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Computes the selected moment of an image in regular and normalized (divided by sum of pixel values) variant.

Name | Type | Description | |
---|---|---|---|

inImage | Image | Input image | |

inRoi | Region* | Range of pixels to be processed | |

inMomentType | ImageMomentType | ||

inCentral | Bool | ||

outMoment | Real | ||

outNormMoment | Real |

### Description

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

\[ \begin{aligned} Moment_{0,0}(Image,Roi) &= \sum_{p \in Roi} Image(p_x,p_y) \cdot 1 \\ Moment_{0,1}(Image,Roi) &= \sum_{p \in Roi} Image(p_x,p_y) \cdot p_y \\ Moment_{1,0}(Image,Roi) &= \sum_{p \in Roi} Image(p_x,p_y) \cdot p_x \\ Moment_{0,2}(Image,Roi) &= \sum_{p \in Roi} Image(p_x,p_y) \cdot p_y^2 \\ Moment_{1,1}(Image,Roi) &= \sum_{p \in Roi} Image(p_x,p_y) \cdot p_x p_y \\ Moment_{2,0}(Image,Roi) &= \sum_{p \in Roi} Image(p_x,p_y) \cdot p_x^2 \end{aligned} \]The summing is conducted over all pixels in inRoi region, while \( p_x \) and \( p_y \) denote, accordingly, x and y coordinate of a pixel.

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

### Hardware Acceleration

This operation supports automatic parallelization for multicore and multiprocessor systems.

### Errors

This filter can throw an exception to report error. Read how to deal with errors in Error Handling.

List of possible exceptions:

Error type | Description |
---|---|

DomainError |
Black image on input in ImageMoment. |

DomainError |
Empty region on input in ImageMoment. |

DomainError |
Region exceeds an input image in ImageMoment. |

### Complexity Level

This filter is available on **Advanced** Complexity Level.

### See Also

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

- ShapeMoment – Computes the selected second-order moment of a shape in regular and normalized ( divided by shape area ) variant.