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RegionElongation

Header:	AVL.h
Namespace:	avl
Module:	FoundationBasic

Computes the elongation factor of a region ( perfect circle has minimal elongation equal 1.0 ).

Syntax

void avl::RegionElongation
(
	const avl::Region& inRegion,
	float& outElongation
)

Parameters

	Name	Type	Default	Description
	inRegion	const Region&		Input region
	outElongation	float&

Description

Elongation is a measure of how long the shape is in relation to its width. The perfect circle has the minimal elongation equal to 1.0, while the upper bound doesn't exist. The operation internally approximates the region with an ellipse, and then computes the result as: Where L denotes the longer axis of the approximating ellipse, and S denotes the shorter one.

Hints

If the input region is not guaranteed to be non-empty, precede this filter with SkipEmptyRegion.

Examples

Elongation of the sample region equals to 1.702.

Elongation of the sample region equals to 3.168.

Errors

List of possible exceptions:

Error type	Description
DomainError	Empty region on input in RegionElongation.