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 | |
| Publication status | Published - 1 Mar 2017 |
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ASJC Scopus subject areas
- Materials Science(all)
- Engineering(all)
Cite this
Diagnostic features of relief formations on the nanostructured titanium VT1-0 surface after laser shock-wave treatment. / Lytvynenko, I. V.; Lupenko, S. A.; Maruschak, P. O.; Panin, S. V.; Hats, Yu I.
In: IOP Conference Series: Materials Science and Engineering, Vol. 177, No. 1, 012084, 01.03.2017.Research output: Contribution to journal › Article
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TY - JOUR
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.
UR - http://www.scopus.com/inward/record.url?scp=85016206872&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85016206872&partnerID=8YFLogxK
U2 - 10.1088/1757-899X/177/1/012084
DO - 10.1088/1757-899X/177/1/012084
M3 - Article
VL - 177
JO - IOP Conference Series: Materials Science and Engineering
JF - IOP Conference Series: Materials Science and Engineering
SN - 1757-8981
IS - 1
M1 - 012084
ER -