the equation of the plane is given in the Hessian form i.e. More...

Detailed Description

the equation of the plane is given in the Hessian form i.e.

uX+d = 0 where u : the Unitary Normal Vector of the plane d : the distance to the origine

Definition at line 19 of file plane3D.hpp.

#include <plane3D.hpp>

Public Member Functions
Plane3D &	operator= (const Plane3D &srcPlane)
void	setPlane (Point3D &p1, Point3D &p2, Point3D &p3)
	set the plane in the Hessian Form which pass par the three given points
void	info ()
void	clear ()
bool	isBaseNormal (int &nType)
void	setBaseNormal (int nType)
bool	isVertical ()
double	calculateCosDihedralAngle (Plane3D &plane3D_2)
	calculate the Dihedral angle between the tow planes
double	signedDistance (const Point3D &p) const
bool	isCoplanar (Plane3D &plane3D_2, double dist, double cosDihedral)
	test of coplanarity of the plane3d with the given one
Public Attributes
double	u [3]
double	d0

Member Function Documentation

double jafar::model3d::Plane3D::calculateCosDihedralAngle ( Plane3D & plane3D_2 ) [inline]

calculate the Dihedral angle between the tow planes

The dihedral angle is the angle theta between two planes. The dihedral angle between the planes a_1x+b_1y+c_1z+d_1 = 0 (1) a_2x+b_2y+c_2z+d_2 = 0 (2)

which have normal vectors n_1==(a_1,b_1,c_1) and n_2==(a_2,b_2,c_2) is simply given via the dot product of the normals, costheta = n_1.n_2

Definition at line 57 of file plane3D.hpp.

bool jafar::model3d::Plane3D::isCoplanar	(	Plane3D &	plane3D_2,
		double	dist,
		double	cosDihedral
	)

test of coplanarity of the plane3d with the given one

the tow planes 3d are coplanar if

void jafar::model3d::Plane3D::setPlane	(	Point3D &	p1,
		Point3D &	p2,
		Point3D &	p3
	)

set the plane in the Hessian Form which pass par the three given points

Note:: the three points MUST not be coliear no test on that is given, but it is the resposability of the user

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