An arbitrarily oriented bounding box (OBB) that includes some geometric object within box boundaries. More...

#include <mb_oriented_box.h>

Public Member Functions
	MbOrientedBox ()
	Construct an empty box.

MbOrientedBox &	operator= (const MbOrientedBox &)
	Assignment operator.

const MbCartPoint3D &	Centre () const
	Geometric center of the bounding box is in the middle of the main diagonal of PE.

const MbCartPoint3D &	Vertex (size_t i) const
	One of the eight vertices by 0-based index. More...

MbVector3D	SemiDiagonal () const
	Half of the longest diagonal of the parallelepiped in the proper coordinate system.

double	SizeMax () const
	The size of the box is equal to the maximum of the dimensions along its axes.

bool	IsEmpty () const
	The check for emptiness. More...

bool	Intersect (const MbOrientedBox &) const
	Whether the box intersects another box or not. More...

void	Include (const MbCartPoint3D &)
	Include a point in the box subset with orientation preserved.

MbOrientedBox &	SetOXY (const MbCartPoint3D &centre, const MbVector3D &, const MbVector3D &)
	Set the position and orientation of PE. More...

MbOrientedBox &	SetSize (double wx, double wy, double wz)
	Sets the semi-dimensions of the parallelepiped by the axies (X,Y,Z).

MbOrientedBox &	SetEmpty ()
	Set the box empty.

MbOrientedBox &	Transform (const MbMatrix3D &)
	Transform according to the matrix. More...

MbOrientedBox &	Move (const MbVector3D &)
	Translate to the given vector.

const MbVector3D	LowerBnd () const
	The lower bound of the interval radius-vector covering the box range (projections on the box axies but via the world origin).

const MbVector3D	UpperBnd () const
	The upper bound of the interval radius-vector covering the box range (in the local CS).

Detailed Description

An arbitrarily oriented bounding box (OBB) that includes some geometric object within box boundaries.

A bounding box (parallelepiped, PE) specifies a domain of 3D-space that more or less tightly packs some geometric object.
It is used for quick estimation of the proximity or non-intersection of three-dimensional objects which are contained in the "box".

Member Function Documentation

◆ Vertex()

const MbCartPoint3D& MbOrientedBox::Vertex ( size_t i ) const

inline

One of the eight vertices by 0-based index.

Note: The rule of numbering vertices is given in "mb_oriented_box.h" below the function declaration.

◆ IsEmpty()

bool MbOrientedBox::IsEmpty ( ) const

inline

The check for emptiness.

A bounding box is empty if it doesn't contain any points of 3D-space.

◆ Intersect()

bool MbOrientedBox::Intersect ( const MbOrientedBox & ) const

Whether the box intersects another box or not.

Returns: Returns true if it intersects.

◆ SetOXY()

MbOrientedBox& MbOrientedBox::SetOXY	(	const MbCartPoint3D &	centre,
		const MbVector3D &	,
		const MbVector3D &
	)

Set the position and orientation of PE.

The func sets the position and orientation, namely coordinates of center and vector pair of (X,Y)-axies.

◆ Transform()

MbOrientedBox& MbOrientedBox::Transform ( const MbMatrix3D & )

Transform according to the matrix.

Note: The correct result is only guaranteed for isometric transformations (rotations,translations and reflections) or uniform scalings.

The documentation for this class was generated from the following file:

mb_oriented_box.h