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H Class Reference

#include <G.hpp>

Collaboration diagram for H:

[legend]List of all members.

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Detailed Description

Givens Matrix.

Author:

Bernard De Cuyper

Version:

0.05

Date:

30/12/2003

 
Purpose:        Define the concept of a Givens Matrix
                The Givens matrix is a transformation matrix which reduces a vector to a single dimension.
                The resulting vector has only one non zero item. (sigma, 0,...,0)

                The Givens matrix allows to capture the transformation of the vector.
                Because it is symmetric and orthogonal, the transposition and inversions are equal.

                Another advantage: 
                It can be represented by a single vector, and all transformations
                of vectors or matrices are cheap. (No explicit matix is needed)

                Implementation remark: 
                We did not inherit the Givens matrix, because it is expected to be fast and cheap.
                Also, we must remember that it may be used heavily on very large images.(Windowed ICA) 

                It is invloved in QR methods(triangulisation and eigenvectors), 
                bidiagonalisation for SVD, and Hessenberg matrix building.
                

@ Copyrights: Bernard De Cuyper & Eddy Fraiha 2003, Eggs & Pictures. MIT/Open BSD copyright model.

Public Methods
	H (int n, double value=0.0)
	H (int n, double *x, bool xUpdate=false)
	H (RealVector &x, bool xUpdate=false)
	H (const H &m)
H	operator= (const H &m)
	~H ()
H *	copy ()
double	computeHx (RealVector &x, bool xUpdate=false)
double	computeHx (double *x)
int	size ()
int	getWidth () const
int	getHeight () const
double	getBeta ()
void	setU0 (int i, double value)
double	getU0 (int i) const
void	setU (int i, double value)
double	getU (int i) const
double	getSigma ()
RealVector &	getU ()
RealVector *	Hx (RealVector &v, RealVector *dest=0)
double *	Hx (double *v, double *dest=0)
RealSMatrix *	HA (RealSMatrix &A, RealSMatrix *dest=0)
RealSMatrix *	AH (RealSMatrix &A, RealSMatrix *dest=0)
void	output ()
void	output (FILE *file)
Public Attributes
H	t ()
H	inverse ()
Private Attributes
int	width
RealVector	u
double	sigma
Friends
RealVector	operator * (H &h, RealVector &v)
RealSMatrix	operator * (RealSMatrix &m, H &h)
RealSMatrix	operator * (H &h, RealSMatrix &m)

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

• H.hpp
• H.cpp

Restoreinpaint sourceforge project `C++/Java Image Processing, Restoration, Inpainting Project'.

Bernard De Cuyper: Open Project Leader: Concept, design and development. Bernard De Cuyper & Eddy Fraiha 2002, 2003. Bernard De Cuyper 2004. Open and free, for friendly usage only. Modifications on Belgium ground of this piece of artistic work, by governement institutions or companies, must be notified to Bernard De Cuyper.