Extension of Morphological Operations to Complete Semilattices and its Applications to Image and Video Processing
نویسنده
چکیده
Mathematical Morphology is a nonlinear image processing theory, which is currently based on complete lattices. This work extends its scope to complete semilattices, which are more general. Speci c morphological operators de ned 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. In this report, we rst rede ne the basic morphological operators in complete semilattices. Then, a few properties of morphological operators in complete lattices are proven to apply also to their semilattice counterparts. Next, some examples of semilattices and basic morphological operators de ned on them are provided. Finally, the above applications are brie y described and demonstrated.
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