DistancePointToLine Struct Template Reference
[XEngineMath Library]

List of all members.

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Detailed Description

template<unsigned int Dimension>
struct XEngine::Math::DistanceAlgorithms::DistancePointToLine< Dimension >

Returns the distance of the given point to the given line.

	The line is parameterized as X = P + t * D where P is a point on the line,
	t is a real value and D is the line direction which is not necessarily
	unit-length. Given a point Q we want to find the closest distance of Q to 
	the line X. The closest point on the line to Q is the projection of Q onto 
	the line, or in other words
		Qproj = P + u * D where u = (D * (Q - P)) / (D * D)
	The distance from Q to the line is therefore:
		d = |Q - Qproj| = |Q - (P + u * D)|
	

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The documentation for this struct was generated from the following files:

• XDistanceAlgorithms.h
• XDistanceAlgorithms.cpp

 

Created with doxygen on: Thu Jan 6 14:12:15 2005 Copyright © by Martin Ecker