First and second order statistics of rough random surfaces from remote sensing images considering a Gaussian glitter function

Authors: Marín-Hernández M.; Alvarezborrego J.

Source: Journal of Modern Optics, Volume 46, Number 2, 15 February 1999 , pp. 211-226(16)

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Abstract:

The problem of obtaining information about the statistical properties of rough random surfaces from remote sensing images was solved by Alvarez-Borrego [1993, PhD thesis, CICESE, Ensenada B.C., México], who presented a model for one- and two-dimensional surfaces with numerical examples and experimental results. In this paper the same idea is followed, using the same geometrical parameters, and also for one- and two-dimensional surfaces. However, a Gaussian glitter function rather than the rect or circ types is used. This work was motivated by the opinion of some investigators who also work in the same field and who have commented that possibly a simpler manner to describe the first and second order statistics of rough random surfaces exists using a Gaussian glitter function and not the rect or circ functions. The results show that with a Gaussian glitter function it is possible to obtain an analytical relation in the equations and not only a numerical one as was found using the circ or rect functions. But upon the analysis of the behaviour of the analytical relations obtained in different geometries it was observed that the values obtained for the variance and for correlations were quite poor. Also, the image obtained using the Gaussian glitter function left us with the initial problem of having a range of grey values in the image, which is a difficulty when it is desired to apply this model to real physical situations. We conclude that the rect and circ functions are of higher utility in the application of the model than the Gaussian glitter function.

Language: English

Document Type: Research article

Publication date: 1999-02-15

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First and second order statistics of rough random surfaces from remote sensing images considering a Gaussian glitter function

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