Implement spherical harmonic parameterization method introduced in the attached :document : Surface Parameterization
Requirement:
1. Input a genus zero mesh model (without handles), harmonic map the model to a unit sphere.
2. The coordinates of a vertex of the output model is a spherical coordinates associated with its original surface normal.
Note that the sampled results include two outputs. One has no normal associated with each vertex. The other has
original surface normal associated. The output of the project requires vertex normal output with spherical coordinates as the following shows:
Vertex 1 0.423653 0.25126 -0.87028 {normal=(-0.0654374 -0.673638 -0.736159)}