H-maxima transform

• Comment: I agree this needs more refs to show it is a widely discussed concept. Decline for now. See WikiProject Mathematics and convince them this is a notable topic. Legacypac (talk) 19:11, 10 June 2018 (UTC)
• Comment: Please request a review at WT:WikiProject Mathematics. This draft appears to have too little information to provide context and to be encyclopedic. Links to other topics are needed. Robert McClenon (talk) 18:03, 10 June 2018 (UTC)

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In mathematical morphology, 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.

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