Estimation of Image Signals with Poisson Noise

Abstract

An optimal filter in the sense of maximum a posteriori probability (MAP) is derived for image signals detected at low light levels. These signals suffer from Poisson noise and blurring degradations. The low level photon resolved image signal is modeled as an inhomogeneous Poisson point process. The photon noise is inherent in any detected image, and is particularly serious at low light levels. At these low light levels, the emission of photons is described by a Poisson point process, with the average rate of emission proportional to the integrated intensity. The blurring degradation model in the system includes space-variant and space-invariant effects uch as atmospheric turbulence, linear motion, diffraction, and aberrations. The estimation is performed assuming that the photon events counted in each detector are independent, Poisson distributed random processes for the large time-bandwidth product case.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1979
Accession Number
ADA071540

Entities

People

  • Chun Moo Lo

Organizations

  • University of Southern California

Tags

Communities of Interest

  • Biomedical
  • Materials and Manufacturing Processes
  • Sensors

DTIC Thesaurus Topics

  • Algorithms
  • Computational Science
  • Detection
  • Detectors
  • Digital Image Processing
  • Digital Images
  • Digital Signal Processing
  • False Alarms
  • Image Processing
  • Image Restoration
  • Information Processing
  • Information Theory
  • Integrals
  • Random Variables
  • Signal Processing
  • Stochastic Processes
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Image Processing and Computer Vision.
  • Statistical inference.

Technology Areas

  • Space
  • Space - Space Objects