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Transform Cartesian coordinates to polar or cylindrical
Syntax
[THETA,RHO,Z] = cart2pol(X,Y,Z) [THETA,RHO] = cart2pol(X,Y)
Description
[THETA,RHO,Z] = cart2pol(X,Y,Z)
transforms three-dimensional Cartesian coordinates stored in corresponding elements of arrays X, Y, and Z, into cylindrical coordinates. THETA is a counterclockwise angular displacement in radians from the positive x-axis, RHO is the distance from the origin to a point in the x-y plane, and Z is the height above the x-y plane. Arrays X, Y, and Z must be the same size (or any can be scalar).
[THETA,RHO] = cart2pol(X,Y)
transforms two-dimensional Cartesian coordinates stored in corresponding elements of arrays X and Y into polar coordinates.
Algorithm
The mapping from two-dimensional Cartesian coordinates to polar coordinates, and from three-dimensional Cartesian coordinates to cylindrical coordinates is:
See Also
cart2sph, pol2cart, sph2cart