Abstract

The purpose of this paper is to calculate specimen curves which indicate in general how colors shift if a filter is applied. The first section contains the mathematical formulas. The method is used for studying the absorption by the macular pigment (Section II) and by the intraocular media (Section III). The last example (Section IV) refers to the change in illumination from illuminant C to illuminant A and inversely.

© 1950 Optical Society of America

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References

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  1. G. Wald, Science 101, 653 (1945).
    [Crossref] [PubMed]
  2. W. D. Wright, Researches on Normal and Defective Color Vision (C. V. Mosby Company, St. Louis, 1947).
  3. E. Ludvigh and E. F. MacCarthy, Archives of Ophthalmology 20, 37 (1938).
    [Crossref]

1945 (1)

G. Wald, Science 101, 653 (1945).
[Crossref] [PubMed]

1938 (1)

E. Ludvigh and E. F. MacCarthy, Archives of Ophthalmology 20, 37 (1938).
[Crossref]

Ludvigh, E.

E. Ludvigh and E. F. MacCarthy, Archives of Ophthalmology 20, 37 (1938).
[Crossref]

MacCarthy, E. F.

E. Ludvigh and E. F. MacCarthy, Archives of Ophthalmology 20, 37 (1938).
[Crossref]

Wald, G.

G. Wald, Science 101, 653 (1945).
[Crossref] [PubMed]

Wright, W. D.

W. D. Wright, Researches on Normal and Defective Color Vision (C. V. Mosby Company, St. Louis, 1947).

Archives of Ophthalmology (1)

E. Ludvigh and E. F. MacCarthy, Archives of Ophthalmology 20, 37 (1938).
[Crossref]

Science (1)

G. Wald, Science 101, 653 (1945).
[Crossref] [PubMed]

Other (1)

W. D. Wright, Researches on Normal and Defective Color Vision (C. V. Mosby Company, St. Louis, 1947).

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Figures (9)

Fig. 1
Fig. 1

The calculation of P from opposite spectral lights.

Fig. 2
Fig. 2

The correction of the P′ curve for limited sets of wave-lengths.

Fig. 3
Fig. 3

Possible chromaticity shifts caused by xanthophyll filter of unit thickness.

Fig. 4
Fig. 4

Mean chromaticity shifts caused by xanthophyll filter of unit thickness weighted with Munsell papers.

Fig. 5
Fig. 5

Shift by a negative filter as compared with the shift by the corresponding positive filter.

Fig. 6
Fig. 6

Mean chromaticity shifts caused by xanthophyll filter of negative unit thickness (zero macular pigment).

Fig. 7
Fig. 7

Possible shifts in chromaticities from illuminant C to A.

Fig. 8
Fig. 8

Mean shifts in chromaticities weighted with Munsell papers.

Fig. 9
Fig. 9

Mean shifts in chromaticity from illuminant A to C.

Tables (2)

Tables Icon

Table I Xanthophyll of unit thickness.

Tables Icon

Table II Optical densities of the intraocular media.

Equations (4)

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a 1 s 1 + a 1 s 1 a 1 + a 1 = 1 a 2 s 2 + a 2 s 2 a 2 + a 2 = 1 .             .             .             .             .             . .             .             .             .             . b 3 s 3 + b 3 s 380 + b 3 s 780 b 3 + b 3 + b 3 = 1 } .
a 1 t 1 s 1 + a 1 t 1 s 1 a 2 t 2 s 2 + a 2 t 2 s 2 .             .             .             .             .             .             .             .             b 3 t 3 s 3 + b 3 t 380 s 380 + b 3 t 780 s 780 } .
x = 0.15 + 0.20 i , i = 0 , 1 , 2 , y = 0.15 + 0.20 j , j = 0 , 1 , 2 , 3 ,
P P = s P / [ 1 + ( s P × P s ) / ( P P × P s ) ] .