skspatial.measurement.volume_tetrahedron¶
- skspatial.measurement.volume_tetrahedron(point_a: Union[ndarray, Sequence], point_b: Union[ndarray, Sequence], point_c: Union[ndarray, Sequence], point_d: Union[ndarray, Sequence]) float64 [source]¶
Return the volume of a tetrahedron defined by four points.
The points are the vertices of the tetrahedron. They must be 3D or less.
- Parameters:
- point_a, point_b, point_c, point_darray_like
The four vertices of the tetrahedron.
- Returns:
- np.float64
The volume of the tetrahedron.
References
http://mathworld.wolfram.com/Tetrahedron.html
Examples
>>> from skspatial.measurement import volume_tetrahedron
>>> volume_tetrahedron([0, 0], [3, 2], [-3, 5], [1, 8]) 0.0
>>> volume_tetrahedron([0, 0, 0], [2, 0, 0], [1, 1, 0], [0, 0, 1]).round(3) 0.333
>>> volume_tetrahedron([0, 0, 0], [1, 0, 0], [0, 1, 0], [0, 0, 1]).round(3) 0.167