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Applied Optics

Applied Optics


  • Vol. 37, Iss. 20 — Jul. 10, 1998
  • pp: 4433–4436

Power-law correlations in natural infrared imagery

Derek C. Bertilone, Mike Wegener, Steve Angeli, and Rob Joyce  »View Author Affiliations

Applied Optics, Vol. 37, Issue 20, pp. 4433-4436 (1998)

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We provide experimental data confirming the power-law spatial-correlation model of radiance statistics for a wide range of natural terrains and in two IR wave bands. We analyze imagery of four terrains that was acquired from an airborne sensor in both midwave and long-wave bands. Data are presented on the region of the correlation-model parameter space occupied by natural terrains.

© 1998 Optical Society of America

OCIS Codes
(000.5490) General : Probability theory, stochastic processes, and statistics
(100.2000) Image processing : Digital image processing
(100.2960) Image processing : Image analysis

Original Manuscript: February 3, 1998
Revised Manuscript: April 24, 1998
Published: July 10, 1998

Derek C. Bertilone, Mike Wegener, Steve Angeli, and Rob Joyce, "Power-law correlations in natural infrared imagery," Appl. Opt. 37, 4433-4436 (1998)

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  1. D. C. Bertilone, R. S. Caprari, S. Angeli, G. N. Newsam, “Spatial statistics of natural terrain imagery I: non-Gaussian IR backgrounds and long-range correlations,” Appl. Opt. 36, 9167–9176 (1997). [CrossRef]
  2. N. Ben-Yosef, K. Wilner, S. Simhoney, G. Feigin, “Measurement and analysis of 2-D infrared natural background,” Appl. Opt. 24, 2109–2113 (1985). [CrossRef] [PubMed]
  3. T. Vicsek, Fractal Growth Phenomena (World Scientific, Singapore, 1992). [CrossRef]
  4. I. Procaccia, “Fractal structures in turbulence,” J. Statis. Phys. 36, 649–664 (1984). [CrossRef]
  5. D. L. Ruderman, “Origins of scaling in natural images,” Vision Res. 37, 3385–3398 (1997). [CrossRef]
  6. The eucalypts covering terrain 1 are primarily E. miniata, E. tetrodonta, and E. nesophila, whereas for terrain 2 they are E. papuana and E. polycarpa. The projected foliage cover from trees greater than 10 m tall is 30%–69% for terrain 1 and 10%–29% for terrain 2.
  7. We have chosen to report only the data in the horizontal direction, as it is the least affected by the motion of the aircraft. In the time required for a single horizontal line scan, the aircraft moves a distance corresponding to only a few percent of the ground resolution.

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