9 July 1976 Fundamental Limits And Degrees Of Freedom Of Imaging Systems
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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.
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Steve Hou, Steve Hou, Harry C. Andrews, 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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