PUBLIC

PProjection3dC::PProjection3dC(void) PProjection3dC::PProjection3dC(RealT,RealT,RealT,RealT,RealT,RealT,RealT,RealT,RealT,RealT,RealT,RealT,RealT,RealT,RealT,RealT) PProjection3dC::PProjection3dC(const PProjection3dC &) PProjection3dC::PProjection3dC(istream &) PProjection3dC::operator=(const PProjection3dC &) PProjection3dC::Matrix(void) PProjection3dC::Matrix(void) const PProjection3dC::operator()(IndexT,IndexT) const PProjection3dC::operator()(IndexT,IndexT) PProjection3dC::PProjection3d(void) const PProjection3dC::PProjection3d(void) PProjection3dC::Plane(IndexT) const PProjection3dC::SingularPoint(void) const PProjection3dC::Set(const PProjection3dC &) PProjection3dC::SetPlane(IndexT,const PPlane3dC &) PProjection3dC::operator*(const PPoint3dC &) const PProjection3dC::operator()(const PPoint3dC &) const PProjection3dC::operator*(const PProjection3dC &) const PProjection3dC::PProjection3dC(const Matrix4d4C &)

PProjection3dC
Projective transformation in 3D space
include	"amma/PProj3d.hh"
User Level:	Default
Library:	Mpg3
Example:	exMat2d.cc
Section:	Geometry.Projective.3-D
In Scope:	std

Comments:
The class PProjection3dC represents a projective transformation of objects in projective three-space. The projection is represented by a 4x4 rank 3 matrix. The indexes start from 0.

private Matrix4d4C

PPerspectivity3dC

PProjection3dC()

Creates the zero projection. All points are projected into not-valid projective object.

PProjection3dC(RealT b00,RealT b01,RealT b02,RealT b03,RealT b10,RealT b11,RealT b12,RealT b13,RealT b20,RealT b21,RealT b22,RealT b23,RealT b30,RealT b31,RealT b32,RealT b33)

Creates a new projection and assign the values b[ij].

PProjection3dC(const PProjection3dC & p)

Copy constructor.

PProjection3dC(istream & inS)

Creates a projection from the input stream.

const PProjection3dC & operator=(const PProjection3dC & p)

Assigment. Access to the elements of the projection. --------------------------------------------

Matrix4d4C & Matrix()

Access as matrix.

const Matrix4d4C & Matrix() const

Access as matrix.

RealT operator()(IndexT i,IndexT j) const

Returns the value of the element with indexes (i,j).

RealT & operator()(IndexT i,IndexT j)

Access to the value of the element with indexes (i,j).

const PProjection3dC & PProjection3d() const

Access to the constant object.

PProjection3dC & PProjection3d()

Access to the object.

PPlane3dC Plane(IndexT i) const

Returns the row 'i'.

PPoint3dC SingularPoint() const

Returns the singular points of the projection. If this projective transformation is a perspectivity, the singular point is the optical center of the projection. Setting of matrix elements. ---------------------------

void Set(const PProjection3dC & p)

Sets all elements of the projection according to the projection 'p'.

PProjection3dC & SetPlane(IndexT i,const PPlane3dC & p)

Sets the elements of the row 'i' according to the elements of the plane 'p'. Projective operations. ----------------------

PPoint3dC operator*(const PPoint3dC & p) const

Projects the point 'p' into the image point. The function is equivalent to the operator()(const PPoint3dC & p).

PPoint3dC operator()(const PPoint3dC & p) const

Projects the point 'p' into the image point. The function is equivalent to the operator*(const PPoint3dC & p).

PProjection3dC operator*(const PProjection3dC & p) const

Returns the composition of two projections. The result projects projective objects in the same way as they would be projected by projection 'p' at first and then by this projection.

PProjection3dC(const Matrix4d4C & m)

Creates a projectivity transformation defined by the matrix 'm'..