Functions to calculate Bhattacharyya overlap. More...

#include "pdf1d_bhat_overlap.h"
#include <pdf1d/pdf1d_sampler.h>
#include <vcl_cmath.h>
#include <vnl/vnl_vector.h>
#include <vnl/vnl_math.h>

Functions
double	pdf1d_bhat_overlap (const pdf1d_pdf &pdf1, const pdf1d_pdf &pdf2, int n_samples, bool use_analytic)
	Estimate Bhattacharyya overlap between two pdfs.
double	pdf1d_bhat_overlap (const pdf1d_pdf &pdf, const double x, const double p, int n)
double	pdf1d_bhat_overlap_gaussian (double m, double v, const double x, const double p, int n)
double	pdf1d_bhat_overlap_gaussians (double m1, double v1, double m2, double v2)
	Bhat. overlap between two 1D Gaussians.
double	pdf1d_bhat_overlap_gaussians (const pdf1d_pdf &g1, const pdf1d_pdf &g2)
	Bhat. overlap between two 1D Gaussians.
double	pdf1d_bhat_overlap_gaussian_with_pdf (double m, double v, const pdf1d_pdf &pdf, int n)
	Bhat. overlap between Gaussian and arbitrary pdf (estimate by sampling at n points).
double	pdf1d_bhat_overlap_gaussian_with_pdf (const pdf1d_pdf &g, const pdf1d_pdf &pdf, int n)
	Bhat. overlap between Gaussian and arbitrary pdf (estimate by sampling at n points).

Detailed Description

Functions to calculate Bhattacharyya overlap.

Author:: Tim Cootes

Definition in file pdf1d_bhat_overlap.cxx.

Function Documentation

double pdf1d_bhat_overlap	(	const pdf1d_pdf &	pdf1,
		const pdf1d_pdf &	pdf2,
		int	n_samples,
		bool	use_analytic
	)

Estimate Bhattacharyya overlap between two pdfs.

If use_analytic is true and an analytic form exists, it will be used. Otherwise n_samples are drawn from pdf1 and used to estimate the overlap

Definition at line 16 of file pdf1d_bhat_overlap.cxx.

double pdf1d_bhat_overlap	(	const pdf1d_pdf &	pdf,
		const double *	x,
		const double *	p,
		int	n
	)

Definition at line 41 of file pdf1d_bhat_overlap.cxx.

double pdf1d_bhat_overlap_gaussian	(	double	m,
		double	v,
		const double *	x,
		const double *	p,
		int	n
	)

Definition at line 60 of file pdf1d_bhat_overlap.cxx.

double pdf1d_bhat_overlap_gaussian_with_pdf	(	double	m,
		double	v,
		const pdf1d_pdf &	pdf,
		int	n
	)

Bhat. overlap between Gaussian and arbitrary pdf (estimate by sampling at n points).

Definition at line 92 of file pdf1d_bhat_overlap.cxx.

double pdf1d_bhat_overlap_gaussian_with_pdf	(	const pdf1d_pdf &	g,
		const pdf1d_pdf &	pdf,
		int	n
	)

Bhat. overlap between Gaussian and arbitrary pdf (estimate by sampling at n points).

Definition at line 117 of file pdf1d_bhat_overlap.cxx.

double pdf1d_bhat_overlap_gaussians	(	double	m1,
		double	v1,
		double	m2,
		double	v2
	)

Bhat. overlap between two 1D Gaussians.

Definition at line 77 of file pdf1d_bhat_overlap.cxx.

double pdf1d_bhat_overlap_gaussians	(	const pdf1d_pdf &	g1,
		const pdf1d_pdf &	g2
	)

Bhat. overlap between two 1D Gaussians.

Definition at line 86 of file pdf1d_bhat_overlap.cxx.