INVESTIGATION OF RUPTURE LINES OF THE FUNCTIONS OF TWO VARIABLES OR THEIR DERIVATIVES OF SOME ORDER

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DOI  https://doi.org/10.15407/pmach2016.01.037
Journal Journal of Mechanical Engineering – Problemy Mashynobuduvannia
Publisher A. Podgorny Institute for Mechanical Engineering Problems
National Academy of Science of Ukraine
ISSN 0131-2928 (Print), 2411-0779 (Online)
Issue Vol. 19, no. 1, 2016 (March)
Pages 37-43
Cited by J. of Mech. Eng., 2016, vol. 19, no. 1, pp. 37-43

 

Authors

O. M. Lytvyn, Ukrainian Engineering Pedagogics Academy (16, Universitetskaya St., Kharkiv, 61003, Ukraine), e-mail: academ_mail@ukr.net

O. V. Slavik, Ukrainian Engineering Pedagogics Academy (16, Universitetskaya St., Kharkiv, 61003, Ukraine)

 

Abstract

A review of the existing methods for the automatic detection of ruptures in digital images is conducted. Two methods for detecting surface ruptures defined by a function of two variables are given. A new method for finding the lines of discontinuity of a function of two variables (which describes a surface) or its derivative of some order is proposed.

 

Keywords: image segmentation, ε-continuity, dε -continuity, dkε -continuity

 

References

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Received 28 January 2016

Published 30 March 2016