tfg.math.math_helpers.cartesian_to_spherical_coordinates

Function to transform Cartesian coordinates to spherical coordinates.

tfg.math.math_helpers.cartesian_to_spherical_coordinates(
    point_cartesian: TensorLike,
    eps: Float = None,
    name: str = 'cartesian_to_spherical_coordinates'
) -> tf.Tensor

This function assumes a right handed coordinate system with z pointing up. When x and y are both 0, the function outputs 0 for phi. Note that the function is not smooth when x = y = 0.

In the following, A1 to An are optional batch dimensions.

point_cartesian A tensor of shape [A1, ..., An, 3]. In the last dimension, the data follows the x, y, z order.
eps A small float, to be added to the denominator. If left as None, its value is automatically selected using point_cartesian.dtype.
name A name for this op. Defaults to "cartesian_to_spherical_coordinates".

A tensor of shape [A1, ..., An, 3]. The last dimensions contains (r,theta,phi), where r is the sphere radius, theta is the polar angle and phi is the azimuthal angle. Returns NaN gradient if x = y = 0.