cloud_geometry::norms Namespace Reference

Functions
double	B_Norm (float *A, float *B, int dim)
	Computes the Bhattacharyya (B) distance between two nD points.
double	CS_Norm (float *A, float *B, int dim)
	Computes the Chi-Square (CS) distance between two nD points.
double	Div_Norm (float *A, float *B, int dim)
	Computes the Divergence distance between two nD points.
double	JM_Norm (float *A, float *B, int dim)
	Computes the Jeffries-Matusita (JM) distance between two nD points (aka Hellinger distance)
double	K_Norm (float *A, float *B, int dim, double P1, double P2)
	Computes the Kolmogorov distance between two nD points (Same as L1 ! - when P1 = P2)
double	KL_Norm (float *A, float *B, int dim)
	Computes the Kullback-Leibler distance between two nD points.
double	L1_Norm (float *A, float *B, int dim)
	Compute the L1 norm between two nD points (aka aka Manhattan norm, rectilinear distance, Minkowski's L1 distance, taxi cab metric, or city block distance) L1 = Sum (|x_i|), i=1..n.
double	L2_Norm (float *A, float *B, int dim)
	Compute the L2 norm between two nD points (aka Euclidean metric) L2 = SQRT (Sum (|x_i|^2)), i=1..n.
double	L2_Norm_SQR (float *A, float *B, int dim)
	Compute the squared L2 norm between two nD points (aka Euclidean metric) L2_SQR = Sum (|x_i|^2), i=1..n.
double	Linf_Norm (float *A, float *B, int dim)
	Computes the Linf norm between two nD points (aka Minkowski distance, Chebyshev norm, or supremum norm) Linf = max(|xi|), i=1..n.
double	PF_Norm (float *A, float *B, int dim, double P1, double P2)
	Computes the Patrick-Fisher distance between two nD points (Same as L2 ! - when P1 = P2)
double	Sublinear_Norm (float *A, float *B, int dim)
	Computes the Sublinear kernel distance between two nD points.

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Function Documentation

double cloud_geometry::norms::B_Norm	(	float *	A,
		float *	B,
		int	dim
	)		[inline]

Computes the Bhattacharyya (B) distance between two nD points.

Parameters:

A	first point
B	second point
dim	number of dimensions

Definition at line 141 of file norms.h.

double cloud_geometry::norms::CS_Norm	(	float *	A,
		float *	B,
		int	dim
	)		[inline]

Computes the Chi-Square (CS) distance between two nD points.

Parameters:

A	first point
B	second point
dim	number of dimensions

Definition at line 180 of file norms.h.

double cloud_geometry::norms::Div_Norm	(	float *	A,
		float *	B,
		int	dim
	)		[inline]

Computes the Divergence distance between two nD points.

Parameters:

A	first point
B	second point
dim	number of dimensions

Definition at line 199 of file norms.h.

double cloud_geometry::norms::JM_Norm	(	float *	A,
		float *	B,
		int	dim
	)		[inline]

Computes the Jeffries-Matusita (JM) distance between two nD points (aka Hellinger distance)

Parameters:

A	first point
B	second point
dim	number of dimensions

Definition at line 124 of file norms.h.

double cloud_geometry::norms::K_Norm	(	float *	A,
		float *	B,
		int	dim,
		double	P1,
		double	P2
	)		[inline]

Computes the Kolmogorov distance between two nD points (Same as L1 ! - when P1 = P2)

Parameters:

A	first point
B	second point
dim	number of dimensions
P1	P1
P2	P2

Definition at line 238 of file norms.h.

double cloud_geometry::norms::KL_Norm	(	float *	A,
		float *	B,
		int	dim
	)		[inline]

Computes the Kullback-Leibler distance between two nD points.

Parameters:

A	first point
B	second point
dim	number of dimensions

Definition at line 254 of file norms.h.

double cloud_geometry::norms::L1_Norm	(	float *	A,
		float *	B,
		int	dim
	)		[inline]

Compute the L1 norm between two nD points (aka aka Manhattan norm, rectilinear distance, Minkowski's L1 distance, taxi cab metric, or city block distance) L1 = Sum (|x_i|), i=1..n.

Parameters:

A	first point
B	second point
dim	number of dimensions

Definition at line 51 of file norms.h.

double cloud_geometry::norms::L2_Norm	(	float *	A,
		float *	B,
		int	dim
	)		[inline]

Compute the L2 norm between two nD points (aka Euclidean metric) L2 = SQRT (Sum (|x_i|^2)), i=1..n.

Parameters:

A	first point
B	second point
dim	number of dimensions

Definition at line 87 of file norms.h.

double cloud_geometry::norms::L2_Norm_SQR	(	float *	A,
		float *	B,
		int	dim
	)		[inline]

Compute the squared L2 norm between two nD points (aka Euclidean metric) L2_SQR = Sum (|x_i|^2), i=1..n.

Parameters:

A	first point
B	second point
dim	number of dimensions

Definition at line 69 of file norms.h.

double cloud_geometry::norms::Linf_Norm	(	float *	A,
		float *	B,
		int	dim
	)		[inline]

Computes the Linf norm between two nD points (aka Minkowski distance, Chebyshev norm, or supremum norm) Linf = max(|xi|), i=1..n.

Parameters:

A	first point
B	second point
dim	number of dimensions

Definition at line 106 of file norms.h.

double cloud_geometry::norms::PF_Norm	(	float *	A,
		float *	B,
		int	dim,
		double	P1,
		double	P2
	)		[inline]

Computes the Patrick-Fisher distance between two nD points (Same as L2 ! - when P1 = P2)

Parameters:

A	first point
B	second point
dim	number of dimensions
P1	P1
P2	P2

Definition at line 220 of file norms.h.

double cloud_geometry::norms::Sublinear_Norm	(	float *	A,
		float *	B,
		int	dim
	)		[inline]

Computes the Sublinear kernel distance between two nD points.

Parameters:

A	first point
B	second point
dim	number of dimensions

Definition at line 163 of file norms.h.