generate_fibonacci_sphere

mrinufft.trajectories.maths.generate_fibonacci_sphere(nb_points, epsilon=0.25)

Generate 3D Cartesian coordinates as a Fibonacci sphere.

Place 3D points almost evenly over a sphere surface of radius 1 by distorting a square Fibonacci lattice into a sphere.

Parameters:

• nb_points (int) – Number of 3D points to generate.

• epsilon (float) – Continuous offset used to reduce initially wrong lattice behavior.

Returns:

Array of 3D Cartesian coordinates covering a sphere of radius 1.

Return type:

np.ndarray