intersection_sphere_line

compas.geometry.intersection_sphere_line(sphere, line)[source]

Computes the intersection of a sphere and a line.

There are 3 cases of sphere-line intersection : 1) they intersect in 2 points, 2) they intersect in 1 point (line tangent to sphere), or 3) they do not intersect.

Parameters

  • sphere (tuple) – center, radius of the sphere.

  • line (tuple) – xyz coordinates of two points defining the line.

Returns

None or point or list of points

Examples

>>> from compas.geometry import allclose

>>> sphere = (3.0, 7.0, 4.0), 10.0
>>> line = (1.0, 0, 0.5), (2.0, 1.0, 0.5)
>>> x1, x2 = intersection_sphere_line(sphere, line)

>>> allclose(x1, [11.634, 10.634, 0.500], 1e-3)
True
>>> allclose(x2, [-0.634, -1.634, 0.50], 1e-3)
True

References

https://gamedev.stackexchange.com/questions/75756/sphere-sphere-intersection-and-circle-sphere-intersection