Resampling Effects on Classification
Table 4 shows the relative contrast ratio (RCR) of the mean
grey levels at uncorrected and resampled pixels in training
sites in band 4,5,and 6. In other words, it represents the
ratio of difference of mean grey levels between resampled
pixels and uncorrected pixels to those at uncorrected pixel.
Then, it may be summarized that in each band RCR of mean gr
ey levels between resampled pixels via NN and uncorrected
pixels seems to be negligibly small , whereas RCR of mean
grey levels via BI and CC seems to show noticeable anomaly
in a few classes,i•e., sea, lagoon and broad-leaved trees
in band 4,5, and 6. In a manner similar to the mean grey le
vels, we computed also RCR of the covariance for eleven clas
ses via NN,BI, and CC in band 4,5, and 6. The situation was
found almost to be identical with those of mean grey levels.
It is of interest to mention that the resampling effects on
classification of Landsat MSS data have recently been dis
cussed by several authors (cf.Etheridge and Nelson 1979;Lo
gan 1979; Tsuchiya and Arai 1980)
GROUND ALBEDO MAPPING
Diffuse Radiance Reflected by Terrestrial Atmosphere
The apparent radiance of surface features which an arbitra
ry spacecraft measures differs from the intrinsic surface
radiance of the object, because of the presence of interve
ning terrestrial atmosphere bounded by the horizontally non-
uniform albedo of Lambertian surface. Then,removal of the at
mospheric effects on terrestrial imagery can improve the ac
curacy of pattern recognition and image interpretation in
remote sensing. In what follows, in Cartessian coordinate
system we deal with three-dimensional radiative transfer mo
del of atmosphere bounded by horizontally non-uniform dif
fuse reflector.
Basic equations. Suppose that top z=z^ of a plane-parallel,
vertically inhomogeneous, anisotropically scattering atmos
phere of optical thickness t is monodirectionally illumina
ted by parallel rays of net flux tF per unit area normal to
the direction of propagation. On extending the principles
of invariance in a slab geometry (cf.Chandrasekhar 1960) to
the three-dimensional case, it is stated such that, in ad
dition to the atmospheric path radiance along the sensor's
line of sight, the diffuse radiance observd from target by
a spaceborne sensor consists of the direct and diffuse tra
nsmission of the total irradiance at ground level.One of
the outstanding characteristics of the algorithm is to expr
ess the required radiance at top (or bottom) in terms of the
reflection (or transmission ) function of the atmosphere ap
propriate to this case. They are the initial-value solution
of the transfer equation,i.e., the Cauchy system of the Ri-
ccati type of non-linear integro-differential equations.Phy
sically speaking, when an assumed diffusely reflecting tar
get is observed from space through hazy atmosphere, the at
mosphere modifies the radiance from the target by attenuation
i.e., the direct and diffuse transmission, in addition to
the path radiance. In the three-dimensional radiation fie
ld the reflection and transmission functions are also th
ree-dimensional so that the exact solutions seem to be from
computational aspects tremendously untractable. Then, in our
present case, the approximation of three-dimensional reflec