AVL.RegionMoment(AvlNet.Region, AvlNet.RegionMomentType, bool, float, float)

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

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).

Error type	Description
DomainError	Not supported moment type in RegionMoment