2013-07-01, English, Article, Journal or magazine article edition: Reconstruction from non-uniform samples: A direct, variational approach in shift-invariant spaces. Condat, Laurent

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Physical Description
  • Magazine/​Journal article
Published
  • Elsevier B.V., 2013 July
Language
  • English

Edition details

Title
  • Reconstruction from non-uniform samples: A direct, variational approach in shift-invariant spaces.
Appears In
  • Digital Signal Processing, v.23, no.4, 2013 July, p.1277(11) (ISSN: 1051-2004)
Author
  • Condat, Laurent
Published
  • Elsevier B.V., 2013 July
Physical Description
  • Magazine/​Journal article
Subjects
Target Audience
  • Academic
Summary
  • To link to full-text access for this article, visit this link: http:/​/​dx.doi.org/​10.1016/​j.dsp.2013.01.015 Byline: Laurent Condat Keywords: Non-uniform sampling; Variational reconstruction; Interpolation; Shift-invariant spaces; Splines Abstract: We propose a new approach for signal reconstruction from non-uniform samples, without any constraint on their locations. We look for a function that minimizes a classical regularized least-squares criterion, but with the additional constraint that the solution lies in a chosen linear shift-invariant space -- typically, a spline space. In comparison with a pure variational treatment involving radial basis functions, our approach is resolution dependent; an important feature for many applications. Moreover, the solution can be computed exactly by a fast non-iterative algorithm, that exploits at best the particular structure of the problem. Author Affiliation: GIPSA-lab, Grenoble, France
Terms of Use
  • COPYRIGHT 2013 Elsevier B.V.
Language
  • English
Database
  • Gale Academic OneFile
Identifier
  • 330537851

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