HP Labs Technical Reports

Extension of Morphological Operations to Complete Semilattices and its Applications to Image and Video Processing

Kresch, Renato

HPL-97-80

Keyword(s):Mathematical Morphology; complete semilattices; image processing; video processing; motion detection; innovation extraction; segmentation-based coding; skeleton; Top-Hat transform; morphological gradient

Abstract: Mathematical Morphology is a non linear image processing theory, which is currently based on complete lattices. This work extends its scope to complete semilattices, which are more general. Specific morphological operators defined in complete semilattices are shown, by means of simulations, to be potentially useful in some video processing applications, like detection of fast motion, extraction of objects that appear in a sequence frame but not in its predecessor, and segmentation-based compression of sequences.

22 Pages

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