Abstract

An accurate and concise method of fitting and presenting photographic spectrographic calibration data has been developed that overcomes the shortcomings imposed by polynomial fitting techniques. This approach utilizes hitherto ignored correlatible data from neighboring wavelengths to increase the accuracy and smoothness of data at each particular wavelength. The results empirically confirm the assumption that an over-all system H-D curve at one wavelength can be accurately mapped into the H-D curve at a near wavelength using only a scaling constant Aγ and a translation constant Bγ. This method also allows extrapolation beyond some of the raw data calibration ranges.

© 1968 Optical Society of America

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References

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  1. A. Guttman, J. Golden, H. J. Galbraith, Appl. Opt. 9, 1507 (1967).
    [CrossRef]
  2. C. E. Kenneth Mees, The Theory of Photographic Process (The Macmillan Company, New York, 1955), Chap. 5.

1967 (1)

A. Guttman, J. Golden, H. J. Galbraith, Appl. Opt. 9, 1507 (1967).
[CrossRef]

Galbraith, H. J.

A. Guttman, J. Golden, H. J. Galbraith, Appl. Opt. 9, 1507 (1967).
[CrossRef]

Golden, J.

A. Guttman, J. Golden, H. J. Galbraith, Appl. Opt. 9, 1507 (1967).
[CrossRef]

Guttman, A.

A. Guttman, J. Golden, H. J. Galbraith, Appl. Opt. 9, 1507 (1967).
[CrossRef]

Kenneth Mees, C. E.

C. E. Kenneth Mees, The Theory of Photographic Process (The Macmillan Company, New York, 1955), Chap. 5.

Appl. Opt. (1)

A. Guttman, J. Golden, H. J. Galbraith, Appl. Opt. 9, 1507 (1967).
[CrossRef]

Other (1)

C. E. Kenneth Mees, The Theory of Photographic Process (The Macmillan Company, New York, 1955), Chap. 5.

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Figures (5)

Fig. 1
Fig. 1

(a) and (b). Fifth order polynomial fit for spectrograph calibrations.

Fig. 2
Fig. 2

Log exposure.

Fig. 3
Fig. 3

(a), (b), (c), and (d). Curve fitting using composite curve technique.

Fig. 4
Fig. 4

Film density vs wavelength for lines of constant exposure.

Fig. 5
Fig. 5

−Log exposure vs wavelength for lines of constant density.

Tables (1)

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Table I Quality of Curve Fitting Using Scaled and Translated Composite Curves

Equations (2)

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film density 1 = F 1 of log ( energy density ) and film density 2 = F 2 of log ( energy density ) ,
film density 1 = F 1 ( log E ) ~ F 2 ( A 1 · log E + B 1 ) .

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