Abstract

The degree to which Munsell hue, value, chroma and the Swedish Natural Color System variables of blackness, whiteness, redness, yellowness, greenness, blueness describe the same color space is shown by simple formulas.

© 1975 Optical Society of America

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References

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  1. A. H. Munsell, A Color Notation, 1st. ed. (Ellis, Boston, 1905); A Color Notation, 11th ed. (Munsell Color Co., Baltimore, 1961).
  2. D. Nickerson, J. Opt. Soc. Am. 30, 575 (1940).
    [CrossRef]
  3. D. Nickerson, Color Engineering 7, (5) 42 (1969).
  4. Anders Hård, in Proceedings of the International Colour Meeting Lucerne, 1965, 1, 357 (Musterschmidt, Gottingen, 1966); Farbe 15, 287 (1966).
  5. Anders Hård, in Proceedings of the International Colour Meeting, Lucerne 1965, 1, 367 (Musterschmidt, Gottingen, 1966); Farbe 15, 296 (1966).
  6. S. M. Newhall, D. Nickerson, and D. B. Judd, J. Opt. Soc. Am. 33, 385 (1943).
    [CrossRef]
  7. G. Tonnquist, in Proceedings of the International Colour Meeting, Lucerne 1965, 1, 376 (Musterschmidt, Gottingen, 1966); Farbe 15, 311 (1966).
  8. Anders Hård, Proceedings of the International Color Association Stockholm 1969, 1, 351 (Musterschmidt, Gottingen, 1970); Fackskrift8, 4–13 (1969) Swedish Colour Centre Foundation, Stockholm 45.
  9. D. Nickerson and S. M. Newhall, J. Opt. Soc. Am. 33, 419 (1943).
    [CrossRef]
  10. R. M. Evans, J. Opt. Soc. Am. 49, 1049 (1959).
    [CrossRef]
  11. R. M. Evans and B. K. Swenholt, J. Opt. Soc. Am. 57, 1324 (1967).

1969 (1)

D. Nickerson, Color Engineering 7, (5) 42 (1969).

1967 (1)

R. M. Evans and B. K. Swenholt, J. Opt. Soc. Am. 57, 1324 (1967).

1959 (1)

1943 (2)

1940 (1)

Evans, R. M.

R. M. Evans and B. K. Swenholt, J. Opt. Soc. Am. 57, 1324 (1967).

R. M. Evans, J. Opt. Soc. Am. 49, 1049 (1959).
[CrossRef]

Hård, Anders

Anders Hård, Proceedings of the International Color Association Stockholm 1969, 1, 351 (Musterschmidt, Gottingen, 1970); Fackskrift8, 4–13 (1969) Swedish Colour Centre Foundation, Stockholm 45.

Anders Hård, in Proceedings of the International Colour Meeting Lucerne, 1965, 1, 357 (Musterschmidt, Gottingen, 1966); Farbe 15, 287 (1966).

Anders Hård, in Proceedings of the International Colour Meeting, Lucerne 1965, 1, 367 (Musterschmidt, Gottingen, 1966); Farbe 15, 296 (1966).

Judd, D. B.

Munsell, A. H.

A. H. Munsell, A Color Notation, 1st. ed. (Ellis, Boston, 1905); A Color Notation, 11th ed. (Munsell Color Co., Baltimore, 1961).

Newhall, S. M.

Nickerson, D.

Swenholt, B. K.

R. M. Evans and B. K. Swenholt, J. Opt. Soc. Am. 57, 1324 (1967).

Tonnquist, G.

G. Tonnquist, in Proceedings of the International Colour Meeting, Lucerne 1965, 1, 376 (Musterschmidt, Gottingen, 1966); Farbe 15, 311 (1966).

Color Engineering (1)

D. Nickerson, Color Engineering 7, (5) 42 (1969).

J. Opt. Soc. Am. (5)

Other (5)

G. Tonnquist, in Proceedings of the International Colour Meeting, Lucerne 1965, 1, 376 (Musterschmidt, Gottingen, 1966); Farbe 15, 311 (1966).

Anders Hård, Proceedings of the International Color Association Stockholm 1969, 1, 351 (Musterschmidt, Gottingen, 1970); Fackskrift8, 4–13 (1969) Swedish Colour Centre Foundation, Stockholm 45.

A. H. Munsell, A Color Notation, 1st. ed. (Ellis, Boston, 1905); A Color Notation, 11th ed. (Munsell Color Co., Baltimore, 1961).

Anders Hård, in Proceedings of the International Colour Meeting Lucerne, 1965, 1, 357 (Musterschmidt, Gottingen, 1966); Farbe 15, 287 (1966).

Anders Hård, in Proceedings of the International Colour Meeting, Lucerne 1965, 1, 367 (Musterschmidt, Gottingen, 1966); Farbe 15, 296 (1966).

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Figures (1)

FIG. 1
FIG. 1

Parallel lines of NCS constant blackness (S) and constant whiteness (W) (solid lines) for NCS hue with 100% chromaticness (Chr) at Munsell V/C = 5/20. Resulting parallel lines of NCS constant chromaticness (dashed lines) equal lines of Munsell constant chroma (C).

Tables (4)

Tables Icon

TABLE I Munsell hue notations for the unique hues on three levels of cleanness (A, B, C) and corresponding number of Munsell hue steps between NCS hues for these levels (from Tonnquist, Ref. 7).

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TABLE II Munsell renotation value, V0,0, for the maximum chroma at theoretical pigment limits (NCS black and white each at zero), and f(H) computed from them by Eq. (12).

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TABLE III Early approximation for a smoothed series of Munsell value/chroma notations for NCS 24 hues at full chromaticness (black and white-content zero).

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TABLE IV Summary of differences between measured (Color Eye Basis) and computed data by Eqs. (13)(15) for NCS 24 hue samples of varying blackness (S) and chromaticness (Chr) content, in terms of Munsell value and chroma.

Equations (16)

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C h r = K C ,
C = ( 100 S W ) / K .
S = 100 10 V for C = 0 ,
W = 10 V for C = 0.
S = 100 10 V C f ( H ) ,
W = 10 V C [ K f ( H ) ] .
R / ( R + Y ) = ( H y H ) / ( H y H r )
R = K C ( H y H ) / ( H y H r ) , H r H H y
H = H r + ( Y C ) ( H y H r K ) , H y H H r = H y ( R C ) ( H y H r K ) , H r H H y ,
V = [ 100 C f ( H ) S ] / 10 , C = ( 100 S W ) / K .
H r = 3 R = 3 ; H y = 4 Y = 24 ; H g = 4 G = 44 ; H b = 2.5 P B = 72.5 ; K = 5 ,
f ( H ) = ( 100 10 V ) / C , S = 0 ,
f ( H ) = ( 100 10 V ) / 20 , S = W = 0.
C = C 0 , 0 C h r / 100 .
V = 10.3 ( C h r / 100 ) ( 10.3 V 0 , 0 ) 0.085 S .
V = 9.40 0.077 S 4.0 [ ( S 60 ) / 100 ] 3 ( C h r / 100 ) ( 10.26 V 0 , 0 ) .