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peaks in the variance spectrum. The integrated variance can be related to the
resistance of the rocks underlying the area, its tectonic history, or climatic
factors. Thus, it may be related to the geomorphic "maturity" of an area.
The slope of the spectrum is also probably related to geomorphic maturity
Through the effects of the development and integration of small-scale
drainage. Periodicities in the variance spectrum can be the result of
jointing, bedding, or other, more exotic factors.
These kinds of interpretations can be applied to the Fourier transforms
presented in Figure 4. One difference in the transforms is apparent in the
rate of drop-off in brightness away from the center. This is proportional to
the texture scale in the same way as the slope of the variance spectrum. For
example, the large-scale texture of the mountainous subarea (subarea 5) causes
a rapid drop-off, while the smoother granitic area (subarea 4) has a
relatively "flatter" transform. These observations imply that relatively
resistant lithologies make up the mountainous area, or that it was uplifted
recently. In contrast, the relatively low relief of the granitic area is
probably a result of rapid weathering in this climate. Directional features
also cause differences in the Fourier transforms. Subarea 4 includes a ridge
in its corner, and the transform of that area shows a strong directional trend
with that orientation. Periodic topography is also observed in one of the
transforms. The karst of subarea 2 is periodic, and this is expressed as
small bright spots to either side of the center in the Fourier transform of
that area (Figure 4b). The Fourier transforms of these areas all have an
hourglass shape caused by the enhancement of slopes facing the radar sensor.
This is more pronounced for the steeper and more numerous slopes of
mountainous areas.
The "hour-glass" effect is also pronounced in Fourier transforms of the
same subareas extracted from a Seasat image of Belize (Figure 5). This is
caused by the enhancement of slopes by the Seasat system, as explained in the
Introduction. The enhancement of small slopes in subareas 2 and 4 and
fold-over in subarea 5 is readily apparent upon comparison of the Seasat
images of the subareas (Figure 5) with those from SIR-A (Figure 4).
In general, similar information is provided in the Fourier transforms of
the Seasat subareas. More structure is apparent in the transform of subarea 4
(Figure 5d), while the transform of the karst area (Figure 5b) barely shows a
peak caused by periodicity. The transform of the mountainous area (Figure 5f)
however, drops off rapidly, probably because of the dominant effects of
fold-over. In this case, the transform of the SIR-A image (Figure 4f) appears
to contain more useable information.
C. Spatial frequency bandpass classification.
Detailed study of small subareas can lead to better understanding of the
geologic and geomorphic factors operating in small areas, but it is also
desirable to produce a map of geologically meaningful textural variations over
a large area. One technique that can be used to present textural variations
was described by Blom and Daily (1982). The technique involves production of
images that represent only certain scales of texture. This is accomplished by
filtering the Fourier transform of an area into several spatial frequency
bands and producing an image for each of these bands. These bandpass images
are then used in a standard, unsupervised "multispectral" classification
algorithm to produce a map, the units of which represent unique textural
signatures. One could also use [images in which pixels represent local
variance, or other statistical quantities, in different size boxes (eg. D.L.
Evans, this volume) in the classification algorithm.
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