Mapping Functions

xy2pol(x, y) or xy2pol(v) Converts the rectangular coordinates of a point (x, y) to polar coordinates (r, θ).

pol2xy(r, θ) or pol2xy(v) Converts the polar coordinates of a point (r, θ) to rectangular coordinates (x, y).

xyz2sph(x, y, z) or xyz2sph(v) Converts the rectangular coordinates of a point (x, y, z) to spherical coordinates (r, θ, φ).

sph2xyz(r, θ, φ) or sph2xyz(v) Converts the spherical coordinates of a point (r, θ, φ) to rectangular coordinates (x, y, z).

xyz2cyl(x, y, z) or xyz2cyl(v) Converts the rectangular coordinates of a point (x, y, z) to cylindrical coordinates (r, θ, z).

cyl2xyz(r, θ, z) or cyl2xyz(v) Converts the cylindrical coordinates of a point (r, θ, z) to rectangular coordinates (x, y, z).

Each function returns a three-element column vector with the new coordinates. Angles are given in radians.

Arguments:

• x, y, z, r, θ, φ are real numbers. Angles are given in radians.
• v is a two or three-element vector giving the coordinates to transform in the alternate argument structure of these functions.

Notes:

• These functions are useful as the last argument to CreateMesh and CreateSpace.
• You can also switch coordinate systems within a 3D plot, rather than explicitly converting coordinates to cartesian.

QuickSheet