TY - GEN
T1 - Adaptive multiparameter openings
AU - Chen, Yidong
AU - Dougherty, Edward R.
N1 - Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.
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.
UR - http://www.scopus.com/inward/record.url?scp=0029463066&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0029463066&partnerID=8YFLogxK
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 -