|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)|
|Cited by||J. of Mech. Eng., 2016, vol. 19, no. 1, pp. 37-43|
O. M. Lytvyn, Ukrainian Engineering Pedagogics Academy (16, Universitetskaya St., Kharkiv, 61003, Ukraine), e-mail: email@example.com
O. V. Slavik, Ukrainian Engineering Pedagogics Academy (16, Universitetskaya St., Kharkiv, 61003, Ukraine)
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
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Received 28 January 2016
Published 30 March 2016