Adaptive multiparameter openings

Yidong Chen, Edward R. Dougherty

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Adaptation of an opening possessing a multiparameter structuring element is studied in the context of Markov chains by treating the multiple parameters as a vector r defining the state of the system and considering the operative filter Λ r to be opening by reconstruction. Adaptation of Λ r (transition of r) is in accordance to whether or not Λ r correctly or incorrectly passes signal and noise grains sampled from the image. Signal and noise are modeled as unions of randomly parameterized and randomly translated primary grains. Transition probabilities are discussed for two adaptation protocols and the state-probability increment equations are deduced from the appropriate Chapman-Kolmogorov equations. Adaptation convergence is characterized by the steady-state distributions of the Markov chains and these are computed numerically.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsEdward R. Dougherty, Jaakko T. Astola, Harold G. Longbotham, Nasser M. Nasrabadi, Aggelos K. Katsaggelos
Pages37-47
Number of pages11
StatePublished - Dec 1 1995
EventNonlinear Image Processing VI - San Jose, CA, USA
Duration: Feb 6 1995Feb 9 1995

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume2424
ISSN (Print)0277-786X

Other

OtherNonlinear Image Processing VI
CitySan Jose, CA, USA
Period2/6/952/9/95

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ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

Cite this

Chen, Y., & Dougherty, E. R. (1995). Adaptive multiparameter openings. In E. R. Dougherty, J. T. Astola, H. G. Longbotham, N. M. Nasrabadi, & A. K. Katsaggelos (Eds.), Proceedings of SPIE - The International Society for Optical Engineering (pp. 37-47). (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 2424).