### 17.8 Coordinate Transformations

Function File: [theta, r] = cart2pol (x, y)
Function File: [theta, r, z] = cart2pol (x, y, z)
Function File: [theta, r] = cart2pol (C)
Function File: [theta, r, z] = cart2pol (C)
Function File: P = cart2pol (…)

  Transform Cartesian to polar or cylindrical coordinates.

  theta describes the angle relative to the positive x-axis. r is the distance to the z-axis (0, 0, z). x, y (, and z) must be the same shape, or scalar. If called with a single matrix argument then each row of C represents the Cartesian coordinate (x, y (, z)).

  If only a single return argument is requested then return a matrix P where each row represents one polar/(cylindrical) coordinate (theta, phi (, z)).

  See also: pol2cart, cart2sph, sph2cart.

Function File: [x, y] = pol2cart (theta, r)
Function File: [x, y, z] = pol2cart (theta, r, z)
Function File: [x, y] = pol2cart (P)
Function File: [x, y, z] = pol2cart (P)
Function File: C = pol2cart (…)

  Transform polar or cylindrical to Cartesian coordinates.

  theta, r, (and z) must be the same shape, or scalar. theta describes the angle relative to the positive x-axis. r is the distance to the z-axis (0, 0, z). If called with a single matrix argument then each row of P represents the polar/(cylindrical) coordinate (theta, r (, z)).

  If only a single return argument is requested then return a matrix C where each row represents one Cartesian coordinate (x, y (, z)).

  See also: cart2pol, sph2cart, cart2sph.

Function File: [theta, phi, r] = cart2sph (x, y, z)
Function File: [theta, phi, r] = cart2sph (C)
Function File: S = cart2sph (…)

  Transform Cartesian to spherical coordinates.

  theta describes the angle relative to the positive x-axis. phi is the angle relative to the xy-plane. r is the distance to the origin (0, 0, 0). x, y, and z must be the same shape, or scalar. If called with a single matrix argument then each row of C represents the Cartesian coordinate (x, y, z).

  If only a single return argument is requested then return a matrix S where each row represents one spherical coordinate (theta, phi, r).

  See also: sph2cart, cart2pol, pol2cart.

Function File: [x, y, z] = sph2cart (theta, phi, r)
Function File: [x, y, z] = sph2cart (S)
Function File: C = sph2cart (…)

  Transform spherical to Cartesian coordinates.

  theta describes the angle relative to the positive x-axis. phi is the angle relative to the xy-plane. r is the distance to the origin (0, 0, 0). theta, phi, and r must be the same shape, or scalar. If called with a single matrix argument then each row of S represents the spherical coordinate (theta, phi, r).

  If only a single return argument is requested then return a matrix C where each row represents one Cartesian coordinate (x, y, z).

  See also: cart2sph, pol2cart, cart2pol.