Retrieval Of Optical Performance Functions From An Edge Trace With Rigid Control By Least Squares

Gottfried R. Rosendahl

doi:10.1117/12.978090

1 November 1967 Retrieval Of Optical Performance Functions From An Edge Trace With Rigid Control By Least Squares

Gottfried R. Rosendahl

Proceedings Volume 0009, Photo-Optical Systems Evaluation; (1967) https://doi.org/10.1117/12.978090
Event: Photo-Optical Systems Evaluation, 1967, Rochester, United States

Abstract

An approach is explained for determining the three optical per-formance functions: The edge spread function, ES, the line spread function, LS, and the transfer function pair, MTF and PTF, from an edge trace, ET, obtained by photometric measurements at 2n + 1 points at equal intervals through the range, L, of the ET. The explanation is theoretical, but with as much consideration of the needs of the practical engineer as possible. Smoothing and normalization procedures are an integral part of this method, based on a rigid control by the method of least squares. The mean-square errors, MSE, of all individual results will be obtained. The MSE of a critical magnitude instead of Shannon's sampling theorem is used to determine the necessary and justifiable number of terms of the series applied in this case, the only assumption being the validity of the error propagation law. It will thus be possible to check the reliability or scope of applicability of the sampling theorem within this context, which differs from and goes beyond known methods.

Citation Download Citation

Gottfried R. Rosendahl "Retrieval Of Optical Performance Functions From An Edge Trace With Rigid Control By Least Squares", Proc. SPIE 0009, Photo-Optical Systems Evaluation, (1 November 1967); https://doi.org/10.1117/12.978090

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available