DistancePointToBox Struct Reference
[XEngineMath Library]

List of all members.

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Detailed Description

Returns the distance of the given point to the given oriented box. The box is treated as being hollow.

	Given an oriented box with center C, orthonormal axes U0, U1, U2, and 
	extents E = (e0, e1, e2) along each axis. Let the point be written as 
		P = C + s0*U0 + s1*U1 + s2*U2.
	Solving for the coefficients s = (s0, s1, s2) yields 
		s0 = U0.(P - C)
		s1 = U1.(P - C)
		s2 = U2.(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