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Computes selected second-order moment of a region in regular and normalized ( divided by region area ) variant.
Namespace: | AvlNet |
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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 | |
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inRegion | AvlNet.Region | Input region. | |||
inMomentType | AvlNet.RegionMomentType | ||||
inCentral | bool | ||||
outMoment | float | ||||
outNormMoment | float |
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 |
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DomainError | Not supported moment type in RegionMoment |