Title :
The ratio of the arithmetic to the geometric mean: a cross-entropy interpretation
Author :
Woodhouse, Iain H.
Author_Institution :
Dept. of Geogr., Edinburgh Univ., UK
fDate :
1/1/2001 12:00:00 AM
Abstract :
The ratio of the arithmetic mean to the geometric mean is often applied to synthetic aperture radar (SAR) imagery as a heuristic index of target homogeneity. It is shown that this ratio is equivalent to a cross entropy expression, and can therefore be interpreted as a measure of the information contained within the image
Keywords :
geophysical techniques; image segmentation; image texture; maximum entropy methods; minimum entropy methods; radar imaging; radar theory; remote sensing by radar; synthetic aperture radar; terrain mapping; SAR; arithmetic mean; cross entropy expression; cross entropy interpretation; geometric mean; geophysical measurement technique; heuristic index; image segmentation; image texture; land surface; maximum entropy method; radar imaging; radar remote sensing; synthetic aperture radar; target homogeneity; terrain mapping; Arithmetic; Entropy; Image segmentation; Image texture analysis; Layout; Maximum likelihood detection; Pixel; Radar detection; Speckle; Synthetic aperture radar;
Journal_Title :
Geoscience and Remote Sensing, IEEE Transactions on
