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m clean up spacing around commas and other punctuation, replaced: ,N → , N, ,V → , V, ,b → , b, ,c → , c (3), ,d → , d (3), ,e → , e (2), ,f → , f (2), ,n → , n, ,y → , y |
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* <math>n\,</math> = number of pixels used in average
The line spread function is identical to the [[derivative|first derivative]] of the edge spread function,<ref name=Mazzetta2007>Mazzetta, J.A.; Scopatz, S.D. (2007). Automated Testing of Ultraviolet, Visible, and Infrared Sensors Using Shared Optics.'' Infrared Imaging Systems: Design Analysis, Modeling, and Testing XVIII, Vol. 6543'', pp. 654313-1 654313-14</ref> which is differentiated using [[numerical analysis|numerical methods]]. In case it is more practical to measure the edge spread function, one can determine the line spread function as follows:
:<math>\operatorname{LSF} = \frac{d}{dx} \operatorname{ESF}(x)</math>
Typically the ESF is only known at discrete points, so the LSF is numerically approximated using the [[finite difference]]:
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