Start » Filter Reference » Image » Image Features » ImageMoment
Advanced| Module: | FoundationLite |
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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.
- PolygonMoment – Computes the selected second-order moment of a polygon in regular and normalized ( divided by polygon area ) variant.