Logistic Distribution As A Model Of Film Characteristic Curves In Radiological Imaging

John R. Prince; Cynthia H. Goodman Mumma

doi:10.1117/12.968764

27 June 1988 Logistic Distribution As A Model Of Film Characteristic Curves In Radiological Imaging

John R. Prince, Cynthia H. Goodman Mumma

Proceedings Volume 0914, Medical Imaging II; (1988) https://doi.org/10.1117/12.968764
Event: Medical Imaging II, 1988, Newport Beach, CA, United States

Abstract

The cumulative logistic distribution function is shown to be a robust mathematical model of film characteristic curves for a variety of radiological imaging tasks. This model allows one to write analytical functions for several important metrices in film sensitometry. In practice, curve-fitting is accomplished by linear regression analysis of the logistic distribution by forming the logit of D/Dm where D is the optical density and Dm denotes the maximum optical density obtainable. This model has been used to characterize films in radioscintigraphy, conventional film/screen combination and a multiformat camera. Linearization of the characteristic curves resulted in correlation coefficients ranging from 0.980 - 0.996.

Citation Download Citation

John R. Prince and Cynthia H. Goodman Mumma "Logistic Distribution As A Model Of Film Characteristic Curves In Radiological Imaging", Proc. SPIE 0914, Medical Imaging II, (27 June 1988); https://doi.org/10.1117/12.968764

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