Information Theoretic Studies of Image Formation Detection and Processing
Final rept. 1 Apr 2001-30 Jun 2004
NEW MEXICO UNIV ALBUQUERQUE OFFICE OF RESEARCH SERVICES
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The attached document is the final report for AFOSR grant no. F49620-01-1-0321. The originally proposed tasks were addressed more or less completely in the course of the funded work. The following research milestones were reached 1 The statistical information content of prior knowledge in the form of support was assessed theoretically and via simulation of speckle interferometric imaging 2 A comparison of blind deconvolution techniques using Shannon mutual information 3 A Fisher information based study of phase-diversity speckle method, including the optimal choice and strength of diversity phase in the second channel 4 A Fisher information based optimization of wavefront encoded imaging systems 5 The use of successfully transmitted statistical information as a performance metric for stopping iterative image restoration algorithms like the Richardson-Lucy algorithm 6 Clarification of the fundamental nature of Fisher information and 7 A derivation of sum rules that connect information in the physical and Fourier domains.