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Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 2, Iss. 6 — Mar. 16, 1998
  • pp: 237–253

Spatial resolution and noise tradeoffs in pinhole imaging system design: a density estimation approach

Jeffrey A. Fessler  »View Author Affiliations

Optics Express, Vol. 2, Issue 6, pp. 237-253 (1998)

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This paper analyzes the tradeoff between spatial resolution and noise for simple pinhole imaging systems with position-sensitive photon-counting detectors. We consider image recovery algorithms based on density estimation methods using kernels that are based on apodized inverse filters. This approach allows a continuous-object, continuous-data treatment of the problem. The analysis shows that to minimize the variance of the emission-rate density estimate at a specified reconstructed spatial resolution, the pinhole size should be directly proportional to that spatial resolution. For a Gaussian pinhole, the variance-minimizing full-width half maximum (FWHM) of the pinhole equals the desired object spatial resolution divided by √2. Simulation results confirm this conclusion empirically. The general approach is a potentially useful addition to the collection of tools available for imaging system design.

© Optical Society of America

OCIS Codes
(110.0110) Imaging systems : Imaging systems
(110.2990) Imaging systems : Image formation theory
(110.6960) Imaging systems : Tomography

ToC Category:
Focus Issue: Tomographic image reconstruction

Original Manuscript: December 14, 1997
Published: March 16, 1998

Jeffrey Fessler, "Spatial Resolution and Noise Tradeoffs in Pinhole Imaging System Design: A Density Estimation Approach," Opt. Express 2, 237-253 (1998)

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