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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 9 — Apr. 28, 2008
  • pp: 6631–6645

Fizeau Fourier transform imaging spectroscopy: missing data reconstruction

Samuel T. Thurman and James R. Fienup  »View Author Affiliations

Optics Express, Vol. 16, Issue 9, pp. 6631-6645 (2008)

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Fizeau Fourier transform imaging spectroscopy yields both spatial and spectral information about an object. Spectral information, however, is not obtained for a finite area of low spatial frequencies. A nonlinear reconstruction algorithm based on a gray-world approximation is presented. Reconstruction results from simulated data agree well with ideal Michelson interferometer-based spectral imagery. This result implies that segmented-aperture telescopes and multiple telescope arrays designed for conventional imaging can be used to gather useful spectral data through Fizeau FTIS without the need for additional hardware.

© 2008 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(100.3020) Image processing : Image reconstruction-restoration
(110.4850) Imaging systems : Optical transfer functions
(110.6770) Imaging systems : Telescopes
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.6200) Instrumentation, measurement, and metrology : Spectrometers and spectroscopic instrumentation

ToC Category:
Fourier optics and signal processing

Original Manuscript: December 3, 2007
Revised Manuscript: March 24, 2008
Manuscript Accepted: March 25, 2008
Published: April 25, 2008

Samuel T. Thurman and James R. Fienup, "Fizeau Fourier transform imaging spectroscopy: missing data reconstruction," Opt. Express 16, 6631-6645 (2008)

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