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spherical

pleat.geometries.spherical

Spherical geometry backend using 3D unit-sphere coordinates.

Points are unit vectors in R^3 (shape (3,)); isometries are 3x3 rotation matrices. Use :meth:SphereModel.stereographic_projection (or :meth:Geometry.to_euclidean) to obtain a 2D image for plotting.

SphereModel

Bases: Geometry

Spherical geometry with points on the unit 2-sphere in R^3.

stereographic_projection classmethod 

stereographic_projection(pts)

Apply stereographic projection with pole at (-1, 0, 0).

Source code in pleat/geometries/spherical.py 
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@classmethod
def stereographic_projection(cls, pts):
    """Apply stereographic projection with pole at (-1, 0, 0)."""
    return 2 * pts[..., 1:] / (pts[..., :1] + 1)