The algebraic basis of mathematical morphology. I. dilations and erosions
Computer Vision, Graphics, and Image Processing
Self-dual morphological operators and filters
Journal of Mathematical Imaging and Vision
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Morphological operators for image and video compression
IEEE Transactions on Image Processing
Flat zones filtering, connected operators, and filters by reconstruction
IEEE Transactions on Image Processing
Mathematical morphology on hypergraphs, application to similarity and positive kernel
Computer Vision and Image Understanding
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This work extends the scope of mathematical morphology from complete lattices to complete semilattices, and presents some applications of this extension. More specifically, we first define and briefly analyze basic morphological operators in complete inf-semilattices. Then, difference and reference semilattices are introduced. Finally, some video processing applications in these semilattices are presented, namely: Detection of fast motion, innovation extraction, and contour compression for segmentation-based coding.