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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 19 — Jul. 1, 2011
  • pp: 3110–3117

Application of the radial basis function interpolation to phase extraction from a single electronic speckle pattern interferometric fringe

Gao Wang, Yang Jun Li, and Han Chang Zhou  »View Author Affiliations


Applied Optics, Vol. 50, Issue 19, pp. 3110-3117 (2011)
http://dx.doi.org/10.1364/AO.50.003110


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Abstract

In this paper, we introduce the radial basis function (RBF) interpolation method to electronic speckle pattern interferometry (ESPI) and propose the RBF interpolation method to obtain unwrapped phase values based on a skeleton map. Because of the excellent approximation properties of the RBF interpolation, the proposed method can extract accurate phase values from a single fringe pattern effectively, even using a simple 3 × 3 mean filter as preprocessing. Using our method, both special filtering methods for ESPI fringes as preprocessing and postprocessing, including a dilatation and erosion algorithm for pruning and connecting and the smooth algorithm for improving the phase values are not needed. We test our method on a computer-simulated and two experimentally obtained poor-quality fringe patterns. The results have demonstrated that our RBF interpolation method works well even under a seriously disconnected skeleton map where it is impossible to apply the widely used, Matlab function grid data interpolation or the backpropagation neural networks method [ Appl. Opt. 46, 7475 (2007)].

© 2011 Optical Society of America

OCIS Codes
(100.5070) Image processing : Phase retrieval
(120.6160) Instrumentation, measurement, and metrology : Speckle interferometry

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: October 19, 2010
Revised Manuscript: April 20, 2011
Manuscript Accepted: April 22, 2011
Published: June 21, 2011

Citation
Gao Wang, Yang Jun Li, and Han Chang Zhou, "Application of the radial basis function interpolation to phase extraction from a single electronic speckle pattern interferometric fringe," Appl. Opt. 50, 3110-3117 (2011)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-50-19-3110

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