Diagnostic features of relief formations on the nanostructured titanium VT1-0 surface after laser shock-wave treatment

Abstract

A new class of diagnostic features for conducting morphological analysis of relief formations induced by laser shock-wave treatment on the surface of the nanostructured titanium VT1-0 alloy is proposed. They are the coefficients of series expansions of statistical estimates for the orthogonal basis of Chebyshev, Laguerre, Kravchuk discrete polynomials and trigonometric functions. Based on the criterion of the minimum number of the diagnostic features in the above-mentioned bases, the Chebyshev one was selected as the most appropriate to solve this problem.

Original language	English
Article number	012084
Journal	IOP Conference Series: Materials Science and Engineering
Volume	177
Issue number	1
DOIs	https://doi.org/10.1088/1757-899X/177/1/012084
Publication status	Published - 1 Mar 2017

ASJC Scopus subject areas

Materials Science(all)
Engineering(all)

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10.1088/1757-899X/177/1/012084

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title = "Diagnostic features of relief formations on the nanostructured titanium VT1-0 surface after laser shock-wave treatment",

abstract = "A new class of diagnostic features for conducting morphological analysis of relief formations induced by laser shock-wave treatment on the surface of the nanostructured titanium VT1-0 alloy is proposed. They are the coefficients of series expansions of statistical estimates for the orthogonal basis of Chebyshev, Laguerre, Kravchuk discrete polynomials and trigonometric functions. Based on the criterion of the minimum number of the diagnostic features in the above-mentioned bases, the Chebyshev one was selected as the most appropriate to solve this problem.",

author = "Lytvynenko, {I. V.} and Lupenko, {S. A.} and Maruschak, {P. O.} and Panin, {S. V.} and Hats, {Yu I.}",

year = "2017",

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T1 - Diagnostic features of relief formations on the nanostructured titanium VT1-0 surface after laser shock-wave treatment

AU - Lytvynenko, I. V.

AU - Lupenko, S. A.

AU - Maruschak, P. O.

AU - Panin, S. V.

AU - Hats, Yu I.

PY - 2017/3/1

Y1 - 2017/3/1

N2 - A new class of diagnostic features for conducting morphological analysis of relief formations induced by laser shock-wave treatment on the surface of the nanostructured titanium VT1-0 alloy is proposed. They are the coefficients of series expansions of statistical estimates for the orthogonal basis of Chebyshev, Laguerre, Kravchuk discrete polynomials and trigonometric functions. Based on the criterion of the minimum number of the diagnostic features in the above-mentioned bases, the Chebyshev one was selected as the most appropriate to solve this problem.

AB - A new class of diagnostic features for conducting morphological analysis of relief formations induced by laser shock-wave treatment on the surface of the nanostructured titanium VT1-0 alloy is proposed. They are the coefficients of series expansions of statistical estimates for the orthogonal basis of Chebyshev, Laguerre, Kravchuk discrete polynomials and trigonometric functions. Based on the criterion of the minimum number of the diagnostic features in the above-mentioned bases, the Chebyshev one was selected as the most appropriate to solve this problem.

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