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Computing in Geographic Information Systems
book

Computing in Geographic Information Systems

by Narayan Panigrahi
July 2014
Intermediate to advanced content levelIntermediate to advanced
303 pages
8h 34m
English
CRC Press
Content preview from Computing in Geographic Information Systems
Reference Systems and Coordinate Transformations 55
To compute the 3D spherical coordinate from the 3D Cartesian coordinate
the transformation equations are given by
ρ =
p
x
2
+ y
2
+ z
2
(3.23)
Φ = arctan(
y
x
) (3.24)
Φ = arccos(
x
p
x
2
+ y
2
) (3.25)
Φ = arcsin(
y
p
x
2
+ y
2
) (3.26)
θ = arctan(
p
x
2
+ y
2
z
) (3.27)
To compute the spherical coordinates from cylindrical coordinates the trans-
formation equations are given by
ρ =
p
r
2
+ h
2
(3.28)
Φ = Φ (3.29)
θ = arctan(
r
h
) (3.30)
To compute the cylindrical coordinates from Cartesian coordinates the
transformation equation are given by
r =
p
x
2
+ y
2
(3.31)
θ = arctan(
y
x
) + π(x)sgny (3.32)
h = z (3.33)
3.8 Datum Transformation
As assumed by most ...
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Publisher Resources

ISBN: 9781482223149