0042-6989/91 53.00 + 0.00 Copyright 0 1991 Pergamon Press plc VisionRes. Vol. 31, No. IO, pp. 1797-1812, 1991 Printed in Great Britain. All rights reserved COLOR VISION FOLLOWING INTENSE GREEN EXPOSURE: DATA AND A MODEL HARRY G. LIGHT SPERLING,* ANTHONY A. WRIGHTand STEPHEN L. MILLS The University of Texas Health Sciences Center at Houston, Graduate School of Biomedical Sciences, Sensory Sciences Center, 6420 Lamar-Fleming Avenue, Houston, TX 77030, U.S.A. (Received 22 January 1990; in revised form 17 January 1991) Abstract-Hue discrimination, spectral sensitivity, and mathematical models of both are presented for a rhesus monkey which was exposed to intense green light. One of the monkey’s eyes was blue-blinded in a previous experimental procedure and the other was color normal. The results of green light exposure showed a loss of sensitivity on both measures, with greater loss in the blue-blinded eye. Although there was considerable loss of hue-discrimination in the blue-green spectral regions, hue-discrimination at the point of best discrimination, 590 nm, remained unaffected. This pattern of results poses difficulties for models of hue discrimination, and has resulted in the proposed model employing three opponent color channels. The number of free-parameters are minimized and the integration between spectral sensitivity and hue discrimination enhanced by deriving parameters used in modeling hue discrimination from spectral sensitivity or vice versa. Color blindness Hue discrimination Wavelength discrimination Rhesus Monkeys Models of color vision Color vision INTRODUCTION Repeated exposure of rhesus monkeys’ eyes to intense blue light has been shown to produce permanent loss of blue spectral sensitivity resembling that of tritanopes (Harwerth & Sperling, 1971, 1975). Histological evidence supported this finding by providing a pattern of damaged cones that resembled the pattern of blue-sensitive cones (Sperling, Johnson & Harwerth, 1980). Exposure to intense, narrowband, green light had been shown to produce a loss of green spectral sensitivity resembling that of deuteranopes, but the loss was temporary and showed complete recovery to full trichromatic function in the course of 1840 days (Harwerth & Sperling, 1971, 1975). This pattern of results opened the possibility of combining the effects of these two exposures and effectively producing an experimental monochromat monkey, one that has a permanent loss of blue response and a temporary loss of green response. Recovery of the green response would provide the possibility of monitoring the color vision system from monochromacy to dichromacy in the already blue-blinded eye and from dichromacy to normal trichromacy in the normal eye. This would ‘To whom all correspondenceshouldbe addressed. Deuteranopia Tritanopia provide a large new data surface for modeling the color vision components and their interactions. The psychophysical color vision measure in these studies had been the increment-threshold spectral sensitivity. This measure is somewhat limited in sensitivity and power because threshold sensitivity reflects only the upperenvelope of cone sensitivities. It measures only the sensitivity of the most sensitive (opponent) process at each wavelength, leaving less sensitive processes unmeasured. One result of measuring only the upper envelope was that one could not, for example, discriminate the case where the green response had been totally eliminated from the case where it was made only somewhat less sensitive than adjacent processes. In an attempt to rectify this limitation and add more modeling power, a hue discrimination procedure was introduced in conjunction with the spectral sensitivity procedure. Hue or wavelength discrimination does appear to have some advantage over spectral sensitivity as a phychophysical measure in that it reflects the proportion or ratio of change in two (or more) of the color-vision processes at the wavelength being measured. In order to test these potential advantages of hue discrimination measures, one monkey that was blue-blinded in 1797 1798 HARRYG. SPERLING et al. the Harwerth and Sperling (1971) study was trained to make hue discriminations in a Maxwellian view apparatus (Wright, Sperling & Mills, 1987). This monkey was trained to discriminate which of two small spots of monochromatic light was different from a third reference monochromatic spot. The resulting hue discrimination functions added considerable information to that provided by the spectral sensitivity functions, and supported the previous claim that the blue-blinding technique produced experimental tritanopia. This hue discrimination experiment demonstrated the feasibility of planning to measure both hue discrimination and spectral sensitivity during the course of recovery from exposure to intense green light and the resulting temporary green blindness. The purpose of the research reported in this article was to test spectral sensitivity and hue discrimination during the course of recovery from the effects of exposure to intense green light. The results were surprising in that the hue discrimination data did not bear out the earlier conclusions from threshold spectral sensitivity data that the prolonged green light exposures produced temporary deuteranopia. The results of these tests, nevertheless, provide understandable changes in both measures which when dealt with together provide the basis for a model which closely integrates spectral sensitivity and hue discrimination, but in a way which is fundamentally different from other color discrimination models in that satisfying both sets of data requires a second red-green opponent channel. MElTHODS Subject The subject was a 15 year old, 9 kg male rhesus monkey (Mucucu muluttu) who had extensive experience in several psychophysical experiments and had been exposed to intense blue light (Harwerth & Sperling, 1971, 1975; Wright et al., 1987). Apparatus Hue discrimination.Three chromatic channels produced stimuli of wavelengths ranging from 400 to 700nm of 2-11111 half-bandwidths; and were formed by three sets of double monochromators with light from a single 1600 W xenon arc lamp. These paths were manipulated with standard shutters, apertures, mirrors, neutral density wedges, and lenses to form an inverted triangle of three 3000 phot. td circles that emerged through 0.75 deg holes, bounded by a 2 deg circle, in a 10 deg white, circular, 3000 td background field. This white background path was illuminated by a tungsten-halide lamp, filtered to approximate equal energy through the visible spectrum. All four paths were imaged to form a Maxwellian view. Wavelengths, intensities, behavioral parameters and responses were automatically controlled or collected via a Cromemco Z-2D microcomputer. A drinking spout, used to deliver juice reinforcement, was positioned so as to provide a cue for head position so that the trained animal was able to maintain optimum head position for alignment of the Maxwellian view. The alignment was frequently checked via a telescopic arrangement, which allowed the experimenter to view the refiection of the stimuli in the pupil (see Wright et al., 1987 for complete details and a diagram of the apparatus). Increment-threshold spectral sensitivity. A different three-channel Maxwellian-view system was used to test spectral sensitivity. Light from a 1600 W xenon arc lamp passed through two 10-nm half-bandwidth monochromators and was regulated to produce 50 msec, 2 deg spectral test stimuli. A tungsten-halide lamp formed an 18 deg, 3000 td, equal energy white background field upon which the test flash was superimposed. A chromatic adaptation path of 18 deg was formed by a second channel from the 1600 W xenon arc lamp via interference filters, and provided 6-nm half-bandwidth spectral light. Intensity of the test flash was controlled by a pair of counter-rotating neutral density wedges. The reciprocal of the energy at threshold for each wavelength provided the ordinate values of the spectral sensitivity curves. (For complete details and a diagram of the optical system see Harwerth & Sperling, 1975.) Procedure Hue discrimination. A clicker stimulus signaled to the monkey that a trial could begin. The monkey depressed a lever to signal readiness for delivery of the stimuli. Two seconds after lever depression, the three monochromatic circular spots appeared for one second. The two upper chromatic spots were the comparison stimuli. The lower chromatic spot was the reference or standard against which the comparison stimuli were to be judged. One of the compari- Intense green light exposure son stimuli, randomly determined from trial to trial, always matched the reference stimulus. The monkey was required to release the lever within the period, and to make a right-left choice within the next 4 set, thereby signaling which of the two upper stimuli appeared different from the lower stimulus. Orange-flavored Tang was delivered on half of the correct choices (on a pseudo-random basis). Intertrial intervals were 7 set following correct responses and 10 set following incorrect responses or aborts (trials with no response or responses at inappropriate times). The disparity between the reference stimulus and the nonmatching comparison stimulus was the independent variable. If the nonmatching stimulus was of longer wavelength than the reference and matching comparison stimulus, this procedure was referred to as a cue-larger trial; if the nonmatching stimulus was of shorter wavelength, the trial was referred to as a cuesmaller trial. Thresholds were determined by a descending method of limits, where the experimenter arranged the initial disparity of the matching and nonmatching wavelengths to be easily discriminable. As the disparity was decreased, large steps were initially taken. Smaller steps were taken as discrimination became more difficult. The nonmatching chromatic light spot varied pseudorandomly from the right to the left side on successive trials. The wavelength difference was reduced after the animal had correctly identified the nonmatching stimulus as it appeared on each side. A miss on each of the trials where the stimulus appeared on different sides resulted in that wavelength difference being defined as the threshold and threshold deterrnination was then begun for the next wavelength. All other combinations of events led to a case of “suspended judgment”, where the same wavelength difference was repeated until one of the other criteria was met. Typically, a session consisted of trials in which the nonmatching comparison stimulus was of a longer wevelength than the two matching stimuli for the entire session, or occasionally it was of shorter wavelength. The procedure was tailored so that an entire function could be obtained in a single session, thereby reducing day-to-day variability within individual functions. The dynamic nature of the changes induced by our intense light exposures demanded this rapid method, as opposed to the more precise, but time consuming frequency-of-seeing . _. (constant stimulus) method. 1799 sensitivity Spectral sensitivity. Spectral involved a similar descending method-of-limits (see Sidney & Sperling, 1967; Herwerth & Sperling, 1975). The 2 deg test stimulus was flashed for 50msec in a randomly determined time interval OS-10 set (mean 5 set) after a trial was started by the monkey depressing the lever. A correct detection was signaled by release of the lever within 0.4 set of the flash onset. Test intensity was reduced by 0.05 log units after each trial until two successive misses had been recorded. The intensity of the first miss was taken as the threshold and the trials for the next wavelength began. Thresholds were obtained twice for each 10 nm from 410 to 690 nm and back (alternating initial directions) in each session. During color-blinding sessions, where a large number of trials must be reserved for the actual exposure to the intense light, a skeleton function was measured prior to addition of the intense background field. Intense green-light exposure. The intense spectal light exposures, referred to as “greenblinding” were performed using the spectral sensitivity paradigm. An exposure session began with determination of a few thresholds for some control wavelengths, requiring about 100 trials. Following completion of this portion of the session, the test flash wavelength was set at 610 nm and an 18 deg, 530 nm, green field was added coincident with the 18 deg, 3000 td white background. This field was initially only moderately intense, but its intensity (radiance) was gradually increased. As the monkey light adapted, intensity was added to the green field, maintaining a task that was neither uncomfortable nor unusually difficult for the animal to perform. An infrared camera enabled the experimenter to monitor the amount of time actually spent looking at the stimuli as well as any apparent reluctance of the monkey to view the increasingly intense stimulus. As the exposed eye of the monkey adapted to the green field, threshold sensitivity declined. To facilitate continued detection at maximal intensity of the green background, the test duration was lengthened and the wavelength of the test flash was changed gradually to 580 nm, near peak sensitivity of the red receptors. Furthermore, the interval in which the test flash might appear was lengthened to 200 msec to promote a greater time of exposure to the intense stimulus per trial. An intensity of the background was always reached, nevertheless, beyond which discrimination of the increment flash was not 1800 HARRYG. SPERJANG et al. possible, or beyond which the detection rate was too infrequent to support the operant behavior. At this point, the background and stimulation conditions were maintained for the duration of the session. This level for the normal eye was 1.2 x 10-l W/sterad of 530 nm, 6-nm half-bandwidth light. For the blue-blind eye, this level was reached between 1.5 and 2.0 x 10-l Wjsterad. In the experiment on the normal eye, the animal was exposed to the intense green light regime for 10 consecutive days, of several hours per day terminated when the animal would stop working because his thirst was slaked. Hue discrimination measurements, which were always taken in the afternoon, commenced on the day of the final intense green exposure. Hue discrimination sessions were preceded by increment-th~hold spectral sensitivity sessions, and the spectral-sensitivity values were used to equate the intensity of the hue discrimination stimuli. In the experiment on the previously blueblinded eye, the animal was exposed to the intense green light regime for 30 consecutive days, and hue discrimination measurements were also taken on most green light exposure days. chromatic spot of a longer wavelength than the reference. This is the “cue-larger” relationship. The functions in Fig. 1 are 5-day means (day 4 of recovery is not included because a cuesmaller relationship was tested on that- day). The results form a continuous gradient of deficit in the green region of the fun&on. Loss was greatest at about 530 nm, with the limen increasing from a normal level of about 6 nm to over 27 nm. Discrimination loss was restricted to the 500-570 nm interval, except for recovery days 6-10 which showed some loss over the blue region. With this one exception, thresholds outside this region were at least as small as normal. Figure 2 shows the mean increment-threshold spectral sensitivity curves taken over the same time period shown in Fig. 1. The change in spectral sensitivity was very similar to those previously shown under similar conditions by Harwerth and Sperling (1971, 1975). There was a change from a three-peaked sensitivity curve to a broadening of the long-wave peak immediately after exposure, a concomitant near-disappearance of the mid-spectral peak, and a return to the pre-exposure three-peaked curve with recovery. Blue -blinded eye Figure 3 shows hue discrimination results from a series of intense green-light exposures to the experimentally blue-blinded eye. The RESULTS Normal eye Figure 1 shows average hue discrimination curves obtained over 18 days of recovery following exposure of the monkey’s normal eye to intense green light. The first day of recovery followed the tenth day of green exposure. Most sessions were conducted with the nonmat~hing 30 - 20 z 3 10 I I 500 600 \\I $700 Wavelength (nm) 500 600 Wavelength (nm) Fig. 1. Mean hue eon functions obtained on the rhesus nomA eye before (&shod line) and svemgadover days: l-5 (A), 6-10 (V), 11-15 (O), 16-20 (+) follOwin the 10 day green light exposure series. Fig. 2. lncmt-tmhold spectral sensitivity functions obtained with a 2&g testIi@ ag&ist a 3000 td 18 deg neutral white background in the rhesus’ tiorma~ eye before (darker line) and averagad over days: 1-5 (A), 6-10 (7% 11-15 (Cl), 16-20 (+) following the 10 day green light exposure series. 1801 Intense green light exposure 60 E- E. 40 $ 20 0 400 500 Wavelength 600 700 (nm) Fig. 3. Hue discrimination functions for the blue-blind eye before exposure (dashed line) and on days: 2 (V), 4 (A) and 6 (0) of intense green light exposure. tain motivation for hue-discrimination testing). It is of some importance that green light exposure completely eliminates the notch at 580 nm which formerly delineated the red and green region peaks prior to green light exposure. Two subsequent exposure experiments replicated the important features of the results shown in Figs l-4. Although the deficits were not as long-lasting, they showed similar spectral sensitivity, hue discrimination, and stability of the 590 nm minimum in the hue-discrimination function. DISCUSSION AND MODELING The results of these experiments show the effects of intense, prolonged green light exposure on the spectral sensitivity and hue discrimination of the monkey’s normal and blue-blind eye. As shown in Figs 1 and 2, the prolonged exposure of the normal eye to intense green light resulted in changes in both hue discrimination and increment-threshold spectral sensitivity. At first, there was change at the 580 nm notch of the increment-threshold spectral sensitivity function which was replaced by a large, broad peak near MO-570nm. This was accompanied by a roughly three-fold loss of sensitivity in the hue discrimination function in the green region between 490 and 590 nm. Notably, there was no discrimination loss at the two hue discrimination minima at 490 and 590 nm. Then, as the 580 nm notch in the incrementthreshold function gradually recovered, over a period of days, the 490-590 nm hue discrimination loss gradually recovered as well. In the blue-blinded eye, as seen in Figs 3 and 4, with prolonged intense green light exposure there was a loss of the 580 nm increment-7 r threshold notch, accompanied by a large loss of hue discrimination over the blue-green region for wavelengths less than 590 nm. In this bluegreen region, the hue-discrimination sensitivity decreased from about 30nm to about 80nm. By contrast, hue discrimination sensitivity at 590 nm, the minimum of the function, remained unchanged. Before considering implications of these green-light exposure results for models of color I I \\ \ ’ vision, evidence will be presented and it will be 600 L700 500 argued that the monkey based its discrimiWavelength (nm) nations on color or hue differences and not any Fig. 4. Mean increment-threshold spectral sensitivity functions obtained with a 2 deg test light against a 3000 td neu- possible brightness differences. The results will tral white backgroundon the rhesus’blue-blindeye before then be compared to human hue discrimination (solid curve) and on day 4 of green light exposure (A). results that have shown, for comparable exposures were continued for a total of 30 days in an attempt to maintain a peak level of color deficiency. Recovery began to manifest itself by day 7 of exposure, however, and peak levels could not be maintained. Although elevations of the limens were not maintained for nearly as long a time period as those to the normal eye (Figs 1 and 2), the maximum limens attained were in the 60-80 nm range, as opposed to a maximum of 30 nm in the normal eye. This much larger deficit is not surprising in view of the absence of blue response. In effect, wavelength discrimination in this eye is dependent upon red-green opponency. With the green response greatly reduced, it would seem that there would have to be poorer discrimination than in the normal eye where blue response was present. Spectral sensitivity functions are shown in Fig. 4 for the pre-exposure and maximum green light effect conditions (but only down to wavelengths of 490 nm to conserve trials and main- 1802 HARRYG. SPERLINGet al. reasons, elevated thresholds. These comparisons will serve to “set the stage” for the hue-discrimination model to be presented in the final section. Control by hue di$eences not brightness direrences Spectral sensitivity measurements are critical to performing valid tests of hue discrimination. Spectral sensitivity provides the means to equate the brightness of the stimuli so that subjects will not and cannot use brightness difference as the basis for their discrimination performance. Animal subjects underscore this potential problem because animals, unlike humans, cannot be brought under instructional control to attend only to color differences. Animals tend to use any and all cues available in order to maximize reward. Therefore, in the hue discrimination task of these experiments, intensities of chromatic stimuli were adjusted according to the most recent increment-threshold spectal sensitivity measurements and linear interpolations were made for itermediate wavelengths. Furthermore, since spectral sensitivity coefficients which may produce equal brightness at one intensity level will not necessarily produce equal brightness at other intensity levels, spectral sensitivity and hue discrimination were conducted at the same overall intensity level-a 3000 td background. In addition, as the wavelengths were made more similar, which occurred each time the hue discrimination threshold was approached, the intensities of the different wavelengths and hence their brightnesses were forced to similar values. For example, with a wavelength difference of only 5 nm, there would not be enough brightness difference, for virtually any reasonable set of spectral sensitivity coefficients, to provide any reliable brightnessdiscrimination cue. Finally, a test was conducted to assess any possible brightness control (Wright, et al., 1987). The CIE photopic luminosity coefficients for the standard human observer were used, with 560 nm set to 3000 td. The difference between the stimuli adjusted according to the CIE coefficients as opposed to the monkey’s increment-threshold spectral sensitivity values was as large as 2.4 log units in some cases with an average difference across the spectrum of 0.67 log units. These differences are much larger than any day-to-day variability from our increment-threshold spectral sensitivity procedure. The main reason for this substantial difference between these two coefficient sets is that flicker photometry and hetrochromatic brightness matching results, on which the CIE values are based, reflect the response of the nonopponent “luminance” channel, while the incrementthresholds spectral sensitivity values for 50 msec test flashes of large (2 deg) diameter against high photopic neutral backgrounds are based upon opponent processes. The resulting hue discrimination function for the CIE brightness corrections, however, was very similar to the average hue discrimination function based on the increment-threshold corrections (see Fig. 4 of Wright et al., 1987). This test provided evidence that the hue discrimination procedure used in these experiments trained the monkey to rely upon hue differences not brightness ones. The results themselves have the form one would expect with discriminations based upon hue, which is additional evidence that color differences, not brightness difference, were the basis for the discriminations. Figure 5 shows comparisons with comparable human hue discrimination data. The results from the monkey are shown as solid symbols; those from humans are shown as open symbols. The results from the monkey’s normal eye (solid circles) are similar in form and magnitude to those from normal humans (Wright, 1946, Fig. 95, p. 313). Those from the monkey’s blue-blind eye (solid squares) are similar in form and magnitude to 0 400 500 600 700 Wavelength (nm) Fig. 5. Hue discrimination data from rhesus normal eye befure exposure series (e), from blue-blind eye before exposure series (a), from bhw-Mind eye after green exposure (A) compamd with Wright’s (1965) data on 5 normal humans (O), Fiir et al’s (1951) data on a congenital human tritanopa (a), Willmcr and Wright’s (1945) data averaged fkom two nomml hwmn w tated with a 2Omin diameter comparison Add (A). . . All data are displayed on a true A1 scale, without dbptram~nts. Intense green light exposure those from a congenital tritanope (Fischer, Bouman & ten Doeschate, 1951). Finally, those from the monkey’s blue-blinded eye during green-light exposures (solid triangles) are similar in form and magnitude to those from humans tested with a small field, a 20 min diameter target in the central fovea from two normal humans (Willmer & Wright, 1945). It is of some interest that the form of the hue-discrimination function for the blueblinded eye after green light exposure is similar to that taken under conditions of small-field tritanopia. Support for this small-field comparison was shown in some spectral-sensitivity results on a different rhesus monkey when the test stimulus was made progressively smaller. Figure 6 shows that as the stimulus gets smaller, the 580 nm notch becomes shallower, completely disappearing below 15 min diameter. Recall that, in increment-threshold spectral sensitivity, green exposure of the blue-blinded eye results in a loss of the notch at 580 nm (Fig. 4). If one were to speculate about underlying mechanisms, it would appear that with intense, repeated green exposure there is a selective loss of the inhibitory interaction underlying color opponency, signified by a loss of the notch. Some of the same processes may occur with small field -7 -6 m E : u : -9 $ -I -11 I 400 500 Wavelength 600 700 (nm) Fig. 6. Increment-threshold spectral sensitivity functions obtained on a normal rhesus eye against an 18 deg 3000 td neutral background with decreasing stimulus diameters of: 2 deg (top), 30 min (center) and 15 min (bottom). 1803 stimulation, since there is good evidence that red-green opponent ganglion cells are spatially organized. When this loss of red-green opponency is combined with an absence (or near absence) of blue receptor response (in blue-blind monkey and/or central fovea, then the loss of discrimination in the blue-green regions is profound. It seems clear from the close correspondence between the monkey’s hue discriminations under the different conditions and the human data, in Fig. 5, that the results reported here are hue, not brightness discrimination, data, since the human subjects, in each case, were judging brightness equated stimuli. Other studies showing elevated hue-discrimination thresholds Previously it seemed that prolonged greenlight exposure produced temporary deuteranopia (Harwerth & Sperling, 1971, 1975); but the only measure in those studies was increment-threshold spectral sensitivity. Deuteranopes, however, show no hue discrimination at longer wavelengths than about 550 nm (e.g. Pitt, 1935, 1944). But in this region, where hue discrimination is unmeasurably large for deuteranopes, the monkey of this article discriminates best-at the 590 nm minimum. This 590 nm minimum remained stable despite an apparent loss of G-cone response sufficient to eliminate a peak response in the increment-threshold spectral sensitivity function, and to cause a three fold rise in the mid-spectrum hue discrimination thresholds. Deuteranomaly, a color-vision defect which appears to be due to shifted cone sensitivities rather than the deuteranope’s reduced sensitivity (Rushton, Powell & White, 1973; Piantanida & Sperling, 1973a, b; Alpern, 1981), like deuteranopia shows hue discrimination threshold elevations at the 590 nm minimum (Wright, 1946, Fig. 190). It is, therefore, necessary to conclude that the effects of intense green-light exposure are different from both deuteranopia and deuteranomaly. Other experiments which for one reason or another show elevated hue discrimination thresholds also show elevated thresholds at the 590 minimum. Figure 7 compares results from three different experiments (panels A-C) to the results from the monkey’s green-exposed normal eye (panel D). The upper two panels (7A and B) show hue discrimination curves taken from fovea1 and more eccentric retinal 1804 fiAttRYG. %ttLINO et d. Wavelength (nm) 0 400 500 660 Wavelength (nm) 700 500 600 700 Wavelength (nm) Wavelength (nm) Fig. 7. Hue discrimination functions obtained (A) by Weaie (1951) in the fovea and at IO@ in the parafovea, (B) by Mark and Mar& (1978) in the fovea and at 4deg in the parafovas,(Cl by Hurvich and Jamwon (l%I) in the fovea with two lumimwc kv& of a red annuhw. (D) is our thaws data on the normal eye obtained in the fovea before and immedintely aRer the series of intcnac gmen light exposures. locations. Figure 7A, from Weale (1951, 1953) compares curves taken in the fovea and at 10 deg eccentricity. The mid-range limen rises to 50 nm, as compared to 30 nm for our monkey’s limen, and the 49Omn minimum is elevated relative to the 590 nm minimum. Weale’s study held the stimulus size constant and made no special attempts to control possibk rod intrusion at the eccentric location. Unlike the green exposure results from the monkey’s normal eye (panel D), there is appreciable loss of discrimination at all wavelengths, including the two minima, as compared with the fovea1 curve. Figure 7B shows a similar elevation at 4deg eccentricity (Ma& & Mar&, 1978). Again, the entire 4deg curve shows poorer discrimination than the fovea1 curve. Hue carnation curves taken with stimuli scaled by cone densities show much less dramatic e&c&s of eccentricity (van Esch, Koldenhof, van Doom & Koenderink, 1984). Also, hue nonagon curves taken at 7.5deg temporahy during the cone plateau period following exposure to bright light demonstrate that much of Weak’s effects were due to rod intrusion (Stabell & Stabell, 1977). Figure 7C shows two curves taken with a red annutus surrounding the comparison stimuli (Hurvich & Jameaon, 1961).The lower curve was taken with the luminance of the test patch set at twice that of the annulus. The upper curve shows hue discrimination when the test stimuli were half the luminance of the annulus. By the well known process of simultaneous color induction, the red annulus would be expected to induce a green sensation (the complement of red) in the area where the test stimuli are located, and therefore reduce the ability to discriminate &rely between green stimuli. Although these data were taken in the fovea, it is important to note that (unlike our monkey’s post-green-exposure curve) they also show elevthmsh&s at all waveated hue lotion lengths, including the 590 nm minimum. Comparisons to these other results help to exchde the possibility that the monkey in the expcritrtent of this article shifted his tixation during testing to a retinal position outside the area exposed to intense green light. Two points argue against of¢er 8xation as the expianation for the performance changes after green Intense green 1805 light exposure light exposure. First, the test stimuli remained centered in the 3000 td white background field regardless of eccentricity of viewing and would thus be expected to maintain rod s&uration. Second, in all cases where a stimulus of constant size is viewed in the periphery, discrimination is lost throughout the visible spectrum. In the results presented for the monkey following green exposure, however, there is no loss except in the mid-spectral region (Fig. 5D), and the minima near 490 and 590 nm show no loss or wavelength shift. A similar argument can be made that these results from the green-light exposed monkey are not due to some prolongs, induced green sensation like those of Fig. 7C, because, there too, all wavelengths showed a loss, unlike our monkey’s data. (4 30 20 S 7 Q 10 0 400 500 700 600 Wavelength (nmf (W 30 20 Models of hue discrimination and spectral sensi- tiuify Models of hue discrimination typically begin with the basic premise that hue discrimination is more acute in spectral regions where chromatic response functions change rapidly than where they change slowly. This is directly related to cone response spectra in the case of the trichromatic models, or incorporated in opponent functions in the case of the zone models. Chromatic processes are generally computed under conditions of constant brightness, and so functions normalized for brightness must therefore be considered, rather than spectral sensitivities of the cone or opponent processes. The rate of change of the chromatic channels is usually expressed relative to the total amount of ongoing activity. This is expressed in the use of Weber fractions for some models (e.g. Helmholtz, 1891; Stiles, 1946; Boynton, 1979) and estimation of quanta1 noise fluctuations for others (Massof, 1977; Vos & Walraven, 1972). Finally, the relative contributions of individual channels or components must be combined in some fashion. These include the use of simple summation, vector combination, or the use of only the mechanism most sensitive over a wavelength region. *The Guth model can predict some loss of mid-range sensitivity with stability of the 590 nm minimum with an increase(rather than a decrease) in the + R - G channel muftipiier.This approach, however, predicts a threshold spectral sensitivitycurve with a large increase in the mid-spectral rangethat is incompatible with the spectral sensitivityresults shown in Figs 2 and 4. IT E. S-z * 10 i 400 0' I I I 1 500 600 700 Wavelength fnm) Fig. 8. Comparison of mean hue discrimination data obtained on the normal eye before green light exposure (0) and immediately after green light exposure (A) with predicted hue discrimination as a function of increasing attenuation of the G cone input to the model from lower to upper curves in the model of (A) Stiles (1946) and of (B) Guth et al. (1980). Figure 8 models the green-exposure results from our monkey’s normal eye by reducing the G-cone contribution using the Stiles (1946) and Guth, Massof and Benzschawel(l980) models* of hue discrimination, representative of the two broad categories of single stage trichromatic and zone models in panels A and B, respectively. As the relative input of the G-cone class is attenuated, the curves rise primarily at wavelengths longer than 500 nm and will eventually show a complete elimination of the 590~nm dip in the function when the U-shaped deuteranopic endpoint is reached (Pitt, 1935). In zone models, with attenuation of G-cone response, the elevation of the 590~nm minimum is due to the broadening of the + R - G opponent function from one with a peak beyond 600 nm and a rapid decrease around 590 nm to one closer to the R-cone function, with a peak nearer to 570 nm and less change around 580-590 nm. Other zone models (Hurvich & Jameson, 1955; 1806 HARRY G. SPEULINGet al. Vos & Walraven, 1972; Ingling & Tsou, 1977) produced similar elevations of the 590 nm minimum, making them inappropriate for modeling the results of this article. Proposed model of hue discrimination and spectral sensitivity A comprehensive model is proposed that integrates spectral sensitivity and hue-discrimination results by using the parameters derived from one to account for the other, and is shown to be compatible with appropriate visual physiology. The problem that previously discussed models encounter is that reducing the G-term of the + R - G opponent channel reduces the rate of change near 590nm and thus falsely predicts poorer discrimination in that region. A way to get around this problem is to introduce a + R - G term, which then compensates for the loss of -G in this region with an opponent mechanism whose rate of change is mod&d differently with loss of G response. The use of such a term is defensible on several grounds. First, neural units with +G - R characteristics have been found with high frequency in all single unit studies of retina, LGN and cortex (e.g. de Monastario & Gouras, 1975; De Valois, Abramov &Jacobs, 1966; Michael, 1978;Wiesel & Hubel, 1966). Second, De Valois et al. succeeded in modeling his hue discrimination data with the inclusion of such a channel based on his single unit findings in the LGN. Third, in their treatment of increment-threshold spectral sensitivity data obtained with different intensities and wavelengths of spectral light backgrounds, Sperling and Harwerth (1971) found that the middle- and long-wave peaks, near 530 and 610 nm, required opponent interaction between R and G cones, but with different rates of change of the shape of the peaks, with different chromatic adaptation series, such that the same R and G inputs could not symmetrically model both peaks with a change of signs, as proposed in the models of Guth et al. (1980) and Inghng and Tsou (1977). Sperling and Harwerth (1971) therefore proposed a model with different weightings of the R and G cone inputs to two R/G channels. Figure 9 shows recently gathered increment-threshold spectral sensitivity data obtained on the two eyes of the same rhesus which illustrates this kind of asymmetry in a more exaggerated form. The left eye had been injected with a neurotransmitter blocking agent. Several things are made clear by these data. Very nearly the same amounts of +G and -R m 5 ? r- . \. -9 . t? -1 I I 500 600 \, 700 Wavelength (nm) Fii. 9. Mean increment-threshold spectral sensitivity functionsobtainedon the r&Ineye (above) and kA eye (below) ofarhesusmonlteyovertheumepriod,withaZdcsttst flash against an 18 deg, 3000 td equal energy, white background. The two eyes had been injected with different chemical agents to modify inhiiory ncuro-transmitter activity. This data requires the same red-pan ratio to fit the center peak in both eyea and a very d3ferent red-pen ratio to fit the long wave peak in the two eyes. If there were only one R/G channel this result would be impossible. are required to fit the center peak in each eye. Yet, to fit the long-wave peak in the two eyes requires very different amounts of both + R and -G. It follows that the middle and long wave peaks cannot be represented by the same + R - G channel. Also, the center peak cannot be represented by + R + G, as though it were produced by a luminance channel, because it is too narrow. Thus, the conclusion of Sperling and Harwerth that there are two R/G-opponent channels with different inputs from the two classes of cones seems inescapable. Having two R/G channels raises an interesting theoretical issue. If both are activated at once, which of the two determines perception? This is not a problem in the Sperling-Harwerth model of spectral sensitivity or the huediscrimination model proposed below because they are upper-envelope models. The most sensitive channel determines the threshold detection or discrimination over a spectraI region. The proposed model of hue discrimination will be shown to account for the huediscrimination results of this art& and is generalized to other hue discrimination results as well. The 1807 Intense green light exposure basic tenets of this model are: (1) spectral sensitivity and hue discrimination are different functions of the same three opponent channels; (2) spectral sensitivity is a direct reflection of the sensitivity of the three channels; (3) hue discrimination reflects the rate of change as a function of wavelength in the three channels, which takes the form of the first derivative with respect to wavelength; and (4) the opponent channels are weighted differently in spectral sensitivity and hue discrimination. These four tenets are expressed mathematically in the following expression: spectral sensitivity data and then carried over unchanged to predict hue discrimination obtained on the same day and under similar conditions. It was found, empirically, that the long-wave channel must be weighted 0.1, the middle 0.35 and the short-wave channel 0.6. These weightings are not parameters free to vary for each condition, but are fixed weights throughout the application of this model for going from threshold detection to suprathreshold hue discrimination over all conditions studied. The Sperling-Harwerth model for spectral sensitivity (1971) is: 1 A Al = 1.3/M A A O.l(K,& - K,G,) M[O.l(K, R,- &GA),0.35(K,Gi. - K4Ri), 0.6(&B;. - K,R,)] 0.35(K, G1 - &R,) (1) M[O.l(K, R;. - K2G,), 0.35(&G, - K4R,), 0.6(&B;. - KSR,)] 0.6(&B, - KSR,) M[O.l(K, Rj.-K,G,),0.35(K,Gj.-~Rj.),0.6(K,Bj.-K,Rj.)]. where A, is the predicted hue discrimination value in nanometers at each measured wavelength; M signifies the supremum, that the most sensitive term over a wavelength range will determine the function. A signifies the first derivative with respect to wavelength. K,-& weight the cone response functions. The denominator is the same as equation (2) for modeling spectral sensitivity, except that the same weightings to go from threshold to suprathreshold values are used as in the numerator. Weighting by the denominator replaces the usual conversion to luminosity units because, in this study, the stimuli for hue discrimination were set equal based on the animal’s incrementthreshold spectral sensitivity measured just before each hue discrimination session. A formal derivation of the equations will be found in the Appendix. The addition of the + G - R opponent channel allows hue discrimination to be modeled as the first derivative of the three opponent channels of the Sperling-Harwerth model, with the same constants representing the amount of R,G and B cone responses. Thus, hue discrimination and spectral sensitivity can be modeled using comparable conditions of adaptation or recovery from intense light exposure. In the tests of the model for hue discrimination (equation 1), the values of K,-K, were determined by a leastsquares procedure on the increment-threshold 1 KI Rj.- KZGj. K,G,- K4Rj, SSI= M [ 1 (2) KsB~.-K~R~. where SS represents increment-threshold spectral sensitivity at each measured wavelength; M signifies the supremum, that each term determines sensitivity completely over the spectral region where it is most sensitive. R, G and B represent the cone response functions and K,-K6 weight the cone-response functions for degree of response. Table 1 presents the K values which minimized the least squared deviations between the model of equation (2) and the incrementthreshold spectral sensitivity data. Spectral sensitivity was measured just prior to each hue-discrimination session and these data were used to set the luminosity of the spectral stimuli in the hue discrimination task. Table 1. Coefficients (K) for modeling hue-discrimination (equation 1) and spectral sensitivity (equation 2) Eye Coefficients 4 K, K, Kz Normal pre-exposure post-exposure 36 1.5 51 0 16 3 Blue-blinded pre-exposure post-exposure 14 6 16 2.4 10 4.5 KT 11 5 1.6 1 8 0.5 0.052 0.025 & 3.5 0 2 0 1808 HARRYG. SPERLINGet al. Figure IOA shows the model applied to the increment-threshold spectral sensitivity data obtained on the normal (kft) eye prior to green light exposure (Fig. 2, bold line), using the K values from row 1, Table 1. Figure 10B shows the model applied to the hue-discrimination data of Fig. 1 (bold line) using the same K values. Figure 1lA and B show the model applied to the normal eye following green light exposure. The K values, used in both equations, are those shown in row 2, Table 1. Lilce most models of hue discrimination, the fit is somewhat less good at the extremes of the visible spectrum, but our model clearly accounts for the rise in delta-lambda with green light exposure while holding the 490 and 590 nm minima down, which the models of Fig. 8, and others, were unable to do. Figure 12 shows the modeling of the increment-threshold and hue discrimination performance before green light exposure of the monkey’s blue-blinded (right) eye using the K values shown in Table 1 (row 3). Figure 13 -8 m 5 ii = _g in? -1°40Ao Wavelength (nm) (8) 80, . iz 5 40 $ 20 l-l I (4 Wavelength (nm) Fig. Il. (A) Increment-threshold spectral sensitivity of rhesus normal eye immediitely after the green light aposure series as modeled by equation (2); and (B) hue discrimination data obtained on the same days as modeled by equation (1). both using the same values of K,-&. 0 -:0-o Wavelength (nm) 8or W I 60 - E 40- $ 20 0 400 500 800 I 700 Wavetength (nm) Fig. 10. (A) Increment-thrwhold spectral sensitivity of rhesus normal eye just before the green light e%pcw~re1MitJ as modeled by equation (2); and (e) hue dircriminatiou dptp obtained on the same days as modeled by equation (1). both using the same values of K,-& . ‘lb dashedline ti@iti the intrusion of the luminosity channel. shows the modeling of increment-threshold and hue discrimination performances for the blueblinded eye immediately after the green light exposures using the K values of Table 1 (row 4). The modeling of the blue-blind eye, before and after green-exposure, is very good and holds the predicted values at the 590 nm minimum down well in contrast to the other models with which we have attempted to fit these data. The power of this model is best appreciated by noting that the K values of Table 1 which fit the cone response functions to the incrementthreshold data are not arbitrarily scakd. The increment-threshold units are re@~ocal quanta at threshold and the K values which fit them are carried over, without any adjustments, to model the hue disuimiaation results which show thresholds that vary from 5 to 76nm. Indeed, the fits of the model to the data are strong evidence that the same opponent ctranacls determine both the spectal &&ion and hue discrimination functions, and that the model of wuations (1) and (2) embodies the correct met- 1809 Mense green light exposure -’r (A) 400 Or (4 I I I 500 600 700 Wavelength Wavelength (nm) W (5) 80 1-r 80 0 r 60 E6 (rim) z 5 40 ai I - 40- 2 20 - 20 0 0 400 600 500 Wavelength 700 (nm) Fig. 12. (A) Increment-threshold spectral sensitivity of rhesus blue-blind eye just before the green light exposure series as modeled by equation (2); and (B) hue discrimination data obtained on the same days as modeled by equation (l), both using the same values of RI-&,. The dashed lines represent the intrusion of reds and of the luminosity channel neither of which entered the hue discrimination calculation. ric for relating spectral detection and discrimination. yodeling tritan~pic spectral sensitivity and hue discrimination In a classic experiment on human congenital tritanopia, Wright (1952) measured both spectral sensitivity and hue discrimination. These results have been used previously in the evaluation of color discrimination models and are examined in relation to the model of this article. In modeling Wright’s data, the six K values were determined to best fit his hue discrimination data, rather than deriving them from the fit to spectral sensitivity as was done in modeling our own data. These K values were then entered in equation (2) and compared with the mean results of Wright’s tritanopic spectral-sensitivity measurements. Wright used flicker photometry to obtain his spectral sensitivity values, This technique gives no weight to the response of 0 400 500 600 I 700 Wavelength (nm) Fig. 13. (A) Increment-threshold spectral sensitivity of rhesus blue-blind eye taken on the fourth day of the green light exposure series as modeled by equation (2); and (B) hue discrimination data obtained on the same day as modeled by equation (I), both using the same values of FL,-&. blue receptors, but yields a curve which is well fit by the sum of the red and green channels. We have applied these modifications to our model. The three terms in equation (2) were summed with & (the coefficient for the B-cones) set to zero. The same changes were made in the denominator of equation (1). As shown in Figs 14A and B, the fit is quite good, further demonstrating that the model of equations (1) and (2) is an efficient way to predict both hue discrimination and spectral sensitivity under a variety of conditions. The phy~iologic~ exposures nature of the green light The results presented in this article raise questions about the physiological effects of the green light exposure. It is clear that blue light exposures (Harwerth & Sperling, 197 1, 1975; Wright, Sperling & Mills, 1987) resulted in irreversible damage to the B cones, as attested by the lack of recovery over many years and the histological evidence of degeneration of cones which were distributed across the retina in the 1810 HARRYG. SPERLING et al. Implications and concluding remarks (4 60 60 P 5 40 $ 20 0 L 400 500 Wavelength 400 500 Wavelength 600 700 (nm) 600 700 (nm) Fig. 14. (A) Mean hue diination function from four tritanopes measured by Wright (1952) as modeled by equation (1); (B) mean Bicker photometric spectral sensitivity function of t&mopes from Wright (1952) modeled by summingthe + R - G and + G - R channelsof equation(2) with the same values of K,-K,. same way as the distribution of blue receptors labeled by histochemical means (Spetling et al., 19gO). There are several reasons that green-light exposures are of a different nature. First, they appear to be entirely reversible. Second, the effects of green-light exposures seem to be as great to the R cones as to the G cones (see Table 1 and Figs lO-13), unlike the blue light experiments which affected only the B cones. Third, the post-exposure green light data could not be modeled without eliminating or greatly reducing the inhibitory -R and -G terms of both threshold and hue discririaination equations while the + R and +G t@ms, although reduced, rentained appracipby large. Since inhibition ocours at higher-order sUges of visual proce&n& these facts point to the green-light exposures primarily aECCt& postreceptoral processes, and not the receptors themselves. Several implications can be drawn from the results and the model presented in this article. First, the simple upper-envelope model that fits increment-threshold spectral sensitivity (equation 2) also fits hue discrimination (equation 1). That is, the opponent channel that is most sensitive over a region of the visible spectrum determines the hue discrimination function over that region. Second, the model fits hue discrimination functions obtained over a variety of conditions for both of the monkey’s eyes, before and after the green light exposure series, without changing the channel weights. This single set of channel weights successfully relates constants determined from spectral sensitivity to hue discrimination data over a widely changing set of sensitivities, without need for additional parameters. It follows that the same opponent mechanisms serve both detection and discrimination. Third, these processes are adequately modeled by linear subtractive interaction between cone response functions. The cone response functions that we have used are those of Smith and Pokorny (1975). but they do not differ appreciably from the more directly measured data of Baylor, Nunn and Schnapf (1987) when pre-retinal absorptions are taken into account. Fourth, the fact that the same changes in the K values predict the effects of green light exposure on both detection and hue discrimination is further evidence that the same mechanisms are involved in both functions and also that the first-derivative or rate of change of the paired linear opponent mechanisms of equation (2) is an appropriate for predicting hue discrimination metric (equation 1). Although it may be argued that six parameters to fit 22 data points is not very powerful modeling, we consider it very powerful that under four widely differing conditions the same values of the six parameters predict both detertion and discrimination. Acknowledgemetits-This rcs~arch was supported in Pati by the National Eye Institute, grant EYa23gg. National &i~nce Foundation grant BPlS 8414977, and U.S. Am~y Surgeon CjeneralContract DAMDl7-C3003. WCp@fUllY acknowledge the~aretul arsirtana of DAd Gnmtt and James Mathcny during portions of this n%ear&. REFERENCES A&m, M. (1981). 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APPENDIX Both spectral sensitivity and hue discrimination are assumed to arise from activities in three channels that are transforms of cone responses as follows: (Al) of Physiology, London, 251, 167-196. Piantanida, T. P. & Sperling, H. G. (1973a). Isolation of a third chromatic mechanism in the protanomalous observer. Vision Research, 13, 2033-2047. fiuntankia, T. P. & Sperling, H. G. (1973b). Isolation of a third chromatic mechanism in the dueuteranomalous observer. Vision Research, 13, 2049-2058. Pitt, F. H. G. (1935). Characteristics of dicromatic vision. Medical Reseach Council, Report of Committee on Physiology of Vision @. 14). London: HMSO. Pitt, F. H. G. (1944). The nature of normal trichromatic and dichromatic vision. Proceedings of the Royal Society, London, B, 132, 104. where Ri, G, and Bi are the cone response functions. The KS are determined by least squares fit to the increment threshold spectral sensitivity function as follows: WI 1812 HARRYG. SPEJWNGet al. Hue dc3dmimtion ’ involves the same three channels, reweighed because they am suprathreahold with rape to threshold m sensitivity and because of procedural diiereMea, -so: (‘46) when 6 ~~;=lrg;+,,-~g;l 8r; for cue larger and by; The equal brightness constraint of the hue discrimination paradigm necessitates a weighting by the br$&neas tcfnl: (A4) This is exactly analogous to SS;, but with the weights of equation (A3). The channel activities ,after bri#ttncas Arg; = 1rg; - rg;_,,1 for cue smaller. So hue discrimination above matsure as: is inwxsely proportional M = l.3/AHuei to the 647) Combining the above and entering the weightiltgs: O.l(K,R, - K,G,) “max[O.l(K,Ri-KzGi),0.35(K3GA-K&),0.6(K,Ri-K&)] AA = 1.3/max A 0.35(K,G, - K,RJ max [O.l(K, RA- K,G,), 0.35(K,G, - K,Ri).0.6&Bi - &RJ O.B(K,B; - K,Ri) A _ max[0.l(K,R~-K,G~),0.3S(K,G,-K,R1),0.6(K,B~-&R~)] adjustment are then: - bd Discrimination of hue is proportional activity in these three channels: Lbv:j to rate of change of which is the working cqtion whii the hue diskmination calculated. @qualiOn t) of the text, with pmdktions of Figs 8-M were
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