Fundamental Limits And Degrees Of Freedom Of Imaging Systems

Steve Hou; Harry C. Andrews

doi:10.1117/12.954698

Abstract

A space-variant or invariant point spread function of an imaging system is used to generate the grammian matrix from a continuous-discrete imaging model. If in) is a point in the continuous aperture of of the object plane and the i-th sample of the image array is given by gi = Is hi( )f(, )ddri (1) then the grammian matrix of the point spread function becomes [V] = s Toht(, (2a) where v. = ST h.(, )h..( (2b) The properties of [V] of interest are the singular values which define both the entropy and degrees of freedom of the imaging system. Using physical constraints on the point spread function, i. e. 0 < h. ( ) 1 (3a) N2 E) = 1 (3b) i= 1 1 we develop a set of experimental curves relating entropy and degrees of freedom. In addition a variable sampling procedure is hypothesized to increase the degrees of freedom for a fixed number of samples (Nx N= N2) to improve the data acquisition and processing efficiency and approach the fundamental limitations of the imaging system.

Citation Download Citation

Steve Hou, Harry C. Andrews, "Fundamental Limits And Degrees Of Freedom Of Imaging Systems", Proc. SPIE 0074, Image Processing, (9 July 1976); doi: 10.1117/12.954698; https://doi.org/10.1117/12.954698

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