Hurst exponent estimation of fractional surfaces for mammogram images analysis

Martin Dlask and Jaromir Kukal

Physica A: Statistical Mechanics and its Applications, 2022, vol. 585, issue C

Abstract: 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.

Keywords: Fractional Brownian motion; Hurst exponent; Wishart distribution; Mammogram images (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:585:y:2022:i:c:s037843712100697x

DOI: 10.1016/j.physa.2021.126424

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