## Abstract

Based on the optical principle of a slide projector, a visual tristimulus projection colorimeter has been developed. The calorimeter operates with easily interchangeable sets of primary color filters placed in a frame at the objective. The apparatus has proved to be fairly accurate. The reproduction of the color matches as measured by the standard deviation is equal to the visual sensitivity to color differences for each observer. Examples of deviations in the matches among individuals as well as deviations compared with the CIE 1931 Standard Observer are given. These deviations are demonstrated to be solely due to individual differences in the perception of metameric colors. Thus, taking advantage of an *objective* observation (allowing all adjustments to be judged by a group of impartial observers), the colorimeter provides an excellent aid in the study of discrimination, metamerism, and related effects which are of considerable interest in current research in colorimetry and in the study of color vision tests.

© 1971 Optical Society of America

Full Article |

PDF Article
### Equations (9)

Equations on this page are rendered with MathJax. Learn more.

(1)
$$\begin{array}{l}H{X}_{23}={H}_{\text{max}}-{H}_{X1+BX},\\ H{Y}_{12}={H}_{\text{max}}-{H}_{Y3+BY}.\end{array}$$
(2)
$$\begin{array}{l}{H}_{1}=H{X}_{1},\\ {H}_{2}=H{X}_{23}\xb7H{Y}_{12}/{H}_{\text{max}},\\ {H}_{3}=H{X}_{23}\xb7H{Y}_{13}/{H}_{\text{max}}.\end{array}$$
(3)
$${H}_{C}(C)={H}_{1}({C}_{1})+{H}_{2}({C}_{2})+{H}_{3}({C}_{3}),$$
(4)
$$(C)=l({C}_{1})+m({C}_{2})+n({C}_{3}),$$
(5)
$$(C)=b(B)+g(G)+r(R).$$
(6)
$$\begin{array}{l}{X}_{i}=\sum _{400}^{700}{\overline{x}}_{\mathrm{\lambda}}\xb7{S}_{\mathrm{\lambda}}\xb7{\tau}_{{\mathrm{\lambda}}_{i}}{\beta}_{\mathrm{\lambda}},\\ {Y}_{i}=\sum _{400}^{700}{\overline{y}}_{\mathrm{\lambda}}\xb7{S}_{\mathrm{\lambda}}\xb7{\tau}_{{\mathrm{\lambda}}_{i}}{\beta}_{\mathrm{\lambda}},\\ {Z}_{i}=\sum _{400}^{700}{\overline{z}}_{\mathrm{\lambda}}\xb7{S}_{\mathrm{\lambda}}\xb7{\tau}_{{\mathrm{\lambda}}_{i}}{\beta}_{\mathrm{\lambda}},\mathrm{\hspace{0.17em}\u200a\u200a}\mathrm{\hspace{0.17em}\u200a\u200a}\mathrm{\hspace{0.17em}\u200a\u200a}i=R,G,B.\end{array}$$
(7)
$$\begin{array}{l}X=r{X}_{R}+g{X}_{G}+b{X}_{B},\\ Y=r{Y}_{R}+g{Y}_{G}+b{Y}_{B},\\ Z=r{Z}_{R}+g{Z}_{G}+b{Z}_{B}.\end{array}$$
(8)
$$\begin{array}{l}x=X/(X+Y+Z),\\ y=Y/(X+Y+Z).\end{array}$$
(9)
$$s={\left[\frac{1}{n-1}\sum _{i=1}^{n}{({p}_{i}-\overline{p})}^{2}\right]}^{{\scriptstyle \frac{1}{2}}},$$