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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 20, Iss. 3 — Mar. 1, 2003
  • pp: 470–480

Kalman filtering for adaptive nonuniformity correction in infrared focal-plane arrays

Sergio N. Torres and Majeed M. Hayat  »View Author Affiliations

JOSA A, Vol. 20, Issue 3, pp. 470-480 (2003)

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A novel statistical approach is undertaken for the adaptive estimation of the gain and bias nonuniformity in infrared focal-plane array sensors from scene data. The gain and the bias of each detector are regarded as random state variables modeled by a discrete-time Gauss–Markov process. The proposed Gauss–Markov framework provides a mechanism for capturing the slow and random drift in the fixed-pattern noise as the operational conditions of the sensor vary in time. With a temporal stochastic model for each detector’s gain and bias at hand, a Kalman filter is derived that uses scene data, comprising the detector’s readout values sampled over a short period of time, to optimally update the detector’s gain and bias estimates as these parameters drift. The proposed technique relies on a certain spatiotemporal diversity condition in the data, which is satisfied when all detectors see approximately the same range of temperatures within the periods between successive estimation epochs. The performance of the proposed technique is thoroughly studied, and its utility in mitigating fixed-pattern noise is demonstrated with both real infrared and simulated imagery.

© 2003 Optical Society of America

OCIS Codes
(100.2000) Image processing : Digital image processing
(100.2550) Image processing : Focal-plane-array image processors
(100.3020) Image processing : Image reconstruction-restoration
(110.3080) Imaging systems : Infrared imaging
(110.4280) Imaging systems : Noise in imaging systems

Original Manuscript: August 16, 2002
Revised Manuscript: October 24, 2002
Manuscript Accepted: October 25, 2002
Published: March 1, 2003

Sergio N. Torres and Majeed M. Hayat, "Kalman filtering for adaptive nonuniformity correction in infrared focal-plane arrays," J. Opt. Soc. Am. A 20, 470-480 (2003)

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