Theoretical statistical relationships between the intensities of an image of the sea surface and its slopes: a result comparison of rect and Gaussian glitter functions

Jose Luis Poom-Medina; Josue Alvarez-Borrego; Beatriz Martin-Atienza; Angel Coronel-Beltran

doi:10.1117/1.OE.53.4.043103

2 April 2014 Theoretical statistical relationships between the intensities of an image of the sea surface and its slopes: a result comparison of rect and Gaussian glitter functions

Jose Luis Poom-Medina, Josue Alvarez-Borrego, Beatriz Martin-Atienza, Angel Coronel-Beltran

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Optical Engineering, Vol. 53, Issue 4, 043103 (April 2014). https://doi.org/10.1117/1.OE.53.4.043103

Abstract

The reflection of the sunlight over the sea surface is called glitter pattern. In previous works where the one-dimensional case was analyzed, the glitter function was mathematically described by a rect function. This rect function has proven to be a very good representation of the glitter pattern. A Gaussian glitter function is used like a first approximation to the rect function. The statistical relationship between the variance and the correlation function of the intensities of the image, the glitter pattern, and the variance of the sea surface slopes are obtained and analyzed. The analytical solutions for these relationships are given by different equations; however, the graphic representations are very similar.

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Jose Luis Poom-Medina, Josue Alvarez-Borrego, Beatriz Martin-Atienza, and Angel Coronel-Beltran "Theoretical statistical relationships between the intensities of an image of the sea surface and its slopes: a result comparison of rect and Gaussian glitter functions," Optical Engineering 53(4), 043103 (2 April 2014). https://doi.org/10.1117/1.OE.53.4.043103

Published: 2 April 2014

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