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### 17.7 Coordinate Transformations

— Function File: [theta, r] = cart2pol (x, y)
— Function File: [theta, r, z] = cart2pol (x, y, z)

> Transform Cartesian to polar or cylindrical coordinates. x, y (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).

> See also: pol2cart, cart2sph, sph2cart.

— Function File: [x, y] = pol2cart (theta, r)
— Function File: [x, y, z] = pol2cart (theta, r, z)

> 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).

> See also: cart2pol, cart2sph, sph2cart.

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

> Transform Cartesian to spherical coordinates. x, y and z must be the same shape, or scalar. 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).

> See also: pol2cart, cart2pol, sph2cart.

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

> Transform spherical to Cartesian coordinates. x, y and z must be the same shape, or scalar. 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).

> See also: pol2cart, cart2pol, cart2sph.