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- W4297186476 abstract "We study reconstruction operators on a Hilbert space that are exact on a given reconstruction subspace. Among those the reconstruction operator obtained by the least squares fit has the smallest operator norm, and therefore is most stable with respect to noisy measurements. We then construct the operator with the smallest possible quasi-optimality constant, which is the most stable with respect to a systematic error appearing before the sampling process (model uncertainty). We describe how to vary continuously between the two reconstruction methods, so that we can trade stability for quasi-optimality. As an application we study the reconstruction of a compactly supported function from nonuniform samples of its Fourier transform." @default.
- W4297186476 created "2022-09-27" @default.
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- W4297186476 date "2017-06-20" @default.
- W4297186476 modified "2023-09-28" @default.
- W4297186476 title "Sampling and Reconstruction in Distinct Subspaces Using Oblique Projections" @default.
- W4297186476 doi "https://doi.org/10.48550/arxiv.1706.06444" @default.
- W4297186476 hasPublicationYear "2017" @default.
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