Abstract

A data-gathering system automatically enters spectrophotometric data on paper tape. The data are converted to CIE chromaticity coordinates, dominant wavelength, and excitation purity by a digital computer. The computer uses a weighted-ordinate method for calculating the CIE coordinates, and determines the dominant wavelength and excitation purity associated with these coordinates by a table-searching technique. The system is used for both transmittance and reflectance data.

© 1965 Optical Society of America

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References

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  1. H. J. Keegan, W. C. Rheinbolt, J. C. Schleter, J. P. Menard, and D. B. Judd, J. Opt. Soc. Am. 48, 863A (1958).
  2. W. C. Rheinbolt and J. P. Menard, J. Opt. Soc. Am. 50, 802 (1960).
    [Crossref]
  3. F. W. Billmeyer, J. Opt. Soc. Am. 50, 137 (1960).
    [Crossref]
  4. Deane B. Judd, J. Opt. Soc. Am. 23, 369 (1933).

1960 (2)

1958 (1)

H. J. Keegan, W. C. Rheinbolt, J. C. Schleter, J. P. Menard, and D. B. Judd, J. Opt. Soc. Am. 48, 863A (1958).

1933 (1)

Deane B. Judd, J. Opt. Soc. Am. 23, 369 (1933).

Billmeyer, F. W.

Judd, D. B.

H. J. Keegan, W. C. Rheinbolt, J. C. Schleter, J. P. Menard, and D. B. Judd, J. Opt. Soc. Am. 48, 863A (1958).

Judd, Deane B.

Deane B. Judd, J. Opt. Soc. Am. 23, 369 (1933).

Keegan, H. J.

H. J. Keegan, W. C. Rheinbolt, J. C. Schleter, J. P. Menard, and D. B. Judd, J. Opt. Soc. Am. 48, 863A (1958).

Menard, J. P.

W. C. Rheinbolt and J. P. Menard, J. Opt. Soc. Am. 50, 802 (1960).
[Crossref]

H. J. Keegan, W. C. Rheinbolt, J. C. Schleter, J. P. Menard, and D. B. Judd, J. Opt. Soc. Am. 48, 863A (1958).

Rheinbolt, W. C.

W. C. Rheinbolt and J. P. Menard, J. Opt. Soc. Am. 50, 802 (1960).
[Crossref]

H. J. Keegan, W. C. Rheinbolt, J. C. Schleter, J. P. Menard, and D. B. Judd, J. Opt. Soc. Am. 48, 863A (1958).

Schleter, J. C.

H. J. Keegan, W. C. Rheinbolt, J. C. Schleter, J. P. Menard, and D. B. Judd, J. Opt. Soc. Am. 48, 863A (1958).

J. Opt. Soc. Am. (4)

H. J. Keegan, W. C. Rheinbolt, J. C. Schleter, J. P. Menard, and D. B. Judd, J. Opt. Soc. Am. 48, 863A (1958).

W. C. Rheinbolt and J. P. Menard, J. Opt. Soc. Am. 50, 802 (1960).
[Crossref]

F. W. Billmeyer, J. Opt. Soc. Am. 50, 137 (1960).
[Crossref]

Deane B. Judd, J. Opt. Soc. Am. 23, 369 (1933).

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Figures (4)

Fig. 1
Fig. 1

Normal CIE chromaticity diagram.

Fig. 2
Fig. 2

Chromaticity diagram with origin at C.

Fig. 3
Fig. 3

Illustration of chromaticity diagram divided into octants.

Fig. 4
Fig. 4

Illustration of method of search from the midpoint of the octant containing P(x′,y′).

Equations (34)

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I λ = ( T λ - T 0 λ ) / ( T 100 λ - T 0 λ ) .
I λ = R s λ [ ( R λ - R 0 λ / ( R v λ - R 0 λ ) ] .
X = λ = 400 700 I λ E c x ¯ λ ,
Y = λ = 400 700 I λ E c y ¯ λ ,
Z = λ = 400 700 I λ E c z ¯ λ .
x = X / ( X + Y + Z ) ,
y = Y / ( X + Y + Z ) .
λ = 400 700 E c y ¯ λ = 1 ,
EP = ( D / D 0 ) × 100 % .
D 0 ( nonspectral ) = [ b / ( m - m ) ] ( 1 + m 2 ) 1 2 ,
x = x - 0.3101 ,
y = y - 0.3163.
D = ( x 2 + y 2 ) 1 2 .
tan θ = y / x .
A = + 1 , if tan θ 1 , A = - 1 , if tan θ > 1.
For the spectral region C = + 1. For the nonspectral region C = - 1.
Toward longer wavelengths B = + 1. Toward shorter wavelengths B = - 1.
D 0 = [ ( x - 0.3101 ) 2 + ( y - 0.3163 ) 2 ] 1 2 ,
y = m x + b ,
m = ( y 699 - y 400 ) / ( x 699 - x 400 ) ,
m = ( 0.26533 - 0.00480 ) / ( 0.73467 - 0.17330 ) ,
m = 0.46410.
b = ( y 400 - 0.3163 ) - m ( x 400 - 0.3101 ) ,
b = ( 0.0048 - 0.3163 ) - 0.46410 ( 0.17330 - 0.3101 ) ,
b = - 0.24801.
y = m x ,
y = m x
y = m x + b ,
m x = m x + b .
x = b / ( m - m )
y = m b / ( m - m ) .
D 0 = ( x 2 + y 2 ) 1 2 ,
D 0 = [ b 2 / ( m - m ) 2 + m 2 b 2 / ( m - m ) 2 ] 1 2
D 0 = b / ( m - m ) ( 1 + m 2 ) 1 2 ,