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Applied Optics

Applied 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)

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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

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

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)

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