16 Citations (Scopus)

Abstract

This paper addresses the reconstruction of compactly supported functions from non-uniform samples of their Fourier transform. We briefly investigate the consequences of acquiring non-uniform spectral data. We summarize two often applied reconstruction methods, convolutional gridding and uniform re-sampling, and investigate the reconstruction accuracy as it relates to sampling density. Finally, we provide preliminary results from employing spectral re-projection methods in the reconstruction.

Original languageEnglish (US)
Pages (from-to)487-513
Number of pages27
JournalJournal of Scientific Computing
Volume45
Issue number1-3
DOIs
StatePublished - Oct 2010

Fingerprint

Sampling
Fourier transforms
Resampling
Projection Method
Fourier transform

Keywords

  • Convolutional gridding
  • Non-harmonic Fourier reconstruction
  • Sampling density
  • Spectral re-projection

ASJC Scopus subject areas

  • Software
  • Computational Theory and Mathematics
  • Theoretical Computer Science
  • Engineering(all)

Cite this

On reconstruction from non-uniform spectral data. / Viswanathan, Adityavikram; Gelb, Anne; Cochran, Douglas; Renaut, Rosemary.

In: Journal of Scientific Computing, Vol. 45, No. 1-3, 10.2010, p. 487-513.

Research output: Contribution to journalArticle

Viswanathan, Adityavikram ; Gelb, Anne ; Cochran, Douglas ; Renaut, Rosemary. / On reconstruction from non-uniform spectral data. In: Journal of Scientific Computing. 2010 ; Vol. 45, No. 1-3. pp. 487-513.
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