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5. Morphological filtering
Unlike filters defined in other areas of image processing (by
convolution, for example), morphological filters are defined by algebraic
properties: a filter is an increasing, idempotent operator. Immediate
examples are algebraic openings (which are also anti-extensive) and
algebraic closures (which are also extensive). If (γ
i
)
is a family of openings,
is also an
opening and therefore a morphological filter. Similarly, if
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Morphological filtering
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