vcglib/vcg/space/box3.h

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/****************************************************************************
* VCGLib o o *
* Visual and Computer Graphics Library o o *
* _ O _ *
* Copyright(C) 2004 \/)\/ *
* Visual Computing Lab /\/| *
* ISTI - Italian National Research Council | *
* \ *
* All rights reserved. *
* *
* This program is free software; you can redistribute it and/or modify *
* it under the terms of the GNU General Public License as published by *
* the Free Software Foundation; either version 2 of the License, or *
* (at your option) any later version. *
* *
* This program is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
* GNU General Public License (http://www.gnu.org/licenses/gpl.txt) *
* for more details. *
* *
****************************************************************************/
/****************************************************************************
History
2004-02-24 00:44:21 +01:00
$Log: not supported by cvs2svn $
Revision 1.19 2008/03/05 11:48:08 pietroni
correct 1 error on DistancePoint3Box3 (if the point is inside the box return distance to the nearest face instead of zero)
Revision 1.18 2008/02/03 23:50:51 cignoni
Important Change. Now adding a null bbox to a bbox leave it unchanged (instead of trashing it)
Revision 1.17 2007/07/12 06:41:24 cignoni
added a missing static to the Construct() member
Revision 1.16 2007/03/22 18:12:00 pietroni
*** empty log message ***
2007-03-22 19:12:00 +01:00
Revision 1.15 2007/03/22 17:29:16 pietroni
*** empty log message ***
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Revision 1.14 2006/11/13 13:03:45 ponchio
Added GetBBox in Point3 (declaration) the body of the function is in box3.h
Revision 1.13 2006/09/28 13:37:13 m_di_benedetto
Added "const" to Collide()
2006-09-28 15:37:13 +02:00
Revision 1.12 2006/07/06 12:42:10 ganovelli
tolto il tipo enumerato axis
2006-07-06 14:42:10 +02:00
Revision 1.11 2006/06/29 13:22:04 ganovelli
Aggiunte funzioni che determinano il lato magiore (minore)
Revision 1.10 2006/06/09 07:26:37 m_di_benedetto
Added const qualifier to P() method.
2006-06-09 09:26:37 +02:00
Revision 1.9 2005/09/30 15:03:57 cignoni
Added Center-Radius Constructor
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Revision 1.8 2004/07/20 23:10:01 cignoni
Uncommented Add of matrix transformed bbox
Revision 1.7 2004/07/15 09:47:55 ganovelli
added function P(int i) to list the box's vertices
Revision 1.6 2004/07/07 23:26:25 cignoni
removed the infamous Inflate. Now only Offset exists
Revision 1.5 2004/03/05 17:51:28 tarini
Errorino "ScalarType" -> "BoxScalarType"
Revision 1.4 2004/03/03 14:32:13 cignoni
Yet another cr lf mismatch
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Revision 1.3 2004/02/23 23:44:21 cignoni
cr lf mismatch
2004-02-24 00:44:21 +01:00
Revision 1.2 2004/02/19 15:40:56 cignoni
Added doxygen groups
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Revision 1.1 2004/02/13 02:16:22 cignoni
First working release.
****************************************************************************/
#ifndef __VCGLIB_BOX3
#define __VCGLIB_BOX3
#include <vcg/space/point3.h>
#include <vcg/math/matrix44.h>
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#include <vcg/space/line3.h>
#include <vcg/space/plane3.h>
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namespace vcg {
/** \addtogroup space */
/*@{*/
/**
Templated class for 3D boxes.
This is the class for definition of a axis aligned bounding box in 3D space. It is stored just as two Point3
@param BoxScalarType (template parameter) Specifies the type of scalar used to represent coords.
*/
template <class BoxScalarType>
class Box3
{
public:
/// The scalar type
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typedef BoxScalarType ScalarType;
/// min coordinate point
Point3<BoxScalarType> min;
/// max coordinate point
Point3<BoxScalarType> max;
/// The bounding box constructor
inline Box3() { min.X()= 1;max.X()= -1;min.Y()= 1;max.Y()= -1;min.Z()= 1;max.Z()= -1;}
/// Copy constructor
inline Box3( const Box3 & b ) { min=b.min; max=b.max; }
/// Min Max constructor
inline Box3( const Point3<BoxScalarType> & mi, const Point3<BoxScalarType> & ma ) { min = mi; max = ma; }
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/// Point Radius Constructor
inline Box3(const Point3<BoxScalarType> & center, const BoxScalarType & radius) {
min = center-Point3<BoxScalarType>(radius,radius,radius);
max = center+Point3<BoxScalarType>(radius,radius,radius);
}
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/// The bounding box distructor
inline ~Box3() { }
/// Operator to compare two bounding box
inline bool operator == ( Box3<BoxScalarType> const & p ) const
{
return min==p.min && max==p.max;
}
/// Operator to dispare two bounding box
inline bool operator != ( Box3<BoxScalarType> const & p ) const
{
return min!=p.min || max!=p.max;
}
/** Varia le dimensioni del bounding box scalandole rispetto al parametro scalare.
@param s Valore scalare che indica di quanto deve variare il bounding box
*/
void Offset( const BoxScalarType s )
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{
Offset( Point3<BoxScalarType> (s,s,s));
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}
/** Varia le dimensioni del bounding box del valore fornito attraverso il parametro.
@param delta Point in 3D space
*/
void Offset( const Point3<BoxScalarType> & delta )
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{
min -= delta;
max += delta;
}
/// Initializing the bounding box
void Set( const Point3<BoxScalarType> & p )
{
min = max = p;
}
/// Set the bounding box to a null value
void SetNull()
{
min.X()= 1; max.X()= -1;
min.Y()= 1; max.Y()= -1;
min.Z()= 1; max.Z()= -1;
}
/** Function to add two bounding box
@param b Il bounding box che si vuole aggiungere
*/
void Add( Box3<BoxScalarType> const & b )
{
if(b.IsNull()) return; // Adding a null bbox should do nothing
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if(IsNull()) *this=b;
else
{
if(min.X() > b.min.X()) min.X() = b.min.X();
if(min.Y() > b.min.Y()) min.Y() = b.min.Y();
if(min.Z() > b.min.Z()) min.Z() = b.min.Z();
if(max.X() < b.max.X()) max.X() = b.max.X();
if(max.Y() < b.max.Y()) max.Y() = b.max.Y();
if(max.Z() < b.max.Z()) max.Z() = b.max.Z();
}
}
/** Funzione per aggiungere un punto al bounding box. Il bounding box viene modificato se il punto
cade fuori da esso.
@param p The point 3D
*/
void Add( const Point3<BoxScalarType> & p )
{
if(IsNull()) Set(p);
else
{
if(min.X() > p.X()) min.X() = p.X();
if(min.Y() > p.Y()) min.Y() = p.Y();
if(min.Z() > p.Z()) min.Z() = p.Z();
if(max.X() < p.X()) max.X() = p.X();
if(max.Y() < p.Y()) max.Y() = p.Y();
if(max.Z() < p.Z()) max.Z() = p.Z();
}
}
// Aggiunge ad un box un altro box trasformato secondo la matrice m
void Add( const Matrix44<BoxScalarType> &m, const Box3<BoxScalarType> & b )
{
const Point3<BoxScalarType> &mn= b.min;
const Point3<BoxScalarType> &mx= b.max;
Add(m*(Point3<BoxScalarType>(mn[0],mn[1],mn[2])));
Add(m*(Point3<BoxScalarType>(mx[0],mn[1],mn[2])));
Add(m*(Point3<BoxScalarType>(mn[0],mx[1],mn[2])));
Add(m*(Point3<BoxScalarType>(mx[0],mx[1],mn[2])));
Add(m*(Point3<BoxScalarType>(mn[0],mn[1],mx[2])));
Add(m*(Point3<BoxScalarType>(mx[0],mn[1],mx[2])));
Add(m*(Point3<BoxScalarType>(mn[0],mx[1],mx[2])));
Add(m*(Point3<BoxScalarType>(mx[0],mx[1],mx[2])));
}
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/** Calcola l'intersezione tra due bounding box. Al bounding box viene assegnato il valore risultante.
@param b Il bounding box con il quale si vuole effettuare l'intersezione
*/
void Intersect( const Box3<BoxScalarType> & b )
{
if(min.X() < b.min.X()) min.X() = b.min.X();
if(min.Y() < b.min.Y()) min.Y() = b.min.Y();
if(min.Z() < b.min.Z()) min.Z() = b.min.Z();
if(max.X() > b.max.X()) max.X() = b.max.X();
if(max.Y() > b.max.Y()) max.Y() = b.max.Y();
if(max.Z() > b.max.Z()) max.Z() = b.max.Z();
if(min.X()>max.X() || min.Y()>max.Y() || min.Z()>max.Z()) SetNull();
}
/** Trasla il bounding box di un valore definito dal parametro.
@param p Il bounding box trasla sulla x e sulla y in base alle coordinate del parametro
*/
void Translate( const Point3<BoxScalarType> & p )
{
min += p;
max += p;
}
/** Verifica se un punto appartiene ad un bounding box.
@param p The point 3D
@return True se p appartiene al bounding box, false altrimenti
*/
bool IsIn( Point3<BoxScalarType> const & p ) const
{
return (
min.X() <= p.X() && p.X() <= max.X() &&
min.Y() <= p.Y() && p.Y() <= max.Y() &&
min.Z() <= p.Z() && p.Z() <= max.Z()
);
}
/** Verifica se un punto appartiene ad un bounding box aperto sul max.
@param p The point 3D
@return True se p appartiene al bounding box, false altrimenti
*/
bool IsInEx( Point3<BoxScalarType> const & p ) const
{
return (
min.X() <= p.X() && p.X() < max.X() &&
min.Y() <= p.Y() && p.Y() < max.Y() &&
min.Z() <= p.Z() && p.Z() < max.Z()
);
}
/** Verifica se due bounding box collidono cioe' se hanno una intersezione non vuota. Per esempio
due bounding box adiacenti non collidono.
@param b A bounding box
@return True se collidoo, false altrimenti
*/
/* old version
bool Collide(Box3<BoxScalarType> const &b)
{
Box3<BoxScalarType> bb=*this;
bb.Intersect(b);
return bb.IsValid();
}
*/
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bool Collide(Box3<BoxScalarType> const &b) const
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{
return b.min.X()<max.X() && b.max.X()>min.X() &&
b.min.Y()<max.Y() && b.max.Y()>min.Y() &&
b.min.Z()<max.Z() && b.max.Z()>min.Z() ;
}
/** Controlla se il bounding box e' nullo.
@return True se il bounding box e' nullo, false altrimenti
*/
bool IsNull() const { return min.X()>max.X() || min.Y()>max.Y() || min.Z()>max.Z(); }
/** Controlla se il bounding box e' vuoto.
@return True se il bounding box e' vuoto, false altrimenti
*/
bool IsEmpty() const { return min==max; }
/// Restituisce la lunghezza della diagonale del bounding box.
BoxScalarType Diag() const
{
return Distance(min,max);
}
/// Calcola il quadrato della diagonale del bounding box.
BoxScalarType SquaredDiag() const
{
return SquaredDistance(min,max);
}
/// Calcola il centro del bounding box.
Point3<BoxScalarType> Center() const
{
return (min+max)/2;
}
/// Compute bounding box size.
Point3<BoxScalarType> Dim() const
{
return (max-min);
}
/// Returns global coords of a local point expressed in [0..1]^3
Point3<BoxScalarType> LocalToGlobal(Point3<BoxScalarType> const & p) const{
return Point3<BoxScalarType>(
min[0] + p[0]*(max[0]-min[0]),
min[1] + p[1]*(max[1]-min[1]),
min[2] + p[2]*(max[2]-min[2]));
}
/// Returns local coords expressed in [0..1]^3 of a point in 3D
Point3<BoxScalarType> GlobalToLocal(Point3<BoxScalarType> const & p) const{
return Point3<BoxScalarType>(
(p[0]-min[0])/(max[0]-min[0]),
(p[1]-min[1])/(max[1]-min[1]),
(p[2]-min[2])/(max[2]-min[2])
);
}
/// Calcola il volume del bounding box.
BoxScalarType Volume() const
{
return (max.X()-min.X())*(max.Y()-min.Y())*(max.Z()-min.Z());
}
/// Calcola la dimensione del bounding box sulla x.
inline BoxScalarType DimX() const { return max.X()-min.X();}
/// Calcola la dimensione del bounding box sulla y.
inline BoxScalarType DimY() const { return max.Y()-min.Y();}
/// Calcola la dimensione del bounding box sulla z.
inline BoxScalarType DimZ() const { return max.Z()-min.Z();}
/// Calcola il lato di lunghezza maggiore
inline unsigned char MaxDim() const {
int i;
Point3<BoxScalarType> diag = max-min;
if(diag[0]>diag[1]) i=0; else i=1;
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return (diag[i]>diag[2])? i: 2;
}
/// Calcola il lato di lunghezza minore
inline unsigned char MinDim() const {
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int i;
Point3<BoxScalarType> diag = max-min;
if(diag[0]<diag[1]) i=0; else i=1;
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return (diag[i]<diag[2])? i: 2;
}
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template <class Q>
inline void Import( const Box3<Q> & b )
{
min.Import(b.min);
max.Import(b.max);
}
template <class Q>
static inline Box3 Construct( const Box3<Q> & b )
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{
return Box3(Point3<BoxScalarType>::Construct(b.min),Point3<BoxScalarType>::Construct(b.max));
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}
/// gives the ith box vertex in order: (x,y,z),(X,y,z),(x,Y,z),(X,Y,z),(x,y,Z),(X,y,Z),(x,Y,Z),(X,Y,Z)
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Point3<BoxScalarType> P(const int & i) const {
return Point3<BoxScalarType>(
min[0]+ (i%2) * DimX(),
min[1]+ ((i / 2)%2) * DimY(),
min[2]+ (i>3)* DimZ());
}
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}; // end class definition
template <class T> Box3<T> Point3<T>::GetBBox(Box3<T> &bb) const {
bb.Set( *this );
}
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template <class ScalarType>
ScalarType DistancePoint3Box3(const Point3<ScalarType> &p,
const Box3<ScalarType> &b)
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{
///if fall inside return distance to a face
if (b.IsIn(p))
{
const ScalarType dx = std::min<ScalarType>(b.max.X()-p.X(), p.X()-b.min.X());
const ScalarType dy = std::min<ScalarType>(b.max.Y()-p.Y(), p.Y()-b.min.Y());
const ScalarType dz = std::min<ScalarType>(b.max.Z()-p.Z(), p.Z()-b.min.Z());
return std::min<ScalarType>(dx, std::min<ScalarType>(dy, dz));
}
{
ScalarType sq_dist = ScalarType(0);
for (int i=0; i<3; ++i)
{
ScalarType delta = ScalarType(0);
if (p[i] < b.min[i]) delta = p[i] - b.min[i];
else if (p[i] > b.max[i]) delta = p[i] - b.max[i];
sq_dist += delta * delta;
}
return Sqrt(sq_dist);
}
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}
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typedef Box3<short> Box3s;
typedef Box3<int> Box3i;
typedef Box3<float> Box3f;
typedef Box3<double> Box3d;
/*@}*/
} // end namespace
#endif
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