H-maxima transform

H-maxima transform

The h-maxima transform is a morphological operation used to filter local maxima of an image based on local contrast information. First all local maxima are defined as connected pixels in a given neighborhood with intensity level greater than pixels outside the neighborhood. Second, all local maxima that have height $f$ lower or equal to a given threshold are suppressed. The height f of the remaining maxima is decreased by $h$.

The h-maxima transform is defined as the reconstruction by dilation of $f$ from $f-h$:

$HMAX_{h}(f)=R_{f}^{\delta }(f-h)$

References

• Soille, P., “Morphological Image Analysis: Principles and Applications” (Chapter 6), 2nd edition (2003), ISBN 3540429883.