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HistogramDistance

Header:	AVL.h
Namespace:	avl
Module:	FoundationBasic

Computes the numeric distance between two histograms.

Syntax

void avl::HistogramDistance
(
	const avl::Histogram& inHistogram1,
	const avl::Histogram& inHistogram2,
	avl::DistanceMeasure::Type inDistanceMeasure,
	double& outDistance
)

Parameters

Name	Type	Description
inHistogram1	const Histogram&	First input histogram
inHistogram2	const Histogram&	Second input histogram
inDistanceMeasure	DistanceMeasure::Type	Measure of distance
outDistance	double&	Output distance value

Description

The operation computes the approximate difference between two histograms using the selected distance measure.

If the inDistanceMeasure is set to MeanError then the resulting outDistance is the average difference between corresponding bins of the histograms.
If the inDistanceMeasure is set to MeanSquaredError then the resulting outDistance is the average squared difference between corresponding bins of the histograms.

Examples

Mean Squared Error between the sample histograms equals 68302.590.

Mean Squared Error between the sample histograms equals 3043686.

Remarks

inHistogram1 and inHistogram2 must have the same BinSizes, otherwise an error with appropriate description occurs.

Errors

List of possible exceptions:

Error type	Description
DomainError	Empty histograms on input in HistogramDistance.
DomainError	Inconsistent histogram bin sizes / domains in HistogramDistance.
DomainError	Not supported DistanceMeasure in HistogramDistance.