In an optical/infrared or a synthetic aperture radar image, a given pixel value g(i, j), derived from the measured radiation field at a satellite sensor, is never exactly reproducible. It is the outcome of a complex measurement influenced by instrument noise, atmospheric conditions, changing illumination and so forth. It may be assumed, however, that there is an underlying random mechanism with an associated probability distribution which restricts the possible outcomes in some way. Each time we make an observation, we are sampling from that probability distribution or, put another way, we are observing a different possible realization of the random mechanism. In this chapter, some basic statistical concepts for multi-spectral ...
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