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Map ProjectionsTheory and Applications - Theory and Applications (Paperback)
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Map ProjectionsTheory and Applications - Theory and Applications (Paperback)
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About the Author: Frederick Pearson has extensive experience in
teaching map projection at the Air Force Cartography School and
Virginia Polytechnic Institute. He developed star charts, satellite
trajectory programs, and a celestial navigation device for the
Aeronautical Chart and Information Center. He is an expert in
orbital analysis of satellites, and control and guidance systems.
At McDonnell-Douglas, he worked on the guidance system for the
space shuttle. This text develops the plotting equations for the
major map projections. The emphasis is on obtaining usable
algorithms for computed aided plotting and CRT display. The problem
of map projection is stated, and the basic terminology is
introduced. The required fundamental mathematics is reviewed, and
transformation theory is developed. Theories from differential
geometry are particularized for the transformation from a sphere or
spheroid as the model of the earth onto a selected plotting
surface. The most current parameters to describe the figure of the
earth are given. Formulas are included to calculate meridian
length, parallel length, geodetic and geocentric latitude, azimuth,
and distances on the sphere or spheroid. Equal area, conformal, and
conventional projection transformations are derived. All result in
direct transformation from geographic to cartesian coordinates. For
selected projections, inverse transformations from cartesian to
geographic coordinates are given. Since the avoidance of distortion
is important, the theory of distortion is explored. Formulas are
developed to give a quantitative estimate of linear, area, and
angular distortions. Extended examples are given for several
mapping problems of interest. Computer applications, and efficient
algorithms are presented. This book is an appropriate text for a
course in the mathematical aspects of mapping and cartography. Map
projections are of interest to workers in many fields. Some of
these are mathematicians, engineers, surveyors, geodi
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