TY - GEN
T1 - Fundamental equivalences between set-Theoretic & maximum-entropy methods in multiple-domain image restoration
AU - Ishwar, Prakash
AU - Moulin, Pierre
N1 - Publisher Copyright:
© 2000 IEEE.
PY - 2000
Y1 - 2000
N2 - Several powerful, but heuristic techniques in the image denoising literature have used overcomplete image representations. A general framework for incorporating information from multiple representations based on fundamental statistical estimation principles was presented in Ishwar and Moulin (1999) where, information about image attributes from multiple wavelet transforms was incorporated as moment constraints on the underlying image prior. In this paper we explore the fundamental equivalence between the stochastic setting of multiple-domain restoration in Ishwar and Moulin and its deterministic set-Theoretic counterpart. The main technical tool is the Lagrange multiplier theory of constrained optimization. The insights gained by this analysis allow us to derive a state-of-The-Art denoising algorithm.
AB - Several powerful, but heuristic techniques in the image denoising literature have used overcomplete image representations. A general framework for incorporating information from multiple representations based on fundamental statistical estimation principles was presented in Ishwar and Moulin (1999) where, information about image attributes from multiple wavelet transforms was incorporated as moment constraints on the underlying image prior. In this paper we explore the fundamental equivalence between the stochastic setting of multiple-domain restoration in Ishwar and Moulin and its deterministic set-Theoretic counterpart. The main technical tool is the Lagrange multiplier theory of constrained optimization. The insights gained by this analysis allow us to derive a state-of-The-Art denoising algorithm.
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U2 - 10.1109/ICASSP.2000.861899
DO - 10.1109/ICASSP.2000.861899
M3 - Conference contribution
AN - SCOPUS:0033708750
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 161
EP - 164
BT - Signal Processing Theory and Methods I
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 25th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2000
Y2 - 5 June 2000 through 9 June 2000
ER -