On Application of Fractal Analysis Methods to Biomedical Preparation Images
Автор(ы):
N. Ampilova
Russia, 198504, Petergof, Universitetski pr.28
Saint-Peterburg State University
Faculty of Mathematics and Mechanics
n.ampilova@spbu.ru
Igor P. Soloviev
St. Petersburg State University
Math.& Mech. Faculty
Computer Science Dept.
soloviev@math.spbu.ru
Yuri V. Shupletsov
St. Petersburg State University
Math.& Mech. Faculty
Computer Science Dept.
shupaag@mail.ru
Аннотация:
We investigate a possibility to apply fractal and multifractal
methods to analyze some classes of biomedical preparation images.
The Modified Fractal Signature method based on the calculation of the
Minkovsky dimension is used. The method is alternative to well-known
box dimension calculation. Generalized dimensions (Regny spectrum)
and multifractal spectrum are calculated to obtain valuable features
for multifractal sets. Different methods for multifractal spectrum
calculation are considered. The results of numerical experiments
show that for the images under study the direct calculation of multifractal
spectrum (pointwise dimensions calculation and the computing thermodynamic averages)
is more preferable than the obtaining the spectrum from generalized dimensions
with the following using the Legendre transform.
Ссылки:
- Ampilova N., Gurevich E., Soloviev I. Application of Modified Fractal Signature & Regny Spectrum Methods to the Analysis of Biomedical Preparations Images. Proc. 6 Int. Conf. CEMA11, 6-8 Oct. 2011, Sofia, Bulgaria. p. 96-100
- Ampilova N., Soloviev I., Shupletzov Y. Multifractal spectrum as a classification sign for biomedical preparations images. Proc. 7 Int. Conf. CEMA12, 8-10 Nov. 2012, Athens, Greece. p. 98-101
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