Zusammenfassung
Transformation of coordinates usually invokes
levelwise processes wherein several sets of complicated
equations are calculated. Unfortunately, the accuracy
may be corrupted due to the accumulation of inevitable
errors between the transformation processes. This
letter rephrases the transformation of coordinates from
global positioning system (GPS) signals to 2-D
coordinates as a regression problem that derives target
coordinates from the inputs of GPS signals directly. In
this letter, a genetic-based solution is proposed and
implemented by the techniques of symbolic regression
and genetic programming. Since coordinates for a GPS
application are obtained by using simpler
transformation formulas, the computational costs and
inaccuracy can be reduced. The proposed method,
although it does not exclude systematic errors due to
the imperfection on defining the reference ellipsoid
and the reliability of GPS receivers, effectively
reduces statistical errors when accurate Cartesian
coordinates are known from independent sources. To our
best knowledge, this letter is the first attempt to use
genetic-based methods in coordinate transformation for
GPS positioning. From the experimental results where
the target datums TWD67 and TWD97 are investigated, it
seems that the proposed method can serve as a direct
and feasible solution to the transformation of GPS
coordinates.
Nutzer