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Three hues in the Munsell color model. Each color differs in value from top to bottom in equal perception steps. The right column undergoes a dramatic change in perceived color.

In colorimetry and color theory, lightness, also known as value or tone, is a representation of variation in the perception of a color or color space's brightness. It is one of the color appearance parameters of any color appearance model. Lightness is a relative term. Lightness means brightness of an area judged relative to the brightness of a similarly illuminated area that appears to be white or highly transmitting. Lightness should not be confused with brightness.[1]

Various color models have an explicit term for this property. The Munsell color model uses the term value, while the HSL color model and Lab color space use the term lightness. The HSV model uses the term value a little differently: a color with a low value is nearly black, but one with a high value is the pure, fully saturated color.

In subtractive color (i.e. paints) value changes can be achieved by adding black or white to the color. However, this also reduces saturation. Chiaroscuro and Tenebrism both take advantage of dramatic contrasts of value to heighten drama in art. Artists may also employ shading, subtle manipulation of value.

Relationship between lightness, value, and luminance

The Munsell value has long been used as a perceptually uniform lightness scale. A question of interest is the relationship between the Munsell value scale and the relative luminance. Aware of the Weber–Fechner law, Munsell remarked "Should we use a logarithmic curve or curve of squares?"[2] Neither option turned out to be quite correct; scientists eventually converged on a roughly cube-root curve, consistent with the Stevens power law for brightness perception, reflecting the fact that lightness is proportional to the number of nerve impulses per nerve fiber per unit time.[3] The remainder of this section is a chronology of lightness approximations, leading to CIELAB.

Note: Munsell's V runs from 0 to 10, while Y typically runs from 0 to 100 (often interpreted as a percentage). Typically, the relative luminance is normalized so that the "reference white" (say, magnesium oxide) has a tristimulus value of Y=100. Since the reflectance of magnesium oxide (MgO) relative to the perfect reflecting diffuser is 97.5%, V=10 corresponds to Y=100/97.5%≈102.6 if MgO is used as the reference.[4]

File:Lightness approximations.svg
Observe that the lightness is 50% for a luminance of around 18% relative to the reference white.
Priest et al. provide a basic estimate of the Munsell value (with Y running from 0 to 1 in this case):[5]
V=10 \sqrt{Y}
Munsell, Sloan, and Godlove launch a study on the Munsell neutral value scale, considering several proposals relating the relative luminance to the Munsell value, and suggest:[6][7]
Newhall, Nickerson, and Judd prepare a report for the Optical Society of America. They suggest a quintic parabola (relating the reflectance in terms of the value):[8]
Using Table II of the O.S.A. report, Moon and Spencer express the value in terms of the luminance:[9]
V=5 (Y/19.77)^{0.426}=1.4 Y^{0.426}
Saunderson and Milner introduce a subtractive constant in the previous expression, for a better fit to the Munsell value.[10] Later, Jameson and Hurvich claim that this corrects for simultaneous contrast effects.[11][12]
V=2.357 Y^{0.343}-1.52
Ladd and Pinney of Eastman Kodak are interested in the Munsell value as a perceptually uniform lightness scale for use in television. After considering one logarithmic and five power-law functions (per Stevens' power law), they relate value to reflectance by raising the reflectance to the power of 0.352:[13]
V=2.217 Y^{0.352}-1.324
Realizing this is quite close to the cube root, they simplify it to:
V=2.468 Y^{1/3}-1.636
Glasser et al. define the lightness as ten times the Munsell value (so that the lightness ranges from 0 to 100):[14]
L^*=25.29 Y^{1/3} - 18.38
Wyszecki simplifies this to:[15]
This formula approximates the Munsell value function for 1\% < Y < 98\% (it is not applicable for Y<1%) and is used for the CIE 1964 color space.
CIELAB uses the following formula:
L^* = 116 (Y/Y_n)^{1/3}-16
where Y_n is the Y tristimulus value of a "specified white object" and is subject to the restriction Y/Y_n > 0.01. Pauli removes this restriction by computing a linear extrapolation which maps Y/Yn=0 to L*=0 and is tangent to the formula above at the point at which the linear extension takes effect. First, the transition point is determined to be Y/Y_n=(6/29)^3 \approx 0.008856, then the slope of (29/3)^3 \approx 903.3 is computed. This gives the two-part function:[16]
f(Y/Y_n)= \left\{\begin{array}{ll}\frac{841}{108}Y/Y_n + \frac{4}{29}, & Y/Y_n \le (6/29)^3 \\ \\
(Y/Y_n)^{1/3}, & Y/Y_n > (6/29)^3\end{array}\right.
The lightness is then L^*=116 f(Y/Y_n)-16.

At first glance, you might approximate the lightness function by a cube root, an approximation that is found in much of the technical literature. However, the linear segment near black is significant, and so the 116 and 16 coefficients. The best-fit pure power function has an exponent of about 0.42, far from 1/3.[17]

An approximately 18% grey card, having an exact reflectance of \left(33/58\right)^3, has a lightness value of 50. It is called "mid grey" because its lightness is midway between black and white.

Other psychological effects

This subjective perception of luminance in a non-linear fashion is one thing that makes gamma compression of images worthwhile. Beside this phenomenon there are other effects involving perception of lightness. Chromacity can affect perceived lightness as described by the Helmholtz–Kohlrausch effect. Though the CIE L*a*b* space and relatives do not account for this effect on lightness, it may be implied in the Munsell color model. Light levels may also affect perceived chromacity, as with the Purkinje effect.

See also


  1. [1] Brightness vs. Lightness
  2. Kuehni, Rolf G. (February 2002). "The early development of the Munsell system". Color Research & Application. 27 (1): 20–27. doi:10.1002/col.10002.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
  3. Hunt, Robert W. G. (May 18, 1957). "Light Energy and Brightness Sensation". Nature. 179 (4568): 1026. doi:10.1038/1791026a0.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
  4. Valberg, Arne (2006). Light Vision Color. John Wiley and Sons. p. 200. ISBN 0470849029.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
  5. Priest, Irwin G.; Gibson, K.S.; McNicholas, H.J. (September 1920). "An examination of the Munsell color system. I: Spectral and total reflection and the Munsell scale of Value". Technical paper 167 (3). United States Bureau of Standards: 27. Cite journal requires |journal= (help)<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
  6. Munsell, A.E.O.; Sloan, L.L.; Godlove, I.H. (November 1933). "Neutral value scales. I. Munsell neutral value scale". JOSA. 23 (11): 394–411. doi:10.1364/JOSA.23.000394.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles> Note: This paper contains a historical survey stretching to 1760.
  7. Munsell, A.E.O.; Sloan, L.L.; Godlove, I.H. (December 1933). "Neutral value scales. II. A comparison of results and equations describing value scales". JOSA. 23 (12): 419–425. doi:10.1364/JOSA.23.000419.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
  8. Newhall, Sidney M.; Nickerson, Dorothy; Judd, Deane B (May 1943). "Final report of the O.S.A. subcommittee on the spacing of the Munsell colors". Journal of the Optical Society of America. 33 (7): 385–418. doi:10.1364/JOSA.33.000385.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
  9. Moon, Parry; Spencer, Domina Eberle (May 1943). "Metric based on the composite color stimulus". JOSA. 33 (5): 270–277. doi:10.1364/JOSA.33.000270.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
  10. Saunderson, Jason L.; Milner, B.I. (March 1944). "Further study of ω space". JOSA. 34 (3): 167–173. doi:10.1364/JOSA.34.000167.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
  11. Hurvich, Leo M.; Jameson, Dorothea (November 1957). "An Opponent-Process Theory of Color Vision". Psychological Review. 64 (6): 384–404. doi:10.1037/h0041403. PMID 13505974.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
  12. Jameson, Dorothea (May 1964). "Theory of brightness and color contrast in human vision". Vision Research. 4 (1–2): 135–154. doi:10.1016/0042-6989(64)90037-9. PMID 5888593. Unknown parameter |coauthors= ignored (help)<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
  13. Ladd, J.H.; Pinney, J.E. (September 1955). "Empirical relationships with the Munsell Value scale". Proceedings of the Institute of Radio Engineers. 43 (9): 1137. doi:10.1109/JRPROC.1955.277892.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
  14. Glasser, L.G.; A.H. McKinney; C.D. Reilly; P.D. Schnelle (October 1958). "Cube-root color coordinate system". JOSA. 48 (10): 736–740. doi:10.1364/JOSA.48.000736.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
  15. Wyszecki, Günther (November 1963). "Proposal for a New Color-Difference Formula". JOSA. 53 (11): 1318–1319. doi:10.1364/JOSA.53.001318.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles> Note: The asterisks are not used in the paper.
  16. Pauli, Hartmut K.A. (1976). "Proposed extension of the CIE recommendation on "Uniform color spaces, color spaces, and color-difference equations, and metric color terms"". JOSA. 66 (8): 866–867. doi:10.1364/JOSA.66.000866.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
  17. Poynton, Charles; Funt, Brian (Feb 2014). "Perceptual uniformity in digital image representation and display". Color Research and Application. 39 (1): 6–15. doi:10.1002/col.21768.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>


no:Lyshet pt:Luminosidade (cor)