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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 46, Iss. 15 — May. 20, 2007
  • pp: 2907–2913

Tangent least-squares fitting filtering method for electrical speckle pattern interferometry phase fringe patterns

Chen Tang, Wenping Wang, Haiqing Yan, and Xiaohui Gu  »View Author Affiliations


Applied Optics, Vol. 46, Issue 15, pp. 2907-2913 (2007)
http://dx.doi.org/10.1364/AO.46.002907


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Abstract

An efficient method is proposed to reduce the noise from electrical speckle pattern interferometry (ESPI) phase fringe patterns obtained by any technique. We establish the filtering windows along the tangent direction of phase fringe patterns. The x and y coordinates of each point in the established filtering windows are defined as the sine and cosine of the half-wrapped phase multiplied by a random quantity, then phase value is calculated using these points' coordinates based on a least-squares fitting algorithm. We tested the proposed methods on the computer-simulated speckle phase fringe patterns and the experimentally obtained phase fringe pattern, respectively, and compared them with the improved sine∕cosine average filtering method [Opt. Commun. 162, 205 (1999)] and the least-squares phase-fitting method [Opt. Lett. 20, 931 (1995)], which may be the most efficient methods. In all cases, our results are even better than the ones obtained with the two methods. Our method can overcome the main disadvantages encountered by the two methods.

© 2007 Optical Society of America

OCIS Codes
(070.6110) Fourier optics and signal processing : Spatial filtering
(100.5010) Image processing : Pattern recognition
(120.6160) Instrumentation, measurement, and metrology : Speckle interferometry

ToC Category:
Fourier Optics and Optical Signal Processing

History
Original Manuscript: November 29, 2006
Revised Manuscript: February 11, 2007
Manuscript Accepted: February 11, 2007
Published: May 1, 2007

Citation
Chen Tang, Wenping Wang, Haiqing Yan, and Xiaohui Gu, "Tangent least-squares fitting filtering method for electrical speckle pattern interferometry phase fringe patterns," Appl. Opt. 46, 2907-2913 (2007)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-46-15-2907

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