • EID of the result in the Scopus database