intersectLinePlane.m File Reference

INTERSECTLINEPLANE Intersection point between a 3D line and a plane. More...

Functions
function point =	intersectLinePlane (line, plane, varargin)
	INTERSECTLINEPLANE Intersection point between a 3D line and a plane.

Detailed Description

INTERSECTLINEPLANE Intersection point between a 3D line and a plane.

Function Documentation

intersectLinePlane()

function point = intersectLinePlane	(		line,
			plane,
			varargin )

INTERSECTLINEPLANE Intersection point between a 3D line and a plane.

PT = intersectLinePlane(LINE, PLANE) Returns the intersection point of the given line and the given plane. LINE: [x0 y0 z0 dx dy dz] PLANE: [x0 y0 z0 dx1 dy1 dz1 dx2 dy2 dz2] PT: [xi yi zi] If LINE and PLANE are parallel, return [NaN NaN NaN]. If LINE (or PLANE) is a matrix with 6 (or 9) columns and N rows, result is an array of points with N rows and 3 columns.

PT = intersectLinePlane(LINE, PLANE, TOL) Specifies the tolerance factor to test if a line is parallel to a plane. Default is 1e-14.

Example % define horizontal plane through origin plane = [0 0 0 1 0 0 0 1 0]; % intersection with a vertical line line = [2 3 4 0 0 1]; intersectLinePlane(line, plane) ans = 2 3 0 % intersection with a line "parallel" to plane line = [2 3 4 1 2 0]; intersectLinePlane(line, plane) ans = NaN NaN NaN

See also

lines3d, planes3d, points3d, clipLine3d

References crossProduct3d(), min, and n.

Referenced by clipLine3d().

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