1935
DOI: 10.1364/josa.25.000361
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Maximum Visual Efficiency of Colored Materials

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Cited by 169 publications
(81 citation statements)
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“…The initial studies of Schrödinger 6 and Rösch 7 were summarized by MacAdam in the following theorem: the maximum attainable purity for a material, from a specific given visual efficiency and wavelength, can be obtained if the spectrophotometric curve has as possible values zero or one only, with solely two transitions between these two values in all the visible spectrum. In 1935 MacAdam demonstrated this theorem 4 by assuming an equivalence between this problem and the calculation of the gravity center in additive color mixing. Therefore, the Rösch-MacAdam color solid can be understood as the color space derived from the color-matching functions.…”
Section: Introductionmentioning
confidence: 99%
“…The initial studies of Schrödinger 6 and Rösch 7 were summarized by MacAdam in the following theorem: the maximum attainable purity for a material, from a specific given visual efficiency and wavelength, can be obtained if the spectrophotometric curve has as possible values zero or one only, with solely two transitions between these two values in all the visible spectrum. In 1935 MacAdam demonstrated this theorem 4 by assuming an equivalence between this problem and the calculation of the gravity center in additive color mixing. Therefore, the Rösch-MacAdam color solid can be understood as the color space derived from the color-matching functions.…”
Section: Introductionmentioning
confidence: 99%
“…The shape of the psychological color solid may be described as a grossly misshapen grapefruit, set so that the pithy core is vertical with an irregular outer surface or skin, determined by the MacAdam theoretical pigment limits [4]. The bounding surface has been determined in Munsell renotation terms by Nickerson and Newhall [8].…”
Section: Peripheral Color-name Blocksmentioning
confidence: 99%
“…With the same intention, the color rendering capability of a light was introduced by Xu [11] as a measure of the capability of the light for revealing many different colors and was evaluated by the color volume enclosed by the optimal colors expressed in the three-dimensional space CIE 1976 L u v . The optimal colors represent the theoretical limits of all colors arising only by reflection (or transmission) [12], and the corresponding loci was computed in a color diagram [13,14] and was recalculated later by MacAdam [15,16] to obtain the MacAdam limits or Rösch-MacAdam limits. The Rösch-MacAdam solid expressed in the CIELAB color space is a powerful tool and has been routinely used to estimate the color rendering capability of daylight and of standard illuminants [17][18][19], the gamut of color-deficient observers [20], and the theoretical limits of the number of distinguishable colors [21,22].…”
Section: Introductionmentioning
confidence: 99%