Functionals::Denoising Class Reference

Denoising functionals (for grayscale images!. More...

#include <functionals.h>

Classes
class	Evaluation
	Evaluation of denoising functionals. More...
class	Noise
	Generate noisy images. More...

Static Public Member Functions
static float	f_lorentzianPairwise (const Eigen::MatrixXf &x, float sigma, float lambda)
	Lorentzian pairwise term. More...
static void	df_lorentzianPairwise (const Eigen::MatrixXf &x, Eigen::MatrixXf &df_x, float sigma, float lambda)
	Derivative of Lorentzian pairwise term. More...
static float	f_squaredPairwise (const Eigen::MatrixXf &x, float lambda)
	Squared pairwise term. More...
static void	df_squaredPairwise (const Eigen::MatrixXf &x, Eigen::MatrixXf &df_x, float lambda)
	Derivative of squared pairwise term. More...
static float	f_smoothAbsolutePairwise (const Eigen::MatrixXf &x, float epsilon, float lambda)
	Smooth absolute pairwise term. More...
static void	df_smoothAbsolutePairwise (const Eigen::MatrixXf &x, Eigen::MatrixXf &df_x, float epsilon, float lambda)
	Derivative of smooth absolute pairwise term. More...
static float	g_absoluteUnary (const Eigen::MatrixXf &x, const Eigen::MatrixXf &x_0)
	Absolute unary, i.e. data, term. More...
static void	prox_g_absoluteUnary (const Eigen::MatrixXf &x, const Eigen::MatrixXf &x_0, Eigen::MatrixXf &prox_f_x, float alpha)
	Proximal map of absolute unary term. More...
static float	g_squaredUnary (const Eigen::MatrixXf &x, const Eigen::MatrixXf &x_0)
	Squared unary, i.e. data, term. More...
static void	prox_g_squaredUnary (const Eigen::MatrixXf &x, const Eigen::MatrixXf &x_0, Eigen::MatrixXf &prox_f_x, float alpha)
	Proximal map of squared unary term. More...

Detailed Description

Denoising functionals (for grayscale images!.

Member Function Documentation

void Functionals::Denoising::df_lorentzianPairwise ( const Eigen::MatrixXf &  x, Eigen::MatrixXf &  df_x, float  sigma, float  lambda  )

static

Derivative of Lorentzian pairwise term.

Parameters

[in]	x
[out]	df_x
[in]	sigma
[in]	lambda

static void Functionals::Denoising::df_smoothAbsolutePairwise ( const Eigen::MatrixXf &  x, Eigen::MatrixXf &  df_x, float  epsilon, float  lambda  )

static

Derivative of smooth absolute pairwise term.

Parameters

[in]	x
[out]	df_x
[in]	sigma
[in]	lambda

void Functionals::Denoising::df_squaredPairwise ( const Eigen::MatrixXf &  x, Eigen::MatrixXf &  df_x, float  lambda  )

static

Derivative of squared pairwise term.

Parameters

[in]	x
[out]	df_x
[in]	sigma
[in]	lambda

float Functionals::Denoising::f_lorentzianPairwise ( const Eigen::MatrixXf &  x, float  sigma, float  lambda  )

static

Lorentzian pairwise term.

Parameters

[in]	x
[in]	sigma
[in]	lambda

static float Functionals::Denoising::f_smoothAbsolutePairwise ( const Eigen::MatrixXf &  x, float  epsilon, float  lambda  )

static

Smooth absolute pairwise term.

Parameters

[in]	x
[in]	sigma
[in]	lambda

float Functionals::Denoising::f_squaredPairwise ( const Eigen::MatrixXf &  x, float  lambda  )

static

Squared pairwise term.

Parameters

[in]	x
[in]	sigma
[in]	lambda

float Functionals::Denoising::g_absoluteUnary ( const Eigen::MatrixXf &  x, const Eigen::MatrixXf &  x_0  )

static

Absolute unary, i.e. data, term.

Parameters

[in]	x
[in]	x_0

Returns

float Functionals::Denoising::g_squaredUnary ( const Eigen::MatrixXf &  x, const Eigen::MatrixXf &  x_0  )

static

Squared unary, i.e. data, term.

Parameters

[in]	x
[in]	x_0

Returns

void Functionals::Denoising::prox_g_absoluteUnary ( const Eigen::MatrixXf &  x, const Eigen::MatrixXf &  x_0, Eigen::MatrixXf &  prox_f_x, float  alpha  )

static

Proximal map of absolute unary term.

Parameters

[in]	x
[in]	x_0
[out]	prox_f_x
[in]	alpha

void Functionals::Denoising::prox_g_squaredUnary ( const Eigen::MatrixXf &  x, const Eigen::MatrixXf &  x_0, Eigen::MatrixXf &  prox_f_x, float  alpha  )

static

Proximal map of squared unary term.

Parameters

[in]	x
[in]	x_0
[out]	prox_f_x
[in]	alpha

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

• lib_ipiano/functionals.h