A class to demonstrate simple denoising of the bands of a steerable pyramid Reference: "Bivariate Shrinkage Functions for Wavelet-based Image Denoising", Sendur, L. and Selesnick, I., IEEE Transactions on Signal Processing, 50(11):2744-2756, November 2002. More...

#include <PyramidDenoiser.h>

Public Member Functions
	PyramidDenoiser (Pyramid< double > *pPyramid, ShrinkageRule myRule, double sigma)
	Constructor. More...

	~PyramidDenoiser ()
	Destructor.

double	GetSigmaNoise ()
	Gets the sigma of the noise.

void	SetSigmaNoise (double sigmaNoise)
	Sets the sigma of the noise. More...

double	GetScaleFactorResidualLevel ()
	gets scaling factor between coefficients magnitude in residual scale versus spatial domain Specifically to scale noise std deviation in spatial domain and residual level

void	SetScaleFactorResidualLevel (double factor)
	sets scaling factor between coefficients magnitude in residual scale versus spatial domain More...

double	GetScaleFactorResidualToRecursiveLevel ()
	gets scaling factor between coefficients magnitude in residual scale versus first recursive scale

void	SetScaleFactorResidualToRecursiveLevel (double factor)
	sets scaling factor between coefficients magnitude in residual scale versus first recursive scale More...

double	GetScaleFactorRecursiveLevel ()
	gets scaling factor between coefficients magnitude in two successice recursive scales

void	SetScaleFactorRecursiveLevel (double factor)
	gets scaling factor between coefficients magnitude in two successice recursive scales More...

void	Run ()
	Runs the denoising algorithm.

Static Public Member Functions
static double	ComputeBivariateShrinkagefactor (double w1, double w2, double sigmaSignal, double sigmaNoise)
	Computes the shrinkage factor for the wavelet coefficients using the bivariate rule. More...

static double	ComputeWienerShrinkagefactor (double sigmaSignal, double sigmaNoise)
	Computes the shrinkage factor for the wavelet coefficients using the Wiener rule. More...

static double	ComputeLaplacianShrinkagefactor (double w1, double sigmaSignal, double sigmaNoise)
	Computes the shrinkage factor for the wavelet coefficients using the Laplacian rule. More...

static double	EstimateSigmaSignal (ArrayGrid< double > *pBand, int xCenter, int yCenter, double sigmaNoise, int windowSize)
	Estimates the standard deviation of the signal in a given band around a given pixel (window size specified as a member variable) More...

Detailed Description

A class to demonstrate simple denoising of the bands of a steerable pyramid Reference: "Bivariate Shrinkage Functions for Wavelet-based Image Denoising", Sendur, L. and Selesnick, I., IEEE Transactions on Signal Processing, 50(11):2744-2756, November 2002.

Wiener : p2746 formula (10)
Laplacian : p2746 formula (12)
Bivariate : p2748 formula (30)

URL: http://taco.poly.edu/selesi/bishrink/index.html

Constructor & Destructor Documentation

stira::pyramidapplications::PyramidDenoiser::PyramidDenoiser	(	Pyramid< double > *	pPyramid,
		ShrinkageRule	myRule,
		double	sigma
	)

Constructor.

Parameters

pPyramid	a steerable pyramid to be denoised
myRule	shrinkage rule to apply to the coefficients
sigma	sigma of the noise

References stira::imagedata::Pyramid< T >::HasResidualScale().

Member Function Documentation

double stira::pyramidapplications::PyramidDenoiser::ComputeBivariateShrinkagefactor	(	double	w1,
		double	w2,
		double	sigmaSignal,
		double	sigmaNoise
	)

static

Computes the shrinkage factor for the wavelet coefficients using the bivariate rule.

Parameters

w1	coefficient in current subband
w2	coefficient that corresponds with w1 in its parent scale
sigmaSignal	estimated standard deviation of the local signal in a neighbourhood of w1 (only same band)
sigmaNoise	noise level (is not exactly sigma of the noise in case of steerable pyramids)

Referenced by stira::deconvolve::GNCDeconvolve::GetMSEDifferenceThreshold().

double stira::pyramidapplications::PyramidDenoiser::ComputeLaplacianShrinkagefactor	(	double	w1,
		double	sigmaSignal,
		double	sigmaNoise
	)

static

Computes the shrinkage factor for the wavelet coefficients using the Laplacian rule.

Parameters

w1	coefficient in current subband
sigmaSignal	estimated standard deviation of the local signal in a neighbourhood of w1 (only same band)
sigmaNoise	noise level (is not exactly sigma of the noise in case of steerable pyramids)

References stira::imagedata::GridStatistics< T >::GetGridMean(), stira::imagedata::GridStatistics< T >::GetGridVariance(), stira::imagedata::ArrayGrid< T >::GetHeight(), stira::imagedata::PyramidLevel< T >::GetNumberOfOrientations(), stira::imagedata::PyramidLevel< T >::GetOrientedBand(), stira::imagedata::ArrayGrid< T >::GetValue(), stira::imagedata::ArrayGrid< T >::GetWidth(), and stira::imagedata::ArrayGrid< T >::SetValue().

double stira::pyramidapplications::PyramidDenoiser::ComputeWienerShrinkagefactor	(	double	sigmaSignal,
		double	sigmaNoise
	)

static

Computes the shrinkage factor for the wavelet coefficients using the Wiener rule.

Parameters

sigmaSignal	estimated standard deviation of the local signal in a neighbourhood of w1 (only same band)
sigmaNoise	noise level (is not exactly sigma of the noise in case of steerable pyramids)

double stira::pyramidapplications::PyramidDenoiser::EstimateSigmaSignal	(	ArrayGrid< double > *	pBand,
		int	xCenter,
		int	yCenter,
		double	sigmaNoise,
		int	windowSize
	)

static

Estimates the standard deviation of the signal in a given band around a given pixel (window size specified as a member variable)

Parameters

pBand	the band in which to estimate the local variance
xCenter	x coordinate of center pixel of the local window in which to estimate the local variance
yCenter	y coordinate of center pixel of the local window in which to estimate the local variance
sigmaNoise	sigma of the noise

References stira::imagedata::GridStatistics< T >::ComputeLocalMean(), stira::imagedata::GridStatistics< T >::ComputeLocalVariance(), stira::imagedata::ArrayGrid< T >::GetHeight(), and stira::imagedata::ArrayGrid< T >::GetWidth().

Referenced by stira::deconvolve::GNCDeconvolve::GetMSEDifferenceThreshold().

void stira::pyramidapplications::PyramidDenoiser::SetScaleFactorRecursiveLevel ( double factor )

gets scaling factor between coefficients magnitude in two successice recursive scales

Parameters

factor factor to set

void stira::pyramidapplications::PyramidDenoiser::SetScaleFactorResidualLevel ( double factor )

sets scaling factor between coefficients magnitude in residual scale versus spatial domain

Parameters

factor factor to set

void stira::pyramidapplications::PyramidDenoiser::SetScaleFactorResidualToRecursiveLevel ( double factor )

sets scaling factor between coefficients magnitude in residual scale versus first recursive scale

Parameters

factor factor to set

void stira::pyramidapplications::PyramidDenoiser::SetSigmaNoise ( double sigmaNoise )

Sets the sigma of the noise.

Parameters

sigmaNoise sigma of the noise to set

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

pyramidapplications/pyramidapplications/PyramidDenoiser.h
pyramidapplications/pyramidapplications/PyramidDenoiser.cpp

Public Member Functions

Static Public Member Functions

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation