Hurst exponent estimation of fractional surfaces for mammogram images analysis
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F22%3A00353485" target="_blank" >RIV/68407700:21340/22:00353485 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.physa.2021.126424" target="_blank" >https://doi.org/10.1016/j.physa.2021.126424</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.physa.2021.126424" target="_blank" >10.1016/j.physa.2021.126424</a>
Alternative languages
Result language
angličtina
Original language name
Hurst exponent estimation of fractional surfaces for mammogram images analysis
Original language description
The work presents a methodology to precise simulation and parameter estimation of multidimensional fractional Brownian motion (fBm). The simulation approach uses circulant embedding algorithm and solution of Poisson equation, while generalizing it to multiple dimensions. For estimation, a method using Wishart distribution and maximum likelihood is presented and verified on simulated data. Unlike approximate methods for generating multidimensional fBm and its Hurst exponent estimation, this approach shows unbiased results for all processes with short memory and majority of cases with long memory. The methodology is applied to mammography screening images to find significant differences between benign and cancerous breast lumps.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/EF16_019%2F0000765" target="_blank" >EF16_019/0000765: Research Center for Informatics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physica A: Statistical Mechanics and Its Applications
ISSN
0378-4371
e-ISSN
1873-2119
Volume of the periodical
585
Issue of the periodical within the volume
1
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
8
Pages from-to
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UT code for WoS article
000703932500026
EID of the result in the Scopus database
2-s2.0-85115893885