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  1. Franklin Institute Journal, p. 23; Jan.1923. Table and figure numbers enclosed in brackets in the present paper are to be understood as referring to Dr. Ives’ paper.
  2. Franklin Institute Journal, p. 673; Dec.1915.
  3. Fig. 4 in the paper by Ives.
  4. See C. Smith, Solid Geometry, p. 3.
  5. Of the same form, but using different fundamental data, as Table II in the paper by Ives.
  6. Franklin Institute Journal, p. 684, Dec.1915. In the symbols used in that paper, a, a′, a″ are the color triangle coordinates (sum=unity) of the color; u, v, and w are the color triangle coordinates of the spectrum color giving the dominant hue.
  7. Koenig, Ges. Abh. zur Physiologischen Optik, p. 287.
  8. Bulletin of Bureau of Standards, p. 475; Aug.1923.

1923 (2)

Franklin Institute Journal, p. 23; Jan.1923. Table and figure numbers enclosed in brackets in the present paper are to be understood as referring to Dr. Ives’ paper.

Bulletin of Bureau of Standards, p. 475; Aug.1923.

1915 (2)

Franklin Institute Journal, p. 673; Dec.1915.

Franklin Institute Journal, p. 684, Dec.1915. In the symbols used in that paper, a, a′, a″ are the color triangle coordinates (sum=unity) of the color; u, v, and w are the color triangle coordinates of the spectrum color giving the dominant hue.

Koenig,

Koenig, Ges. Abh. zur Physiologischen Optik, p. 287.

Smith, C.

See C. Smith, Solid Geometry, p. 3.

Bulletin of Bureau of Standards (1)

Bulletin of Bureau of Standards, p. 475; Aug.1923.

Franklin Institute Journal (3)

Franklin Institute Journal, p. 684, Dec.1915. In the symbols used in that paper, a, a′, a″ are the color triangle coordinates (sum=unity) of the color; u, v, and w are the color triangle coordinates of the spectrum color giving the dominant hue.

Franklin Institute Journal, p. 23; Jan.1923. Table and figure numbers enclosed in brackets in the present paper are to be understood as referring to Dr. Ives’ paper.

Franklin Institute Journal, p. 673; Dec.1915.

Other (4)

Fig. 4 in the paper by Ives.

See C. Smith, Solid Geometry, p. 3.

Of the same form, but using different fundamental data, as Table II in the paper by Ives.

Koenig, Ges. Abh. zur Physiologischen Optik, p. 287.

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Figures (7)

Fig. A
Fig. A

Diagrammatic representation of projection processes for transforming working primary values to fundamental sensation values.

Fig. B
Fig. B

Diagram used in the explanation of the algebraic method for finding the scale in the unit-sensation-sum plane corresponding to equal divisions in the working primary plane.

Fig. C
Fig. C

The working primary triangle transferred to the equal-sensation-sum plane.

Fig. D
Fig. D

Diagram used in the explanation of the algebraic method for finding the percentage ratios of the amount of spectral color to the amount of white, measured in luminous units, for every color from white to the spectrum.

Fig. E
Fig. E

The fundamental sensation triangle, showing (outer curve) the position of the spectrum (inner curves) the amounts of the spectral colors, on a luminosity scale, to be mixed with white to match all colors from white to the spectrum.

Fig. F
Fig. F

Luminosity curve and sensation curves for white light (5000° black body), divided into strips for transformation process from trichromatic to monochromatic system.

Fig. G
Fig. G

Elementary sensation curves of Dieterici together with a white light (5000° B. B.) luminosity curve. The dash line is the sum of the three sensation curves plotted to luminous values.

Equations (16)

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x a = a ( x 1 ) + ( 1 - a ) x 2 y a = a ( y 1 ) + ( 1 - a ) y 2 z a = a ( z 1 ) + ( 1 - a ) z 2
x a = k x a y a = k y a z a = k z a ,
x a + y a + z a = 1.
k = 1 x a + y a + z a .
x a = a ( x 1 - x 2 ) + x 2 ( 1 - a ) ( x 2 + y 2 + z 2 ) + a ( x 1 + y 1 + z 1 ) y a = a ( y 1 - y 2 ) + y 2 ( 1 - a ) ( x 2 + y 2 + z 2 ) + a ( x 1 + y 1 + z 1 ) z a = a ( z 1 - z 2 ) + z 2 ( 1 - a ) ( x 2 + y 2 + z 2 ) + a ( x 1 + y 1 + z 1 ) .
d a = [ x a - x 2 ] 2 + [ y a - y 2 ] 2 + [ z a - z 2 ] 2 .
p = h H L s h H L s + w W L w .
h H = A C A B ; w W = C B A B = A B - A C A B .
p = A C · L s A C · L s + ( A B - A C ) L w ,
a = p L s L w ( 1 - p ) + p .
L w = A L a w ,
L s = L λ · 3 A c a w ( r + g + b ) .
L s L w = 3 A c A L · L λ r + b + g .
a = p 3 A c A L · L λ ( r + b + g ) ( 1 - p ) + p .
p = a · 3 A c A L · L λ ( r + b + g ) ( 1 - a ) + a · 3 A c A L · L λ ( r + b + g )
p = 1 - L w = 1 - ( a w - a v ) ( L R + L G + L B ) ( u - v ) ( a L R + a L G + a L B ) ,