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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 33 — Nov. 20, 2010
  • pp: 6376–6384

Bispectral analysis and recovery of images distorted by a moving water surface

Zhiying Wen, Andrew Lambert, Donald Fraser, and Hongdong Li  »View Author Affiliations


Applied Optics, Vol. 49, Issue 33, pp. 6376-6384 (2010)
http://dx.doi.org/10.1364/AO.49.006376


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Abstract

We propose a new algorithm to recover a geometrically correct image of an object or scene from a set of images distorted by the wave motion of a water surface. Under mild conditions where the wavy surface normals weakly satisfy a Gaussian distribution, we demonstrate that the geometric distortion can be removed and a corrected image can be recovered. Our method is based on higher-order spectra analysis—in particular, the bispectrum, similar to its use in astronomical speckle imaging. In adapting this technique to imaging through or over a moving water surface, special care must be taken, and specifically tailored techniques are discussed in this paper. Our algorithm has been tested under two different scenarios: the refraction of light through a water surface (the underwater case) and the reflection of light from a water surface (the reflection case). Results in both cases have been encouraging.

© 2010 Optical Society of America

OCIS Codes
(010.0010) Atmospheric and oceanic optics : Atmospheric and oceanic optics
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(100.0100) Image processing : Image processing
(100.3020) Image processing : Image reconstruction-restoration

ToC Category:
Image Processing

History
Original Manuscript: June 18, 2010
Manuscript Accepted: August 16, 2010
Published: November 10, 2010

Citation
Zhiying Wen, Andrew Lambert, Donald Fraser, and Hongdong Li, "Bispectral analysis and recovery of images distorted by a moving water surface," Appl. Opt. 49, 6376-6384 (2010)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-33-6376

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