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Surface Topology Reconstruction From The White Light Interferogram By Means Of Prony Analysis

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper presents a new method of surface topology reconstruction from a white light interferogram. The method is based on interferogram modelling by complex exponents (Prony method). The compatibility of white light interferogram and Prony models has already been proven. Effectiveness of the method was tested by modelling and examining reconstruction of tilted and spherical surfaces, and by estimating the reconstruction accuracy.
Rocznik
Strony
479--490
Opis fizyczny
Bibliogr. 22 poz., rys., tab., wykr., wzory
Twórcy
autor
  • Lviv Politechnical National University, Faculty of Computer Technologies, Automation and Metrology, St. Bandery 12, 79-013 Lviv, Ukraine
  • Opole University of Technology, Faculty of Electrical Engineering, Automatic Control and Informatics, Prószkowska 76, 45-758 Opole, Poland
Bibliografia
  • [1] Wyant, J.C. (2002). White light interferometry. Proc. SPIE 2002, 4737, 98-107.
  • [2] Goodwin, E.P., Wyant, J.C. (2006). Interferometric Optical Testing. Washington: SPIE Press.
  • [3] Whitehouse, D.J. (1997). Surface metrology. Meas. Sci. Technol., 8, 955-972.
  • [4] Świrniak, G., Głomb, G., Mroczka, J. (2014).Inverse analysis of the rainbow for the case of low-coherent incident light to determine the diameter of a glass fiber. Applied Optics. 53(19), 4239-4247.
  • [5] Świrniak, G., Glomb, G., Mroczka, J. (2014). Inverse analysis of light scattered at a small angle for characterization of a transparent dielectric fiber. Applied Optics. 53(30), 7103-7111.
  • [6] Mroczka, J., Szczuczyński, D. (2013). Improved technique of retrieving particle size distribution from angular scattering measurements. Journal of Quantitative Spectroscopy and Radiative Transfer. 129, 48-59.
  • [7] Muhamedsalih, Н.М. (2013). Investigation of wavelength scanning interferometry for embedded metrology. Ph.D. Thesis, Univ. of Huddersfield.
  • [8] Magalhaes, P., Neto, P., Magalhães, C. (2010). New carré equation. Metrol. Meas. Syst., 17(2), 173-194.
  • [9] Adamczak, S., Makieła, W., Stępień, K. (2010). Investigating advantages and disadvantages of the analysis of a geometrical surface structure with the use of fourier and wavelet transform. Metrol. Meas. Syst., 17(2), 233-244.
  • [10] Borkowski, J., Mroczka, J. (2010). LIDFT method with classic data windows and zero padding in multifrequency signal analysis. Measurement, 43(10), 1595-1602.
  • [11] Borkowski, J., Mroczka, J. (2002). Metrological analysis of the LIDFT method. IEEE Transactions on Instrumentation and Measurement. 51(1), 67-71.
  • [12] Stadnyk, B., Manske, E., Khoma, A. (2014). State and prospects of computerized systems monitoring the topology of surfaces, based on white light interferomertry. Computational Problems of Electrical Engineering, 4(1), 75-80.
  • [13] Abdul-Rahman, H. (2007). Three-dimensional fourier fringe analysis and phase unwrapping. Ph.D. Thesis. Liverpool John Moores University.
  • [14] Khoma, A. (2014). Method of surface reconstruction from white light interferogram based on Hilbert transform. Computer Science and Information Technology, Lviv Polytechnic National University, 800, 168-175.
  • [15] Baron de Prony, G.R. (1795). Essai experimental et analytique: sur les lois de La dilatabilité de fluides élastique et sur celles de la force expansive de la vapeur de l’alkool, á différentes temperatures. J. l’École Polytech., 1(22), 24-76.
  • [16] Zygarlicki, J., Mroczka, J. (2012). Variable-frequency Prony method in the analysis of electrical power quality. Metrol. Meas. Syst., 19(1), 39-48.
  • [17] Zygarlicki, J., Mroczka, J. (2014). Prony’s method with reduced sampling - Numerical aspects. Metrol. Meas. Syst., 21(3), 521-534
  • [18] Zygarlicki, J., Mroczka, J. (2012). Prony’s method used for testing harmonics and interharmonics in electrical power systems. Metrol. Meas. Syst., 19(4), 659-672.
  • [19] Zygarlicki, J., Zygarlicka, M., Mroczka, J., Latawiec, K.J. (2010). A reduced prony’s method in power-quality analysis-parameters selection. IEEE Transactions on Power Delivery, 25(2), 979-986.
  • [20] Marple, S., Lawrence, Jr. (1987). Digital Spectral Analysis. New Jersey: Prentice Hall PTR.
  • [21] Lyons, R.G. (2010). Understanding Digital Signal Processing. Pearson Education, Inc.
  • [22] Ifeachor, E.C., Jervis, B.W. (2002). Digital signal processing: a practical approach. England: Pearson Education, 2nd ed.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-1ee668fe-fb19-41c1-940b-fe2580045b34
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