1 June 1992 Equicontinuous functions: a model for mathematical morphology (Invited Paper)
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Abstract
The classes of the equicontinuous functions from a metric space E into an ecart lattice T offer a remarkably consistent theoretical framework to morphological operations. It is proved that in the case of robust lattices, they are closed under sup and inf, with exceptional properties of continuity in addition. Special attention is paid to the cases when T is totally ordered (e.g., R or Z), and to the (finite or not) products of this case, i.e., to multispectral and/or motion images modelling.
© (1992) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Jean C. Serra, Jean C. Serra, } "Equicontinuous functions: a model for mathematical morphology (Invited Paper)", Proc. SPIE 1769, Image Algebra and Morphological Image Processing III, (1 June 1992); doi: 10.1117/12.60646; https://doi.org/10.1117/12.60646
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