TY - GEN

T1 - Adaptive multiparameter openings

AU - Chen, Yidong

AU - Dougherty, Edward R.

PY - 1995

Y1 - 1995

N2 - 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.

AB - 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.

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M3 - Conference contribution

AN - SCOPUS:0029463066

SN - 0819417718

SN - 9780819417718

T3 - Proceedings of SPIE - The International Society for Optical Engineering

SP - 37

EP - 47

BT - Proceedings of SPIE - The International Society for Optical Engineering

A2 - Dougherty, Edward R.

A2 - Astola, Jaakko T.

A2 - Longbotham, Harold G.

A2 - Nasrabadi, Nasser M.

A2 - Katsaggelos, Aggelos K.

T2 - Nonlinear Image Processing VI

Y2 - 6 February 1995 through 9 February 1995

ER -