3. RESULTS
In addition to the transformation using control
features, a second order polynomial transformation
with control points was also done for comparison.
Fifteen (15) points were used in the point-to-
point transformation, while 19 features were used
in point-to-feature transformation. In each case,
6 independent check points were used. The follow-
ing results were obtained:
Mean errors on transformation points:
(row and column directions respectively)
Control Points: 1.0 & 0.9 pixels
Control Features: 0.7 & 0.6 pixels
Mean errors on check points:
- Control Points: 0.8 & 1.6 pixels
S Control Features: 1.0 & 1.2 pixels
4. DISCUSSION AND CONCLUSION
The use of straight line features as controls re-
quires that the image point falls on the straight
line defined on the map or ground after transfor-
y mation. This in turn requires that:
. that the road or track actually be straight
0 between the two points, otherwise, a more com-
t plex function would be required to define the
Y feature.
. that the two points must be chosen on the
same part of the road or track, e.g centre line
or edge, from which the image point has been
a chosen. For this reason, roads and tracks sym-
Y bolized with very thin lines are most approp-
e: riate on maps.
. most importantly, that the image point falls
within the limits of the feature as defined by
the two points on the map or ground.
Approximate values of parameters are required for
the iterative solution discussed above, these may
jf be obtained by initially assuming a one-to-one
correspondence between the image point and the
midpoint of the two points chosen on the feature.
The rate of convergence depends a lot on how good
2) the initial approximations are.
The results show that this concept can be used in
ye place of the control points method. One of its
2 disadvantages however is that for the same number
ge of transformation parameters, the number of fea-
of tures required is higher than the number of
2) points. This, in addition to the requirement for
f- iterative solution, implies an increased compu-
he tation.
Re 5. REFERENCES
al Masry, S.E., 1981. Digital Mapping Using Entities:
A New Concept. Phot. Eng. and Remote Sensing, 47:
st 1561-1565
ed
or
the
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