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AVL.RegionMoment

Computes selected second-order moment of a region in regular and normalized ( divided by region area ) variant.

Namespace:AvlNet
Assembly:AVL.NET.dll

Syntax

C++
C#
 
public static void RegionMoment
(
	AvlNet.Region inRegion,
	AvlNet.RegionMomentType inMomentType,
	bool inCentral,
	out float outMoment,
	out float outNormMoment
)

Parameters

Name Type Range Default Description
inRegionAvlNet.RegionInput region.
inMomentTypeAvlNet.RegionMomentType
inCentralbool
outMomentfloat
outNormMomentfloat

Description

The operation computes the mathematical features of a shape called moments. Those are sums computed as follows:

\[ \begin{aligned} Moment_{2,0}(R) &= \sum_{p \in R} p_x^2 \\ Moment_{1,1}(R) &= \sum_{p \in R} p_x p_y \\ Moment_{0,2}(R) &= \sum_{p \in R} p_y^2 \end{aligned} \]

The summing is conducted over region pixels, while \( p_x \) and \( p_y \) denote, accordingly, x and y coordinate of a pixel.

When inCentral parameter is set, the region is shifted before computations, so that its mass center is at location (0,0).

Errors

List of possible exceptions:

Error type Description
DomainError Empty region on input in RegionMoment.
DomainError Not supported moment type in RegionMoment.

See also