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ImageLocalMinima


Module: FoundationBasic

Finds image locations characterized by locally minimal pixel values.

Applications

Detection of characteristic points, usually after some image transformations.
Name Type Range Description
Input value inImage Image Input image
Input value inRoi Region* Range of pixels to be processed
Input value inConsiderLowlands Bool Consider multi-pixel minima (lowlands) or not
Input value inMinValue Real* Minimal value of minimum to be considered
Input value inMaxValue Real* Maximal value of minimum to be considered
Input value inMinDistance Real 0.0 - Minimal distance between two found minima
Input value inMinimaVerification ImageLocalExtremaVerification* Minima verification structure
Output value outLocalMinima Extremum2DArray Found local minima
Output value outMinimaRegions RegionArray Regions of local minima (plateaus and singletons)

Description

The operation finds local minima on the image inImage within specific region inRoi.

It returns three arrays of the same length:

  • Subpixel precise positions of the minima
  • Values of the minima
  • Regions of equally bright pixels around the minima

If the given image consists of more than one channel, they are averaged to obtain monochromatic image, so that the values of the extrema are of type float.

There are two types of local extrema:

  • Peak/hole: single pixel (strictly) brighter/darker than its neighbourhood (eight pixels). The extremum's position is determined with subpixel precision using gradient method with Sobel gradient. Returned region contains only one pixel.
  • Plateau/lowland: a connected set of equally bright pixels (strictly) brighter/darker from their neighbourhood. Returned position for this extremum is the center of mass of the plateau.

If parameter inConsiderLowlands is set to true, the filter finds both types. Otherwise, it finds only strict minima.

Parameter inMaxValue determines the maximal value of the minimum to be considered.

Hints

  • If some points are not detected, try decreasing inMaxValue or setting inConsiderLowlands to True.
  • Consider adding some Gaussian smoothing before this filter.

Examples

Example image

Output for example image

Remarks

If a plateau/lowland is concave, it's center of mass may lie outside it. In such case, the value of the extremum (which is equal to the common value of its pixels) may be different from the value of pixel indicated by position of the extremum.

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 Region exceeds an input image in ImageLocalMinima.

Complexity Level

This filter is available on Advanced Complexity Level.

See Also

  • ImageLocalMaxima – Finds image locations characterized by locally maximal pixel values.