Effect of field size on red--green color mixture equations

Clinical analysis of the Konan-Waggoner D15 color vision test using the Surface-Pro display

This work expands on our previous comparison of the Konan-Waggoner D15 (KW-D15) and Farnsworth D15 (F-D15). Sixty subjects with normal color vision and 68 subjects with a red-green color vision defect participated in the study. The KW-D15 had good agreement with the F-D15 for both pass/fail and classification across all failure criteria. The agreement was slightly better if subjects had to pass on 2/3 trials compared with just the first trial. The KW-D15 is an adequate substitute for the F-D15, with the caveat that the KW-D15 might be slightly easier to pass than the F-D15 for deutans.

Individual Colorimetric Observer Model

This study proposes a vision model for individual colorimetric observers. The proposed model can be beneficial in many color-critical applications such as color grading and soft proofing to assess ranges of color matches instead of a single average match. We extended the CIE 2006 physiological observer by adding eight additional physiological parameters to model individual color-normal observers. These eight parameters control lens pigment density, macular pigment density, optical densities of L-, M-, and S-cone photopigments, and λmax shifts of L-, M-, and S-cone photopigments. By identifying the variability of each physiological parameter, the model can simulate color matching functions among color-normal populations using Monte Carlo simulation. The variabilities of the eight parameters were identified through two steps. In the first step, extensive reviews of past studies were performed for each of the eight physiological parameters. In the second step, the obtained variabilities were scaled to fit a color matching dataset. The model was validated using three different datasets: traditional color matching, applied color matching, and Rayleigh matches.

Spatial properties of fundus reflectance and red-green relative spectral sensitivity

We investigated the spatial characteristics of the diffuse light in the eye at two different wavelengths and the extent to which this may affect red-green relative spectral sensitivity. The fundus reflectance of six subjects was measured for different field sizes ranging from a 0.18° to 7.28° radius and for two different wavelengths, 560 and 650 nm. The experimental setup consisted of having an instrument project uniform disks on the fundus and recording their retinal images after a double pass through the eye. Additionally, the relative spectral sensitivity for the same wavelengths was measured using heterochromatic flicker photometry for a stimulus of a 0.4° radius with and without the presence of a synchronously flickering concentric annulus. We concluded that although light backscattered from the fundus contributes to vision, the effect is not strong and can only be observed under appropriate laboratory conditions. This suggests that diffuse light from deeper fundus layers is unlikely to have a practical relevance to vision.

Photopigment self-screening and the determination of macular pigment absorbance using heterochromatic flicker photometry

PURPOSE

Heterochromatic flicker photometry (HFP) is commonly used to determine macular pigment optical density (MPOD). Since HFP in this application is a locus comparison method, an identical relative spectral response at each locus is required for a perfect measure. We know this requirement cannot be strictly true since the optical density of photopigments increases as the foveal center is approached. Thus, the self-screening effect would result in an underestimate of MPOD. An earlier study concluded that the underestimate is on the order of 30%. We examined this issue by manipulating photopigment optical density, and consequently the degree of selfscreening.

METHODS

A continuously exposed, 470 nm, background bleached cone photopigments over a range from 0 to 80%. MPOD was determined 10' and 30' from the foveal center. Two subjects were used in the main experiment. Five additional subjects were studied with just the 0% and 80% bleach levels. Spectral measures were obtained at 0% and 70% bleach levels for the two primary subjects.

RESULTS

Subjects in the main experiment showed MPOD estimates that increased with increasing bleaching. The effect, however, was small: one observer's MPOD increased 0.08 and 0.02 for the 10' and 30' loci, respectively; the other observer's values were 0.04 and 0.01 for the same loci. Comparable values were obtained for the other five subjects using the 0% and 80% bleach conditions. Spectral measures were consistent with the findings of the main experiment.

CONCLUSIONS

When self-screening is nearly abolished (80% bleach), a relatively small underestimation is revealed for the unbleached state. For the 1° target we show about 2-3% underestimation. Our 20' target reveals a larger underestimate (8-9%), consistent with longer photoreceptor outer-segments nearer the foveal center. We conclude that HFP yields values essentially independent of self-screening for targets of 1° diameter or greater. Smaller targets are less than 10% underestimated for near-zero bleach conditions.

Real-world stimuli show perceived hue shifts in the peripheral visual field

Certain hues undergo shifts in their appearance when they are viewed by the peripheral retina. This has often been shown on a 3-primary color CRT monitor. To investigate the possible role of metamerism, we replicated our peripheral color matching experiments using Munsell paper stimuli viewed under real and simulated daylight (using a 3-primary projection system). Using stimuli of constant value and chroma (7/4), observers adjusted the hue of a 3 deg target presented 18 deg nasally, until it matched a 1 deg target presented 1 deg nasally. The magnitude and pattern of measured hue shifts were similar to those measured using CRT stimuli. We conclude that the perceived hue shifts that have previously been reported in the peripheral retina are independent of the nature of the stimulus and of the illuminant.

Quantal and non-quantal color matches: failure of Grassmann's laws at short wavelengths

Previous studies of color matching found that Grassmann's laws are not obeyed in the short-wavelength region when the method of maximum saturation matching is compared with Maxwell matching. The first experiment evaluated whether the discrepancy might be due to a discrimination matching range asymmetry around either the saturated or desaturated matches and concluded that asymmetry is not the dominant factor. The second and third experiments were designed to evaluate postreceptoral mechanisms. The results pointed to the conjunction of three factors as being the principal cause of the failures of Grassmann's laws: the spatial inhomogeneity of the macular pigment distribution, the spatially dissimilar L/M-and S-cone distributions, and a change in the weightings of postreceptoral mechanisms mediating S-cone chromatic and L/M-cone luminance discriminations.

Isolated mesopic rod and cone electroretinograms realized with a four-primary method

The purpose of this study was to evaluate the feasibility of measuring rod and cone electroretinograms (ERGs) at a single mesopic adaptation level. To accomplish this, a four-primary photostimulator was implemented using a commercially available ERG system (Diagnosys ColorDome) to generate three types of stimuli that temporally modulated rods alone, cones alone, and rods and cones simultaneously. For each stimulus type, ERGs were recorded as a function of temporal frequency (2, 4, 8, or 16 Hz) and mesopic light levels (0.02, 0.16, or 1.26 cd/m(2)) in normal observers and patients with retinitis pigmentosa (RP) or cone-rod degeneration. The normal observers ERG waveforms showed a clear periodic pattern, mirroring the sinusoidal stimuli. At all light levels, rod responses were always higher than cone responses for temporal frequencies between 2 and 8 Hz, suggesting that rods dominated the responses. Cone responses were minimal at the lowest light level and increased with increases in light level. The amplitude of the response to the combined stimuli was intermediate between that of the isolated cone and the isolated rod stimuli for all light levels. Good receptoral isolation was confirmed by the results showing (1) minimal or no rod ERGs but recordable cone ERGs in the patients and (2) high correlation between the ERG amplitudes obtained from the four-primary method and those from the ISCEV standard clinical protocol in normal observers.

Colour appearance and compensation in the near periphery

The spectral sensitivity of the visual system varies markedly between the fovea and surrounding periphery owing in part to the rapid fall in macular pigment density with eccentricity. We examined how colour appearance changes between the fovea and near periphery (8°) by measuring achromatic loci and the loci of unique and binary hues. Chosen colours remained much more similar at the two locations than predicted by the change in spectral sensitivity. Compensation for white may reflect long-term gain changes within the cones that equate sensitivity for the local average stimulus in the fovea and periphery. However, adjusting only to the average stimulus cannot correct for all of the effects of a spectral sensitivity change, and predicts differences in colour percepts between the fovea and periphery that were not observed. The similarities in hue percepts at 0 and 8° thus suggest that additional processes help compensate colour appearance to maintain constancy in the near periphery. We model the results of previous studies to show that similar adjustments are implied by age-related changes in lens pigment, and to show that these adjustments are consistent with previous measurements of peripheral colour appearance based on hue cancellation.

Spatial distribution of macular birefringence associated with the Henle fibers

The spatial distribution of macular birefringence was modeled to examine the contribution from the foveal Henle fiber layer, particularly cone axons. The model was tested in 20 normal subjects, age 17-55yr. Phase retardance due to Henle fibers was modeled for rings increasing in radius around the fovea, using a sinewave of two periods (2f). The 2f sinewave amplitude increased linearly with eccentricity for each individual, (p<0.004) in 19 of 20 subjects. A good fit to linearity implies regular cone distribution and radial symmetry, and the uniformly excellent fits indicate no effect of age in our sample. The peak of the 2f sinewave amplitude varied across subjects from 1.06 to 2.46deg. An increasingly eccentric peak with increasing age would indicate a relative decrease of cone axons in the central fovea, but the location of the peak was not associated with age for our sample, which did not include elderly subjects.

Cone contributions to signals for accommodation and the relationship to refractive error

The accommodation response is sensitive to the chromatic properties of the stimulus, a sensitivity presumed to be related to making use of the longitudinal chromatic aberration of the eye to decode the sign of the defocus. Thus, the relative sensitivity to the long- (L) and middle-wavelength (M) cones may influence accommodation and may also be related to an individual's refractive error. Accommodation was measured continuously while subjects viewed a sine wave grating (2.2c/d) that had different cone contrast ratios. Seven conditions tested loci that form a circle with equal vector length (0.27) at 0, 22.5, 45, 67.5, 90, 120, 145 deg. An eighth condition produced an empty field stimulus (CIE (x,y) co-ordinates (0.4554, 0.3835)). Each of the gratings moved at 0.2 Hz sinusoidally between 1.00 D and 3.00 D for 40s, while the effects of longitudinal chromatic aberration were neutralized with an achromatizing lens. Both the mean level of accommodation and the gain of the accommodative response, to sinusoidal movements of the stimulus, depended on the relative L and M cone sensitivity: Individuals more sensitive to L-cone stimulation showed a higher level of accommodation (p=0.01; F=12.05; ANOVA) and dynamic gain was higher for gratings with relatively more L-cone contrast. Refractive error showed a similar correlation: More myopic individuals showed a higher mean level of accommodation (p<0.01; F=11.42; ANOVA) and showed higher gain for gratings with relatively more L-cone than M-cone contrast (p=0.01; F=10.83 ANOVA). If luminance contrast is maximized by accommodation, long wavelengths will be imaged behind the photoreceptors. Individuals in whom luminance is dominated by L-cones may maximize luminance contrast both by accommodating more, as shown here, and by increased ocular elongation, resulting in myopia, possibly explaining the correlations reported here among relative L/M-cone sensitivity, refractive error and accommodation.

Modelling the Rayleigh match

We use the photopigment template of Baylor et al. (1987) to define the set of Rayleigh matches that would be satisfied by a photopigment having a given wavelength of peak sensitivity (λmax) and a given optical density (OD). For an observer with two photopigments in the region of the Rayleigh primaries, the observer's unique match is defined by the intersection of the sets of matches that satisfy the individual pigments. The use of a template allows us to illustrate the general behavior of Rayleigh matches as the absorption spectra of the underlying spectra are altered. In a plot of the Y setting against the red–green ratio (R), both an increase in λmax and an increase in optical density lead to an anticlockwise rotation of the locus of the matches satisfied by a given pigment. Since both these factors affect the match, it is not possible to reverse the analysis and define uniquely the photopigments corresponding to a specific Rayleigh match. However, a way to constrain the set of candidate photopigments would be to determine the trajectory of the change of match as the effective optical density is altered (by, say, bleaching or field size).

Catarrhine photopigments are optimized for detecting targets against a foliage background

The colour vision of many primates is trichromatic, whereas that of all other mammals is thought to be dichromatic or monochromatic. Moreover, the triplets of cone pigments in different catarrhines (Old World apes and monkeys) are strikingly similar in their spectral positions. We ask whether the selective advantage of trichromacy lies in an enhanced ability to find edible leaves or fruit. Further, we ask whether any factor in these two search tasks has constrained the particular set of cone spectral sensitivities observed in all catarrhines. We measured the spectral properties of the natural environments of six primate species in Uganda: Pan troglodytes, Cercopithecus mitis, Cercopithecus ascanius, Lophocebus albigena, Colobus guereza and Colobus badius. We concentrated on the fruit and leaves in their diets and the leaves of the trees that make up the background against which these diet items must be found. We plotted these measured stimuli in colour spaces appropriate for each primate species, and found that both frugivory and folivory are facilitated by the extra dimension of colour vision found in catarrhines but lacking in most other mammals. Furthermore, by treating the task of searching for food as a signal-detection task, we show that, of all possible combinations of cone sensitivities, the spectral positions of the actual primate pigments are optimal for finding fruit or young leaves against the background of mature leaves. This is because the variance of the chromaticities of the mature leaves is minimised in one channel of the primate's colour vision, so allowing anything that is not a mature leaf to stand out.

Comparison of cone directionality determined by psychophysical and reflectometric techniques

We measured the directionality of the cones with both a psychophysical (Stiles-Crawford I) technique and an optical technique. The two sets of measurements were made in the same subjects, with stimuli as similar as possible used. The two types of measurements gave similar estimates of the location in the pupil toward which the cones were optimally aligned. However, the two measurements gave quite dissimilar estimates of the width of the directional sensitivity. On average, optical measurements were half as broad as psychophysical measurements in the fovea, but there were substantial individual differences. At 2-deg retinal eccentricity the difference between techniques was even more marked.

Effect of the S-cone mosaic and rods on red/green equilibria

The loci of unique blue and unique yellow were measured with and without a rod bleach for various test sizes in the fovea and at 1 and 8 deg nasal and superior retinal eccentricities. Test sizes and retinal positions were selected to systematically manipulate the absolute and relative numbers of S cones underlying the test stimuli. The results revealed the following: (1) The locus of unique blue shifted to longer wavelengths as the absolute number of S cones underlying the test stimulus increased, suggesting that the S-cone neural weighting factor of the red/green (R/G) opponent model is linked to the absolute number of S cones. (2) In general, the locus of unique yellow remained invariant, although changes were observed in the superior retina. This finding indicates that either the L-to-M-cone ratio may not be invariant across all retinal quadrants or that this ratio may not determine the locus of unique yellow. (3) Rod signals affected the locus of the unique hues, especially at small test sizes, demonstrating an influence of rods on the R/G opponent mechanism.

Variations in photoreceptor directionally across the central retina

Cones show a differential sensitivity to light coming from different portions of the pupil, typically being most sensitive to light from the center of the pupil. We measured the directional properties of the cones across the central 6 deg of the retina, using an optical imaging technique. We find that the cones in the center of the fovea have the broadest tuning. The width of the angular tuning changes rapidly from 0 deg to 1 deg retinal eccentricity, with cones at 1 deg being much more narrowly tuned that the cones in the center of the fovea. Directional tuning of the cones remains relatively constant from 1 deg to 3 deg retinal eccentricity. Receptoral disarray contributes minimally to the measured directional properties of the foveal cones, and there is no evidence of asymmetry between horizontal and vertical retinal locations. There are only small differences among the five subjects in the change in angular tuning of the cones with retinal location. We find that at the foveal center the directional tuning of the cones is limited by the diameter of the cone apertures.

Fourier models and the loci of adaptation

First measures of sensitivity and the need for a model to interpret them are addressed. Then modeling in the Fourier domain is promoted by a demonstration of how much an approach explains spatial sensitization and its dependence on luminance. Then the retinal illuminance and receptor absorptions produced by various stimuli are derived to foster interpretation of the neural mechanisms underlying various psychophysical phenomena. Finally, the sequence and the anatomical loci of the processes controlling visual sensitivity are addressed. It is concluded that multiplicative adaptation often has effects identical to response compression followed by subtractive adaptation and that, perhaps as a consequence, there is no evidence of retinal gain changes in human cone vision until light levels are well above those available in natural scenes and in most contemporary psychophysical experiments; that contrast gain control fine tunes sensitivity to patterns at all luminances; and that response compression, modulated by subtractive adaptation, predominates in the control of sensitivity in human cone vision.

Rayleigh match ranges of red/green color-deficient observers: psychophysical and molecular studies

Large-field Rayleigh match ranges were measured in 27 red/green color-deficient male observers, using bright, temporally alternating, 3-9 deg annular test fields. The observers' X-linked opsin gene arrays were characterized by molecular genetic techniques, and used to infer the absorption maxima of each observer's L and/or M cone photopigment(s). Measured match ranges decreased rapidly as the inferred separation in pigment absorption maxima increased from 0 to 2-3 nm, and varied irregularly thereafter. Following He & Shevell [(1995) Vision Research, 35, 2579-2588] predicted match ranges were calculated for various pigment separations and assumed values of pigment optical density. The predicted variations in match range encompassed the measured match ranges of most (but not all) of the color-deficient observers. The calculations also showed that differences in pigment optical density, in two cone types containing the same pigment, are sufficient to allow a moderate degree of chromatic discrimination. Such models thus provide a possible account of the fact that some color-deficient observers, with only a single X-linked opsin gene, can make red/green chromatic discriminations.

The visual photopigments of simple deuteranomalous trichromats inferred from color matching

Deuteranomalous trichromacy is the most common form of inherited color-vision deficiency. A modern description of its cause is a single abnormality: the normal middle-wave cone photopigment (M) is replaced by a shifted middle-wave pigment (M) that is shared by all deuteranomalous trichromats. This explanation, however, fails to account for the individual differences in color vision observed even within the sub-group of deuteranomals with good chromatic discrimination. An ensemble of color matches is used here to test whether these individual differences reflect differences in the wavelength of peak sensitivity (lambda max) of individual deuteranomals' cone photopigments. The results show variation in both the lambda max and the effective optical density of their cone pigments. The individual differences found in lambda max are in accord with recent molecular biological research that shows individual differences in the genes thought to encode deuteranomalous photopigments.

The pathways of light measured in fundus reflectometry

We measured the spectral reflectance of the fovea of ten normal subjects in four conditions, i.e. under dark-adapted and bleached conditions and at two retinal angles of incidence. The objective was to study optical pathways through the photoreceptor layer, resulting in a model that simultaneously explains spectral, directional and bleaching properties of the fovea. On theoretical grounds, we propose that small reflections from the stack of discs in the cone outer segments are the origin of the directional component of foveal reflection. Non-directional reflection occurs at the inner limiting membrane and at all layers posterior to the outer segments. With four reflectance spectra as input, the model allows determination of the density of the photostable absorbers, the lens, macular pigment, melanin and blood. Because of the simplified modeling of the layers posterior to the photoreceptor layer, the values for the density of melanin and blood are not necessarily comparable to physiological data. The density of the visual pigment calculated with this model is consistent with psychophysical data, with estimates for the ten subjects ranging from 0.41 to 0.80. The long wavelength sensitive cone fraction is calculated as 0.56.

Age-related changes in the color-match-area effect

Color matches were measured as a function of field diameter (1, 2, 4 and 8 deg) for 53 normal observers aged 13-80 yr. The difference between match midpoints for the 1 deg diameter and the other diameters decreased throughout adulthood, indicating an age-related change in optical density of cone outer segments in the central 1 deg. For all ages, there were large interobserver differences in the magnitude of the difference scores. These results provide an explanation for contradictions in the literature on the effects of age on cone optical density and on the magnitude of the color-match-area effect.

Variation in color matching and discrimination among deuteranomalous trichromats: theoretical implications of small differences in photopigments

Individual differences in abnormal color vision are well known. A fundamental unresolved problem is the great variation in color vision even among those classified as having the same color-vision defect. Several physiological hypotheses have been proposed to account for this variation but little consideration has been given to how (and how much) color matching and discrimination are affected by the posited physiological mechanisms. Advances in molecular genetics have renewed interest in this problem, which is at the foundation of the relation between genotype and phenotype. We report here theoretical Rayleigh ranges (chromatic discrimination) and quantal matches for deuteranomalous trichromats with photopigments in the red/green range that vary in their separation and optical density. The results show there is relatively little loss of discrimination with pigments of normal optical density separated by as little as 2-3 nm. With pigments separated by 4 nm or less, however, optical density can strongly influence discrimination when varied independently in the two types of cone. Moderately lower (or higher) optical density in only one cone-type affects discrimination by altering the shape of the cone's relative spectral sensitivity function. The lack of correlation between Rayleigh-match midpoint and range, which is reported in the literature, may be accounted for by independent variation in pigment separation and optical density.

Chromatic-discrimination axes, CRT phosphor spectra, and individual variation in color vision

There is a growing use of color monitor systems in visual research and a parallel growth in the use of cone-excitation space to define stimuli and to report data. Color specification in monitor systems is accomplished by combination of the phosphor chromaticities. The effect of interobserver variation on color specification is highly dependent on the spectroradiometric properties of the primaries. We review potential sources of biologic variability and its effect on the nominal axes in a cone-excitation diagram for a color monitor system. Variation in preretinal pigment (lens and macular pigment), in the effective optical density and the spectral sensitivity of the visual photopigments, and in the cone weighting used to derive the spectral luminosity function are considered. The consequences of such biological variability are rotation and translation of the axes for a given observer relative to the nominal axes that the observer used for color specification. The importance of such rotations can be viewed within the framework of a particular experimental paradigm.

The foveal color-match-area effect

Rayleigh matches for foveal, temporally alternating fields showed only a small increase in the log green/red matching ratio (0.03--average of 10 observers) as the field was decreased from 116 to 19 min arc. This is consistent with only a small, 10%, change in photopigment density or lengthening of the cone outer segments in the central fovea. The change in matches with field size is considerably less than reported in several previous studies.

Individual differences in cone photopigments of normal trichromats measured by dual Rayleigh-type color matches

Individual differences in color matches of normal trichromats are well documented. Recently, variants of the classical Rayleigh match have been measured to explore the cause(s) of these individual differences. Interobserver differences in the wavelength of peak sensitivity of photopigment (lambda max) are of primary interest because they are attributed to an X-chromosome-linked polymorphism. Color-matching equations, however, show the Rayleigh match cannot distinguish between interobserver differences in lambda max and interobserver differences in the optical density of photopigment. Further analysis of color-matching equations reveals that the ratio of two particular Rayleigh-type matches amplifies the effect of individual differences in the lambda max of L cones relative to the effects of optical density and pre-receptoral spectrally selective filtering. The ratio of these two color matches was measured for 17 color-normal males. The range of the results for the 17 observers is too large to be explained by only individual differences in photopigment optical density and pre-receptoral filtering. This implies there are interobserver differences in lambda max. The results are accounted for quantitatively by a small difference (3-5 nm) in the lambda max of the L-cone photopigment. The ratio of two Rayleigh-type matches is a rapid and convenient measurement for assessing the L-cone lambda max in the eye of an individual observer and therefore may be useful for classifying normal trichomats into phenotypic sub-types.

Serine/alanine amino acid polymorphism of the L and M cone pigments: effects on Rayleigh matches among deuteranopes, protanopes and color normal observers

In a first experiment, groups of deuteranopes and protanopes were characterized psychophysically by the slopes of regression lines fitted to yellow intensity settings from their Rayleigh matches. In a second experiment, color normal male subjects were characterized by their 2 and 8 deg Rayleigh match points. All subjects had been previously characterized genetically by the presence of the amino acid serine or alanine at position 180 on their L cone or L/M hybrid opsins. Dichromats and color normal subjects with serine had greater sensitivity to the red primary than did those with alanine. Calculations based on psychophysical results suggest that the substitution of serine by alanine in the L cone opsin or L/M hybrid opsin produces a shift in lambda max of the expressed pigment toward shorter wavelengths by an amount varying between 2.6 and 4.3 nm, with the shifts in lambda max for the dichromats being larger than those for the color normal subjects.

Human cone receptor activity: the leading edge of the a-wave and models of receptor activity

The leading edge of the a-wave of the electroretinogram (ERG) was evaluated as a measure of human cone photoreceptor activity. The amplitude of the cone a-wave elicited by flashes of different energy was compared to the predictions of a class of models from in vitro studies of cone photoreceptors. These models successfully describe the leading edge of the a-wave. Thus, the human cone a-wave can be used to test hypotheses about normal and abnormal cone receptors. The ability of the human cone to adjust its sensitivity in the presence of steady adapting lights was assessed by recording cone a-waves to flashes on adapting fields up to 3.9 log td in intensity and by comparing these responses to quantitative models of adaptation. The first 10 ms of the cone's response is little affected by field intensities up to 2.9 log td. The 3.9 log td field reduced the response to weak flashes by about a factor of 2.5 (0.4 log unit). This relatively small reduction in sensitivity can be attributed to a combination of response compression, pigment bleaching, and an adaptation mechanism that changes the gain without changing the time course. We conclude that either the human cones show relatively little adaptation or that they have an adaptation mechanism that involves a time-course change. That is, as we are limited with the a-wave to the first 10 ms or so of the cone's response, we cannot rule out a gain mechanism linked to a time-course change.

Color matching at high illuminances: photopigment optical density and pupil entry

Changes in the effective optical density of the cones are sufficient to explain changes in color matches with retinal illuminance and pupil entry. We performed three experiments. In the first experiment, six observers made color matches under both bleached and unbleached conditions to a series of six standard wavelengths. The effects of bleaching could be modeled by a decrease in optical density of the L and M cone photopigments. Slight spectral shifts in the peak wavelengths of the photopigments were required for different observers. In the second experiment we varied retinal illuminance of the color-matching field from 2.4 to 5.4 log Td for a series of long-wavelength primaries. The shape of the color match versus the intensity function was unchanged by the wavelength composition of the matching field. In the third experiment we measured the change in color match with retinal illuminance for different pupil entry positions. At low luminances there was a marked dependence of the color match on pupil entry positions. At high illuminance there was only a small dependence. The half-bleach illuminance values varied as expected from the Stiles-Crawford I effect. We conclude that for wavelengths > 540 nm, changes in color matches with bleaching and pupil entry can be explained by changes in the effective optical density of the cones.

Mapping cone photopigment optical density

The distribution of cone photopigment across the retina affects the amount of light captured by cones at each retinal location. Cone photopigment optical density is measured in two ways, with reflectometry and/or with color matching. Color matching measures a higher optical density than does reflectometry. Control experiments confirm that large-field color matches measure photopigment optical density toward their outer edge. There is qualitative agreement as to photopigment distribution from both techniques near the fovea. Beyond 1 deg, color matching indicates little decrease in photopigment with increasing eccentricity, whereas retinal densitometry shows a steep decline in photopigment. The decrease in perifoveal optical density measured with reflectometry is attributed to the decrease in cone coverage from fovea to perifovea as rods and interphotoreceptor spaces increase. Differences among subjects in photopigment distribution near the fovea, measured with both techniques, reflect differences in the specialization of the foveal center for cone length and/or photopigment concentration per cone, which are factors influencing results from both techniques.

Genetic studies of variation in Rayleigh and photometric matches in normal trichromats

The inheritance of Rayleigh match midpoints and photometric matches (551-667 nm) was studied in observers with normal color vision. An analysis was performed to evaluate whether the measured interobserver variations in these two traits were consistent with single gene allelic variation, polygenic variation, or environmental factors. A bipartite 2 deg field and a computerized tracking method were used to obtain Rayleigh matches; a new photometric technique, termed heterochromatic modulation photometry (HMP), was used to obtain photometric matches. Data were collected from 72 nonrelated males to determine distribution characteristics for the normal population. The distributions were analyzed for evidence of multimodality and the results indicated that the distributions for Rayleigh match midpoints and HMP matches obtained in this study were unimodal and symmetrical. Data from 52 observers from 5 families were used to study the transmission of the two traits in pedigrees. Statistical analysis of the pedigree data suggested that the major source of variations for Rayleigh match midpoints and for HMP matches were each due to allelic variation at single gene loci; that is, each may be determined by a single gene. Results were inconclusive as to whether variation in the two traits could be determined by the same gene.

Development of spatiotemporal mechanisms in infant vision

In adult spatiotemporal vision information is processed in parallel by a number of mechanisms tuned for orientation and spatial frequency. An examination of infant neuroanatomical data suggests that three major factors are involved in the development of these mechanisms: (1) Growth of foveal cone outer segments causes an increase in mechanism sensitivity. (2) Migration of foveal cones produces a change in spatial scale and a progressive shift of mechanism tuning towards higher spatial frequencies. (3) Development of cortical inhibition transforms low-pass into bandpass spatial frequency and orientation tuning. These changes are developed into a quantitative model which is shown to provide a coherent interpretation of many of the psychophysical data on infant vision.

Foveal cone optical density in retinitis pigmentosa

We have used a color matching technique to estimate the optical density of the foveal cone photopigments in a group of patients with retinitis pigmentosa. We find that foveal cone optical density is reduced in patients with retinitis pigmentosa. This reduction of density can occur early in the disease process and is found in patients with minimal visual field loss or 20/20 visual acuity. Foveal cone optical density is highly correlated with visual acuity and correlated with visual field area. Full-field ERG measurements are severely reduced early in the disease before significant foveal changes occur.

Aging and human macular pigment density. Appended with translations from the work of Max Schultze and Ewald Hering

The optical density of human macular pigment was measured for 50 observers ranging in age from 10 to 90 years. The psychophysical method required adjusting the radiance of a 1 degree, monochromatic light (400-550 nm) to minimize flicker (15 Hz) when presented in counterphase with a 460 nm standard. This test stimulus was presented superimposed on a broad-band, short-wave background. Macular pigment density was determined by comparing sensitivity under these conditions for the fovea, where macular pigment is maximal, and 5 degrees temporally. This difference spectrum, measured for 12 observers, matched Wyszecki and Stiles's standard density spectrum for macular pigment. To study variation in macular pigment density for a larger group of observers, measurements were made at only selected spectral points (460, 500 and 550 nm). The mean optical density at 460 nm for the complete sample of 50 subjects was 0.39. Substantial individual differences in density were found (ca. 0.10-0.80), but this variation was not systematically related to age.

Adaptation and color matching

Crawford's (1965) experiment [Vision Res. 5, 71-78], implies that there is a failure of linearity when maximum saturation color matches are compared to Maxwell matches. This implication was tested by making the same maximum saturation matches with and without the superposition of a monochromatic desaturating light. A nonlinearity in color matching for short wavelengths was measured without the possible computational or pre-receptoral artifacts in Crawford's design. The data presented are consistent with the hypothesis that this nonlinearity is due to post-receptoral interactions and not to a failure of spectral invariance or to the participation in the match of more than three types of photopigments.

Cone mechanisms underlying the color discrimination of deutan color deficients

An alternation method of color matching was used to obtain a series of extended Rayleigh matches from several deutan color deficients with varying degrees of color discrimination. With large stimulus fields there were differences in the matches made by observers with good color discrimination and the matches made by observers with poor color discrimination. The matches made by observers with poor discrimination could not be modeled with normal cone action spectra. When the field size was reduced the matches of all observers were quite similar and could be modeled with two cone action spectra that were normal in shape and separated by approximately 5 nm. Results suggest that individual differences in ability to discriminate color among deutan observers are not solely related to differences in the cone action spectra.

Second-site adaptation in the red-green chromatic pathways

On different chromatic adapting fields, thresholds were measured with a 1.2 deg flash consisting of simultaneous incremental and decremental red and green components that stimulate the M and L cones in any desired ratio. Thresholds were plotted in normalized coordinates in which the quantal change in the M and L cones due to the flash was divided by the quantal catch due to the field. Detection contours for a wide range of test flashes provide evidence for luminance and chromatic mechanisms that respectively respond to the sum and difference of the M and L cone signals. Field color has little influence on the luminance mechanism but strongly affects chromatic detection, with sensitivity being maximal on yellow fields and declining slightly on green fields and declining strongly on red fields. Similar effects were obtained for long (200 msec) and very brief flashes, although the shape of the contours differed considerably. The results provide evidence for a second adaptation site within the red-green chromatic pathways, similar to the second-site in the S cone pathways. Chromatic fields (green and red) polarize the site and reduce sensitivity to chromatic flashes.

Spatial properties of red-green and yellow-blue perceptual opponent-color response

Opponent color responses for an equal illuminance spectrum were measured for field size from 10' to 2 degrees, by means of a hue cancellation procedure. Results showed that when the field diameter was increased, the red and yellow response relatively increased and the green and blue response relatively decreased. There existed a different spatial property between the red-green and yellow-blue opponent-color response function. The results were compared with the optical density hypothesis of the cone visual pigments and with the neurophysiologically obtained receptive field properties of opponent-color cells.

Determination of human cone pigment density difference spectra in spatially resolved regions of the fovea

A new method was developed to measure spectrally and spatially resolved cone pigment optical density difference in normal human subjects. Using digitized television images of human retinas scanned before and after bleaching the cone pigments with a bright light, unique high-resolution images of cone pigment density difference were produced. The spectral peak density difference within the fovea was found to be at 560 nm. These measurements demonstrate a decrease in cone pigment optical density difference with increased distance from the subject's central fixation point in the fovea. The cone pigment density difference was asymmetrically distributed in the fovea with higher amounts on the nasal side.

Effects of viewing distance and visual angle on metameric matches

A metameric matching task was used to study the effect of viewing distance and visual angle on the appearance of bichromatic stimuli. Increasing the viewing distance resulted in a shift towards the longer wavelength component. Effects of visual angle were also found.

Color matching in autosomal dominant tritan defect

We evaluated color matching in 39 observers with an autosomal dominant tritan defect. Eleven tritans were dichromats with 1 degrees field, and only two were dichromats with an 8 degrees field. Twenty-one of the tritan observers ahd normal blue-green equations with an 8 degrees field, indicating that autosomal dominant tritans have short-wavelength-sensitive cones. Some of the tritan observers showed a shifted blue-green equation, which was ascribed to rod activity.

Visual function abnormalities in macular heterotopia caused by proliferative diabetic retinopathy

In seven patients with displacement of the macula in one eye caused by vitreoretinal traction from proliferative diabetic retinopathy, the macula was displaced toward the optic disk in all but one eye. The eyes with macular heterotopia showed (1) reduced visual acuity (ranging from 6/6 (20/20) to 6/24 (20/80), (2) reduced static perimetry sensitivity (particularly in the temporal field) with displacement of the peak sensitivity toward the blind spot, (3) loss of hue discrimination, and (4) metamorphopsia. In two eyes with macular heterotopia, Stiles-Crawford data provided evidence for photoreceptor disorientation; one eye had mixed orientation, and the other a displaced peak suggesting regular photoreceptor tilting. The proposed mechanisms of visual loss in eyes with macular heterotopia secondary to traction from proliferative diabetic retinopathy include detachment of the macula, disorientation of photoreceptors in the macula, and disturbance of normal neural connections within the retina caused by stretching of the retina.

Luminance--brightness comparisons of separated circular stimuli

An experiment was conducted in which observers adjusted the luminance of a 2856-K white comparison source to appear as bright as a chromatic source of known luminance. Twenty different chromatic sources were used, each subtending a visual angle of 1 degree. The results show that, for sources having the same dominant wavelength, the amount of white light required to make a brightness match increases as saturation increases. Additional observations were made using four of the chromatic sources at viewing subtenses of 20' and 6'. These results show that the amount of white light required to make a brightness match decreased as the source size decreased. The rate of decrease was most rapid for the red source.

Effect of distance on heterochromatic matching

The brightness of colors in a number of paintings by Francis Pratt appeared to vary as a function of the viewing distance. These pictures were composed of narrow strips of different colors varying in brightness and saturation. Five experiments were undertaken to replicate and study this effect under controlled conditions using heterochromatic brightness matching of various pairs of colored stimuli. The subjects were first-year students in psychology, participating as a course requirement. The number of subjects varied in the different experiments, between 6 and 9. The relative brightness of blue as compared to red, orange, and yellow-green varied as a function of viewing distance. The relative brightness of the blue decreased as distance increased. By varying the physical size of the stimuli it was possible to keep the angle subtended at the retina constant for two distances and the effect remained. Any explanation must therefore account for the finding that the effect is not due to the apparent size of th stimuli.