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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 18, Iss. 8 — Aug. 1, 2001
  • pp: 1822–1831

Generalized circular autoregressive models for isotropic and anisotropic Gaussian textures

Kie B. Eom  »View Author Affiliations


JOSA A, Vol. 18, Issue 8, pp. 1822-1831 (2001)
http://dx.doi.org/10.1364/JOSAA.18.001822


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Abstract

A new class of random field models, called generalized circular autoregressive (GCAR) models, is introduced. GCAR models have noncausal neighbors that have the same autoregressive parameter values if they are on the same circle or ellipse and that have circular or elliptical correlation structures. This model is better for modeling isotropic or anisotropic natural textures than earlier approaches to modeling of isotropic textures and can represent complex textures with a small number of parameters. Parameter estimation is also considered, and a multistep estimation algorithm is presented. Properties of estimators of GCAR models are also investigated. The efficacy of GCAR models in modeling real textures is demonstrated by synthesizing images resembling real textures by use of parameters estimated from textures selected from the Brodatz texture album. Limitations of GCAR models are also discussed.

© 2001 Optical Society of America

OCIS Codes
(100.2000) Image processing : Digital image processing
(100.2960) Image processing : Image analysis
(100.5010) Image processing : Pattern recognition
(100.5760) Image processing : Rotation-invariant pattern recognition

History
Original Manuscript: January 14, 2000
Revised Manuscript: January 29, 2001
Manuscript Accepted: January 29, 2001
Published: August 1, 2001

Citation
Kie B. Eom, "Generalized circular autoregressive models for isotropic and anisotropic Gaussian textures," J. Opt. Soc. Am. A 18, 1822-1831 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-8-1822

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