Determination of phase from the ridge of CWT using generalized Morse wavelet

KOCAHAN YILMAZ Ö., Tiryaki E., COŞKUN E., ÖZDER S.

MEASUREMENT SCIENCE AND TECHNOLOGY, cilt.29, sa.3, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1088/1361-6501/aa9d56
  • Dergi Adı: MEASUREMENT SCIENCE AND TECHNOLOGY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: continuous wavelet transforms, generalized morse wavelet, quantitative phase imaging, fringe analysis, FOURIER-TRANSFORM PROFILOMETRY, WHITE-LIGHT, FRINGE PATTERNS, BIREFRINGENCE DISPERSION, ANALYTIC WAVELETS, S-TRANSFORM, MICROSCOPY, ALGORITHM, CELL, PRINCIPLES
  • Çanakkale Onsekiz Mart Üniversitesi Adresli: Evet

Özet

The selection of wavelet is an important step in order to determine the phase from the fringe patterns. In the present work, a new wavelet for phase retrieval from the ridge of continuous wavelet transform (CWT) is presented. The phase distributions have been extracted from the optical fringe pattern by choosing the zero order generalized morse wavelet (GMW) as a mother wavelet. The aim of the study is to reveal the ways in which the two varying parameters of GMW affect the phase calculation. To show the validity of this method, an experimental study has been conducted by using the diffraction phase microscopy (DPM) setup; consequently, the profiles of red blood cells have been retrieved. The results for the CWT ridge technique with GMW have been compared with the results for the Morlet wavelet and the Paul wavelet; the results are almost identical for Paul and zero order GMW because of their degree of freedom. Also, for further discussion, the Fourier transform and the Stockwell transform have been applied comparatively. The outcome of the comparison reveals that GMWs are highly applicable to the research in various areas, predominantly biomedicine.