Image reconstruction from limited Fourier data.

@article{Shieh2006ImageRF,
  title={Image reconstruction from limited Fourier data.},
  author={Hsin M. Shieh and Charles L. Byrne},
  journal={Journal of the Optical Society of America. A, Optics, image science, and vision},
  year={2006},
  volume={23 11},
  pages={
          2732-6
        }
}
  • Hsin M. Shieh, C. Byrne
  • Published 1 November 2006
  • Mathematics
  • Journal of the Optical Society of America. A, Optics, image science, and vision
We consider the problem of reconstructing a function f with bounded support S from finitely many values of its Fourier transform F. Although f cannot be band limited since it has bounded support, it is typically the case that f can be modeled as the restriction to S of a sigma-band-limited function, say g. Our reconstruction method is based on such a model for f. Of particular interest is the effect of the choice of sigma > 0 on the resolution. 
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