The method of determining the parameters of comb-scale distributions

Authors

  • Марина Вячеславовна Полякова Odessa National Polytechnic University Shevchenko 1, Odessa, 65044, Ukraine
  • Алеся Владимировна Ищенко Odessa National Polytechnic University Shevchenko 1, Odessa, 65044, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2013.18440

Keywords:

comb filter, structural texture, generalized function, scaling function

Abstract

Solving of applied problems often requires determining the boundaries of objects, filled with structural texture, on the image. For determining these boundaries and analyzing the spectral content of structural texture images, the methods for sequential parallel analysis are used. Existing methods for solving these problems cause large computational cost. For conversion with a generalized comb scaling functions, the problem of determining the analyzing function parameters, for their adjusting to a particular type of structural texture, was not solved. Therefore, a method of determining the parameters of generalized comb scaling functions was developed for determining the boundaries of structural texture on the image with a uniform background. The proposed method involves two steps. First, a basic function is constructed - generalized comb scaling function, aimed at determining the boundaries of structural textures with known parameters. Then, the parameters of this function are determined, based on vector representation of two-scale difference equation for the values of scaling function at dyadic rational points. The experiment showed that the proposed method of determining the parameters of generalized comb scaling function is appropriate for use under a noise level on the original image not more than 10 by power, as the values of computed characteristics decrease with increasing noise level. Along with this, their values were as follows: the relative error was 0.23 - 0.34 and the coefficient of correlation with true values of parameters was 0.95 - 0.98.

Author Biographies

Марина Вячеславовна Полякова, Odessa National Polytechnic University Shevchenko 1, Odessa, 65044

Docent

Department of Applied Mathematics and Information Technologies

Алеся Владимировна Ищенко, Odessa National Polytechnic University Shevchenko 1, Odessa, 65044

Assistant

Department of Applied Mathematics and Information Technologies

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Published

2013-10-30

How to Cite

Полякова, М. В., & Ищенко, А. В. (2013). The method of determining the parameters of comb-scale distributions. Eastern-European Journal of Enterprise Technologies, 5(2(65), 38–43. https://doi.org/10.15587/1729-4061.2013.18440

Issue

Vol. 5 No. 2(65) (2013): Applied information technology. Industry control systems

Section

Industry control systems

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Copyright (c) 2014 Марина Вячеславовна Полякова, Алеся Владимировна Ищенко

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