caa a22 4500 47583951X CHVBK 20180406123857.0 cr unu---uuuuu 170329e20000601xx s 000 0 eng 10.1023/A:1006427827192 doi (NATIONALLICENCE)springer-10.1023/A:1006427827192 Convergence and Compactness Properties for a Family of 2-D Discontinuous Signals [Elektronische Daten] [Carlo Bruni, Alberto De Santis, Giorgio Koch] In this paper, convergence and compactness properties for sets of possibly discontinuous functions on ℝ2 are discussed. The issue appears to be relevant with respect to optimization and identification problems for 2-D images. Several convergence properties are provided and compared for a class of discontinuous 2-D functions with sufficiently regular discontinuity sets. Two sufficient compactness criteria are given; the first one extends to the 2-D case previously known results on the 1-D Skorohod topology. Kluwer Academic Publishers, 2000 two-dimensional discontinuous functions nationallicence images nationallicence edge detection nationallicence compactness nationallicence Bruni Carlo Centro Interdipartimentale di Ricerca per l'Analisi dei Modelli e dell'Informazione nei Sistemi Biomedici (CISB), Corso Vittorio Emanuele 244, 00186, Rome, Italy aut De Santis Alberto Centro Interdipartimentale di Ricerca per l'Analisi dei Modelli e dell'Informazione nei Sistemi Biomedici (CISB), Corso Vittorio Emanuele 244, 00186, Rome, Italy aut Koch Giorgio Dipartemento di Matematica, Università di Rome Tre, L.go S. Leonardo Murialdo 1, 00145, Rome, Italy aut Acta Applicandae Mathematica Kluwer Academic Publishers 62/2(2000-06-01), 131-153 0167-8019 62:2<131 2000 62 10440 https://doi.org/10.1023/A:1006427827192 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1006427827192 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bruni Carlo Centro Interdipartimentale di Ricerca per l'Analisi dei Modelli e dell'Informazione nei Sistemi Biomedici (CISB), Corso Vittorio Emanuele 244, 00186, Rome, Italy aut NATIONALLICENCE 700 1- De Santis Alberto Centro Interdipartimentale di Ricerca per l'Analisi dei Modelli e dell'Informazione nei Sistemi Biomedici (CISB), Corso Vittorio Emanuele 244, 00186, Rome, Italy aut NATIONALLICENCE 700 1- Koch Giorgio Dipartemento di Matematica, Università di Rome Tre, L.go S. Leonardo Murialdo 1, 00145, Rome, Italy aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers 62/2(2000-06-01), 131-153 0167-8019 62:2<131 2000 62 10440 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer