intersect_ellipsoid_plane: Intersection of a 3d Ellipsoid and a Plane

In antiphon/Kdirectional: Analysis of anisotropy in point patterns using second order statistics

Intersection of a 3d Ellipsoid and a Plane

Description

Intersection of a 3d Ellipsoid and a Plane

Usage

intersect_ellipsoid_plane(x, n, q, r)

Arguments

x	ellipsoid, with $semi_axes and $rot components
n	normal of the plane
q	a point defining the plane, inside the ellipsoid
r	optional, perpendicular to n

Details

Note that there is no rotation as the result is in an alternative basis. The basis is stored in the returned ellipse's component $basis3d. Third column is n.

References

P. P. Klein,"On the Ellipsoid and Plane Intersection Equation," Appl. Math., vol. 3, no. November, pp. 1634-1640, 2012.

antiphon/Kdirectional documentation built on Feb. 13, 2023, 6:26 a.m.