a simple additive color mixer for exploration of the color solid

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Bulletin of the Psychonomic Society 19 75, Vol. 5 (4),325-326 A simple additive color mixer for exploration of the color solid ROBERT FRIED Hunter College of the City University of New York New York, New York 10021 A simple additive color mixer, requiring only three degrees of mechanical translation and permitting manipulation of hue, saturation, and intensity of three primary light sources, is described. A SIMPLE ADDITNE COLOR MIXER FOR EXPLORATION OF THE COWR SOLID Color mixers are used for classroom demonstration of the laws of chromatic addition. They are also useful for measurement of the chroma of an object of unknown hue: the color mixer is manipulated to obtain a chroma matching that of the unknown. The setting on the mixer then provides a measure of the location of the unknown chroma on the color surface . Such devices also have research applications. They make possible controlled variation over a continuous range of hues when chromatic stimuli are used for experimental purposes. Devices of this type are more useful for all these purposes when they are also capable of intensity variation : then the color solid may be explored in all three dimensions. The author recently had need of a color mixing device to be used to investigate subjects' spontaneous variation of colors in the color solid. It was also desirable that the control manipulandum be so designed that it operated isomorphically with the subjective color solid. For this purpose , the device illustrated in Figure 1 was designed and constructed. The manipulandum has three degrees of freedom. Two degrees of translation represent hue and saturation . The third, rotation of the knob on the manipulandum, represents intensity . The equivalence of all hue directions in the color surface is well represented by its specific manipulation by rotation. Thus, operation is continuous but not indefinitely extended. This device does not provide continuous precision color mixing. But it does clearly demonstrate how colors add. It is also not possible to demonstrate the full range of hues; one must stay within the triangular system whose apexes are the colors of each of the three sources of light. However, this may also have training value since adroit selection of hues for the primary sources provides an optimal set of mixture, i.e., one that seem to fill well the color solid. Such a selection may be used to define a set of psychological primaries. CONSTRUCTION The apparatus consists of a set of three cellulose filters (labeled A, B and C in Figure I). These are mounted in the pattern of an equilateral triangle. The fllters, red, blue and yellow (Edmund Scientific Company, 806, 819, 859) are fixed in place in lens mounts. Behind the plate containing the filters there is a lamp carriage (labeled L), which is held in place by the tension of the three springs shown in the schematic. The lamp carriage is completely sealed except for a circular aperture covered by a milkglass filter . While the dimensions of the filters and lamp aperture are not critical, it should be noted that the light source should have a diameter such that when its center falls exactly at the center of the equilateral triangle, whose apexes are the filters, the light source should overlap approximately 50% of the area of each filter. The cont rol knob , K, at the end of the rod , is connected by a series of links to the lamp carriage. The control rod permits rotation through 360 deg of arc by means of the universal joint, D. Moving the rod through its maximum vertical displacement also moves the lamp "- "j'.- .. --... --::- . " .. -"- ,.""'" i '" ,, '- '" . '", - ""' , -, J !" ,,- ,,- '.__ j" I . \ ,,-- . f' s 11 ./.- .- .- " '. II 'I l lk-- - II --. -( I I! f) '. ' :1 ..--1' . --- .. -- .. .Figure 1. Lens arrangement and mechanical linkage of color mixer, 325

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Page 1: A simple additive color mixer for exploration of the color solid

Bulletin of the Psychonomic Society19 75, Vol. 5 (4),325-326

A simple additive colormixerfor exploration ofthe color solid

ROBERT FRIEDHunter Collegeof the City University ofNew York

New York, New York 10021

A simple additive color mixer, requiring only three degrees of mechanical translation and permittingmanipulation of hue, saturation, and intensity of three primary light sources, is described.

A SIMPLE ADDITNE COLOR MIXER FOREXPLORATION OFTHE COWR SOLID

Color mixers are used for classroom demonstration ofthe laws of chromatic addition. They are also useful formeasurement of the chroma of an object of unknownhue : the color mixer is manipulated to obtain a chromamatching that of the unknown. The setting on the mixerthen provides a measure of the location of the unknownchroma on the color surface .

Such devices also have research applications. Theymake possible controlled variation over a continuousrange of hues when chromatic stimuli are used forexperimental purposes. Devices of this type are moreuseful for all these purposes when they are also capableof intensity variation : then the color solid may beexplored in all three dimensions.

The author recently had need of a color mixing deviceto be used to investigate subjects' spontaneous variation ofcolors in the color solid. It was also desirable that thecontrol manipulandum be so designed that it operatedisomorphically with the subjective color solid. For thispurpose , the device illustrated in Figure 1 was designedand constructed.

The manipulandum has three degrees of freedom.Two degrees of translation represent hue and saturation .The third, rotation of the knob on the manipulandum,represents intensity . The equivalence of all huedirections in the color surface is well represented by itsspecific manipulation by rotation. Thus, operation iscontinuous but not indefinitely extended.

This device does not provide continuous precisioncolor mixing. But it does clearly demonstrate how colorsadd. It is also not possible to demonstrate the full rangeof hues; one must stay within the triangular systemwhose apexes are the colors of each of the three sourcesof light. However, this may also have training value sinceadroit selection of hues for the primary sources providesan optimal set of mixture , i.e., one that seem to fill wellthe color solid. Such a selection may be used to define aset of psychological primaries.

CONSTRUCTION

The apparatus consists of a set of three cellulosefilters (labeled A, B and C in Figure I). These aremounted in the pattern of an equilateral triangle . Thefllters, red, blue and yellow (Edmund ScientificCompany, 806, 819, 859) are fixed in place in lensmounts. Behind the plate containing the filters there is alamp carriage (labeled L), which is held in place by thetension of the three springs shown in the schematic. Thelamp carriage is completely sealed except for a circularaperture covered by a milkglass filter .

While the dimensions of the filters and lamp apertureare not critical, it should be noted that the light sourceshould have a diameter such that when its center fallsexactly at the center of the equilateral triangle , whoseapexes are the filters, the light source should overlapapproximately 50% of the area of each filter.

The cont rol knob , K, at the end of the rod , isconnected by a series of links to the lamp carriage. Thecontrol rod permits rotation through 360 deg of arc bymeans of the universal joint, D. Moving the rod throughits maximum vertical displacement also moves the lamp

"- "j'.-..--...--::- . "..-"- ,.""'" i '",, '- ' .~ , '"

. '", -""' , -,

J!",,- ,,- ' . _ _ .~

j" ~'" ~ . I. \ ,,-- .- !.~f' s 11 ./.- .- .- "'.II 'I llk--- II --.-( I

" <~ I! f)'. ' : 1

..--1'.---..--..

.Figure 1. Lens arrangement and mechanical linkage of colormixer,

325

Page 2: A simple additive color mixer for exploration of the color solid

326 FRIED

carriage, in a like fashion through its maximum verticaltravel : at the top of the travel, the hue determined bythe filter , B, will be projected on the milkglass screen, S,in the front panel of the apparatus housing. And, at thebottom of its travel, the projected hues will be thoseresulting from the combination of the lights projectedthrough Filters A and C.

Moving the rod through its maximum horizontaldisplacement produces a combination of hues projectedthrough Filters A and B at the extreme right. However,horizontal and vertical movement may be accomplishedsimultaneously . Thus , Hue A may be obtained byleft-down displacement and Hue C by right-downdisplacement of the control knob .

When the control rod is released, both the rod and thelamp carriage return to the center position and theresulting hue combination produces the projection of anoff-white on the screen. Pure white can never be

obtained for several reasons: the lamp color is not purewhite, and the combination of all hues in athree-primaries system invariably produces a numbe r ofcomplimentary components. But, the off-white is not ,subjectively , a bad match.

The potentiometer mounted in the control knob , K, ismounted to the rod by its operating shaft. Thus, theshaft is fixed in position and rotation of the knob resultsin rotation of the potentiometer about the shaft , varyingin tum, the intensity of the lamp (BRS, 4-V ac driven by6.3-Vac filament transformer) .

Movement of the control rod to any position, thecombination of a vertical and horizontal distances fromthe center, results in a hue combination dependent uponthe ftlters overlapped by the source of light.

(Received for publication December 23,1974.)