DistancePointToAxisAlignedBox Struct Reference
[XEngineMath Library]

List of all members.

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Detailed Description

Returns the distance of the given point to the given axis-aligned box. The box is treated as being hollow.

	Given an axis-aligned box with center C and extents E = (e0, e1, e2) along
	each axis. Let the point be written as 
		P = C + s0*(1, 0, 0) + s1*(0, 1, 0) + s2*(0, 0, 1).
	Solving for the coefficients s = (s0, s1, s2) yields s = P - C.

	Depending on the values of s relative to the parameter space
	[-e0/2, e0/2] x [-e1/2, e1/2] x [-e2/2, e2/2] the closest point is either
	P itself, or a face point, an edge point or a vertex of the box. To 
	determine that point, for each pair of parallel faces of the box, 
	it must be determined which of the two faces is closest to P.
	

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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