Bispectrum Technique to Image Recovery From Water Imaging
A new method is proposed for removing geometric distortion in images of submerged objects observed from
outside shallow water. The water waves will affect the appearance of the individual video frames such that no single frame is
completely free of geometric distortion. This suggests that, in principle, it is possible to perform a selection of a set of low
distortion sub-regions from each video frame and combine them to form a single undistorted image of the observed object.
Under mild conditions where the wavy surface normal weakly satisfy a Gaussian distribution, it demonstrates that the
geometric distortion can be removed and a corrected image can be recovered. The bispectrum concept is utilized to recover
undistorted images from videos.
Index Terms— Water Imaging, Bispectrum, Bicoherence, Quadrature Phase Coupling (QPC), Gaussian Distribution.