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• W2131543423 abstract "We prove that the exact reconstruction of a function s from its samples s(x/sub i/) on any sufficiently dense sampling set {x/sub i/}/sub i/spl isin/I//spl sub/R/sup n/, where I is a countable indexing set, can be obtained for a large class of spline-like spaces that belong to LP(R/sup n/). Moreover, the reconstruction can be implemented using fast algorithms. Since, a special case is the space of bandlimited functions, our result generalizes the classical Shannon-Whittacker (1949) sampling theorem on regular sampling and the Paley-Wiener (1934) theorem on nonuniform sampling." @default.
• W2131543423 created "2016-06-24" @default.
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• W2131543423 date "2002-11-22" @default.
• W2131543423 modified "2023-10-14" @default.
• W2131543423 title "Complete iterative reconstruction algorithms for irregularly sampled data in spline-like spaces" @default.
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• W2131543423 doi "https://doi.org/10.1109/icassp.1997.598900" @default.
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