2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144484The LULU operators for sequences are extended to multi-dimensional arrays via the morphological concept of connection in a way which preserves their essential properties, e.g. they are separators and form a four element fully ordered semi-group. The power of the operators is demonstrated by deriving a total variation preserving discrete pulse decomposition of images.Computer Vision and Pattern Recognitiontext