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Multiscale reconstruction for computational spectral imaging

Publication ,  Journal Article
Willett, RM; Gehm, ME; Brady, DJ
Published in: Proceedings of SPIE - The International Society for Optical Engineering
August 31, 2007

In this work we develop a spectral imaging system and associated reconstruction methods that have been designed to exploit the theory of compressive sensing. Recent work in this emerging field indicates that when the signal of interest is very sparse (i.e. zero-valued at most locations) or highly compressible in some basis, relatively few incoherent observations are necessary to reconstruct the most significant non-zero signal components. Conventionally, spectral imaging systems measure complete data cubes and are subject to performance limiting tradeoffs between spectral and spatial resolution. We achieve single-shot full 3D data cube estimates by using compressed sensing reconstruction methods to process observations collected using an innovative, real-time, dual-disperser spectral imager. The physical system contains a transmissive coding element located between a pair of matched dispersers, so that each pixel measurement is the coded projection of the spectrum in the corresponding spatial location in the spectral data cube. Using a novel multiscale representation of the spectral image data cube, we are able to accurately reconstruct 256 × 256 × 15 spectral image cubes using just 256 × 256 measurements. © 2007 SPIE-IS&T.

Duke Scholars

Published In

Proceedings of SPIE - The International Society for Optical Engineering

DOI

ISSN

0277-786X

Publication Date

August 31, 2007

Volume

6498

Related Subject Headings

  • 5102 Atomic, molecular and optical physics
  • 4009 Electronics, sensors and digital hardware
  • 4006 Communications engineering
 

Citation

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Willett, R. M., Gehm, M. E., & Brady, D. J. (2007). Multiscale reconstruction for computational spectral imaging. Proceedings of SPIE - The International Society for Optical Engineering, 6498. https://doi.org/10.1117/12.715711
Willett, R. M., M. E. Gehm, and D. J. Brady. “Multiscale reconstruction for computational spectral imaging.” Proceedings of SPIE - The International Society for Optical Engineering 6498 (August 31, 2007). https://doi.org/10.1117/12.715711.
Willett RM, Gehm ME, Brady DJ. Multiscale reconstruction for computational spectral imaging. Proceedings of SPIE - The International Society for Optical Engineering. 2007 Aug 31;6498.
Willett, R. M., et al. “Multiscale reconstruction for computational spectral imaging.” Proceedings of SPIE - The International Society for Optical Engineering, vol. 6498, Aug. 2007. Scopus, doi:10.1117/12.715711.
Willett RM, Gehm ME, Brady DJ. Multiscale reconstruction for computational spectral imaging. Proceedings of SPIE - The International Society for Optical Engineering. 2007 Aug 31;6498.

Published In

Proceedings of SPIE - The International Society for Optical Engineering

DOI

ISSN

0277-786X

Publication Date

August 31, 2007

Volume

6498

Related Subject Headings

  • 5102 Atomic, molecular and optical physics
  • 4009 Electronics, sensors and digital hardware
  • 4006 Communications engineering