DOI 10.17586/0021-3454-2018-61-10-930-932
UDC 004
APPLICATION OF FRACTAL ANALYSIS FOR EXPRESS PROCESSING OF SIGNALS AND IMAGES
ITMO University, Saint Petersburg, 197101, Russian Federation; Professor, Scientific Secretary
E. A. Karaseva
ITMO University, Department of Introscope Technologies;
Read the full article
Abstract. The methods of rapid signal processing using fractal analysis are investigated. An algorithm for preprocessing of data presented in the form of one - and two-dimensional signals on the example of MRI images and cardio signals is proposed. The obtained results are claimed to serve as a basis for application of fractal analysis in the processing of medical signals on large samples with subsequent statistical analysis.
Keywords: fractal analysis, signal processing, Hurst parameter, image analysis, cardio signal
References:
References:
- Mandelbrot B. The Fractal Geometry of Nature, W. H. Freeman and Co. 1982.
- Hurst H.E. Transactions of the American Society of Civil Engineers, 1951, no. 116, pp. 770–799.
- Blatter Ch. Wavelets – Eine Einfuhrung, Advanced Lectures in Mathematics, Vieweg+Teubner Verlag, Wiesbaden, 2003, DOI: https://doi.org/10.1007/978-3-663-11817-6_3
- Graps A.L. IEEE Computational Sciences and Engineering, 1995, no. 2(2), pp. 50–61.
- Marusina M.Ya., Volgareva A.P., Sizikov V.S. Journal of Optical Technology, 2015, no. 10(82), pp. 37–42. DOI:10.1364/JOT.82.000673 (in Russ.)
- Kiryakova T.N., Marusina M.Ya., Fedchenkov P.V. Rossiyskiy elektronnyy zhurnal luchevoy diagnostiki, 2017, no. 2(7), pp. 117–127. DOI: 10.21569/2222-7415-2017-7-2-117-127 (in Russ.)
- Anodina-Andriyevskaya E.M., Bozhokin S.V., Marusina M.Ya., Polonskiy Yu.Z., Suvorov N.B. Journal of Instrument Engineering, 2011, no. 7(54), pp. 27–35. (in Russ.)
- Marusina M.Y., Mochalina A.P., Frolova E.P., Satikov V.I., Barchuk A.A., Kuznetcov V.I., Gaidukov V.S., Tarakanov S.A. Asian Pacific Journal of Cancer Prevention, 2017, no. 1(18), pp. 51–55. DOI: 10.22034/APJCP.2017.18.1.51
