Vertical Sinusoidal Gratings Research Articles

Functional magnetic resonance imaging as a tool for investigating amblyopia in the human visual cortex: A pilot study

Purpose: This study investigates interocular differences in the level and extent of cortical activation in amblyopic and normal subjects. Subjects and Methods: Blood oxygenation level dependent functional magnetic resonance imaging (FMRI) was performed at 1.5 T. A total of 5 subjects with amblyopia and 6 control subjectswere recruited. Visual stimuli included a homogeneous field flickering at 8 Hz and vertical sinusoidal gratings with spatial frequencies of 0.5, 1, and 2 cycles per degree of visual angle (counterphased at 8 Hz). Baseline images were taken in darkness. Stimuli were presented monocularly and binocularly. Data analysis was constrained to the occipital cortex, including striate and extrastriate areas. An absolute percent difference measure defined interocular differences in terms of total area, average level of activation, and a pooled activation parameter. Results: Subjects with amblyopia exhibited a significantly larger (P <.05) interocular activation difference compared to controls. The level of activation driven by monocular stimulation of the amblyopic eye was reduced by 8.25% ± 1.3% relative to the dominant eye. Controls showed an interocular difference in level of activation of 4.82% ± 0.74%. The total area of activation driven by the amblyopic eye was reduced by 34.86% ± 6.25% relative to the dominant eye. Controls showed an interocular difference in total area of activation of 20.80% ± 3.67%. Subjects with amblyopia also manifested significantly greater (P <.05) cortical area and level of activation differences between the binocular and monocular states; the dominant eye response differed less from the binocular response than did the amblyopic eye response. Conclusion: FMRI is sensitive to amblyopia-related deficits in the human occipital cortex and, therefore, has potential as a tool for basic amblyopia research. (J AAPOS 2002;6:300-8)

Topical exposure of the eyes to the organophosphorus insecticide malathion: lack of visual effects

Concern for toxicity following exposure to organophosphorus insecticides led us to investigate whether topical application of either malathion or malathion mixed in a protein bait as used for aerial spray applications could be toxic to the ocular/visual system. Adult male Long-Evans rats were either untreated or treated with malathion alone (two drops per day in each eye), bait alone (six drops per day in each eye) or malathion and bait (six drops per day in each eye). The dose levels of malathion alone and malathion and bait were chosen based on pilot work and provided approximately equivalent amounts of active ingredient. The rats were treated 5 days a week for 4 weeks. During the final week of treatment, the rats were implanted surgically with cranial recording electrodes overlying the visual projection area of the cerebral cortex. Visual pattern-evoked potentials (PEPs) were elicited with vertical sinusoidal gratings at three levels of stimulus spatial frequency (0.08, 0.16 and 0.32 cycles per degree) and three levels of visual contrast (0.15, 0.30 and 0.60). After spectral analysis of the PEP waveforms, the amplitude and phase at the stimulus rate (F1) and the first harmonic (F2) were determined. Although F1 and F2 parameters were influenced significantly by manipulation of the stimulus parameters, no significant differences were observed that could be attributed to treatment with the test substances. In addition, an ophthalmological examination of the eyes and a light microscopic evaluation of ocular tissues, including retina and optic nerve, revealed no treatment-related lesions. The dose levels used in this study were high—approximately 84000 times the exposure per unit surface area expected from aerial spraying—and yet the visual function of the treated subjects was apparently normal. This study identified no significant toxicological concerns regarding direct ocular contact exposure to malathion.

Topical exposure of the eyes to the organophosphorus insecticide malathion: lack of visual effects.

Concern for toxicity following exposure to organophosphorus insecticides led us to investigate whether topical application of either malathion or malathion mixed in a protein bait as used for aerial spray applications could be toxic to the ocular/visual system. Adult male Long-Evans rats were either untreated or treated with malathion alone (two drops per day in each eye), bait alone (six drops per day in each eye) or malathion and bait (six drops per day in each eye). The dose levels of malathion alone and malathion and bait were chosen based on pilot work and provided approximately equivalent amounts of active ingredient. The rats were treated 5 days a week for 4 weeks. During the final week of treatment, the rats were implanted surgically with cranial recording electrodes overlying the visual projection area of the cerebral cortex. Visual pattern-evoked potentials (PEPs) were elicited with vertical sinusoidal gratings at three levels of stimulus spatial frequency (0. 08, 0.16 and 0.32 cycles per degree) and three levels of visual contrast (0.15, 0.30 and 0.60). After spectral analysis of the PEP waveforms, the amplitude and phase at the stimulus rate (F1) and the first harmonic (F2) were determined. Although F1 and F2 parameters were influenced significantly by manipulation of the stimulus parameters, no significant differences were observed that could be attributed to treatment with the test substances. In addition, an ophthalmological examination of the eyes and a light microscopic evaluation of ocular tissues, including retina and optic nerve, revealed no treatment-related lesions. The dose levels used in this study were high-approximately 84000 times the exposure per unit surface area expected from aerial spraying-and yet the visual function of the treated subjects was apparently normal. This study identified no significant toxicological concerns regarding direct ocular contact exposure to malathion.

Binocular vision enhances phase discrimination by filtering the background.

Previous studies have shown that the detectability of a noise-masked target can be enhanced under stereoscopic viewing when the target's interocular disparity differs from that of the noise. This enhanced detectability can be accounted for by a model postulating that the binocular system linearly sums the left-eye and right-eye views of a visual scene. This model also predicts enhanced phase discrimination under specifiable interocular disparities of target and noise. Two experiments were conducted in which subjects were asked to discriminate between two luminance patterns (target and foil) that differed only in phase. The target patterns were constructed by summating two vertical sinusoidal gratings in which the phase difference between the higher and the lower spatial frequency gratings was 45 degrees. The foils contained the same two component frequencies, with a phase difference of -45 degrees. Thus, targets and foils were mirror images of one another. The ability of subjects to discriminate between these stereoscopically viewed mirror-image patterns was investigated under two sets of interocular disparities: those that, according to our model, would unmask one or both spatial frequency components, and those that would leave both components masked by the noise. Phase discrimination was enhanced only when both component frequencies of the target and foil were unmasked. The implications of these findings for template-matching and phase-discrimination models of pattern discrimination are considered.

Spatial integration and effective spectral density of one-dimensional noise masks.

When masking one-dimensional gratings, the strongest masking effect is achieved by using one-dimensional spatial noise, which can be regarded as a special case of two-dimensional noise where the noise check height is equal to the grating height. The extent of spatial integration in the human visual system is limited, however. Hence, our aim was to investigate whether the effective height of noise checks of one-dimensional noise is similarly limited. We measured detection thresholds for vertical sinusoidal gratings with added spatial noise. The width of the noise checks remained constant, but their height increased until equal to the height of the image window which made noise one-dimensional. The contrast energy thresholds increased in direct proportion to increasing noise check height and the spectral density of noise, calculated by taking into account both the height and the width of the noise checks. The increase levelled off, however, after the critical noise check height (nyc). The critical noise check height in grating cycles changed as a function of spatial frequency (f) as nyc = 4.7 [1 + (1.4/f)2]-0.5. According to our results the effective height of noise checks was thus limited in accordance with studies on spatial integration, showing scale invariance above 1.4 c/deg.

Velocity Threshold for Relative and Uniform Motion

We measured velocity thresholds for relative and uniform motion as functions of spatial frequency and contrast. Stimuli were two horizontal bands on top of each other, both filled with vertical sinusoidal gratings. The gratings drifted either to the right or to the left, in opposite directions in the relative-motion condition but in the same direction in the uniform-motion condition. Observers had to report the direction of motion, and the velocity was varied until a velocity threshold was obtained. The results showed that the shapes of the threshold function plotted against spatial frequency are quite different for uniform and relative motion. The threshold for relative motion had a minimum at around 5 cycles deg−1, whereas the threshold for uniform motion had no such minimum, at least at higher contrasts (10% or higher). The difference was unclear for lower-contrast stimuli, however. The threshold profile as a function of contrast was also different between relative and uniform motion. Although the threshold decreased with increasing contrast in both cases, this dependence saturated at around 10% contrast for uniform motion, while it continued up to the highest contrast (85%) for relative motion. This difference held for all the spatial frequencies examined (from 0.75 to 12.1 cycles deg−1). The results suggest that the detection mechanisms for relative motion and uniform motion are different.

Inhibitory effects in the detection of 1 cpd jo targets superimposed to angular frequency stimuli or sinewave gratings.

Independence among channels processing different aspects of spatial information, including orthogonal stimuli, has been generally assumed in the literature. We tested independence between the processing of jo targets and the processing of either vertical sinusoidal gratings or angular frequency stimuli with suprathreshold summation. We found the detection of a jo target at 1 cpd to be affected in an inhibitory fashion by either background angular frequencies in the range of 3-96 cycles or sinewave gratings in the range of 0.8-3.0 cpd. These results demonstrate interactions both among orthogonal stimuli and among channels processing vertical sinewave gratings and jo target stimuli. Our discussion focuses on the hypothesis of frequency decomposition in polar coordinates.

The effect of anti-epileptic drugs on visual perception in patients with epilepsy.

We investigated the influence of the antiepileptic drugs carbamazepine (CBZ), phenytoin (PHT) and valproic acid (VPA) on different aspects of visual perception in patients with epilepsy by three different methods. (i) The colour arrangement test Farnsworth Munsell D100. (ii) A monitor system generating 24 different Gaussian dots and 24 different vertical sinusoidal gratings. Luminance increments and decrements for achromatic discrimination and four different colours for chromatic discrimination were investigated with four different sizes each adding up to 24 stimuli. (iii) A Maxwellian view system providing a foveal blue test light either superimposed on a yellow adaptation field (increment threshold) or after switching off this field (postadaptation threshold). Five different adaptation levels were investigated. Patients on PHT offered the most abnormalities, particularly in the D100 and in all Gaussian dots recordings. The individual differences between increment and postadaptation threshold (transient tritanopia effect) were significantly elevated at the four higher adaptation levels, whereas no change was found in the increment thresholds and only for the highest luminance level in the postadaptation thresholds. With VPA, chromatic and achromatic increment discrimination was impaired particularly for larger Gaussian stimuli on the monitor system. Valproic acid also induced a consistent increment threshold increase on the Maxwellian view system, an increase of the postadaptation threshold at the highest luminance level and, like PHT, an increase of the threshold differences at level 3 and 4, but not at the highest background level 5. Patients on CBZ provided normal results in all investigations, with the exception of a slight but significant increase in the D100 error score. Sinusoidal gratings turned out to be much less sensitive than Gaussian dots since they remained unchanged in patients on all three drug groups.

Asymmetry of motion VEP in infantile strabismus and in central vestibular nystagmus.

Norcia et al. [1] found a nasal-temporal asymmetry of visually evoked potentials (VEP) elicited by motion stimuli in patients with infantile strabismus. Patients with infantile strabismus typically present with an asymmetry of the monocular optokinetic nystagmus (OKN). We here address the question whether the asymmetry of the motion VEP indicates a sensory defect in the afferent visual pathway that could explain the OKN asymmetry. We recorded the VEP to a horizontally oscillating vertical sinusoidal grating in 20 patients with infantile strabismus (esotropia, asymmetry of the monocular optokinetic nystagmus, latent nystagmus) and in 10 normal controls. No asymmetry occurred in the 10 controls. Eight of the 20 patients with infantile strabismus showed a clear difference between the VEPs evoked by back and forth movements with a mirror-like asymmetry between the two eyes (phase shift 180 +/- 20 degrees). However, there was no significant correlation between the degree of VEP and OKN asymmetries. Therefore, we assume that the VEP asymmetry does not reflect the primary cause of the OKN asymmetry. Rather, the OKN asymmetry may be due to a sensory-motor defect in the efferent subcortical pathway, and the VEP asymmetry could be an epiphenomenon. Some of the VEP asymmetry may be a consequence of the latent nystagmus typically released under monocular stimulation, leading to adaptation of the afferent retino-cortical pathway. This suggestion is supported by a marked VEP asymmetry that we found in two patients with an acquired central vestibular nystagmus, an abnormality most likely not combined with a primary defect of the retino-cortical pathway.

Visual dysfunction in patients with mitochondrial myopathies. II. Contrast sensitivity function.

Contrast sensitivity function with stationary and temporally modulated (8 Hz) black and white vertical sinusoidal gratings was investigated in 11 patients with biopsy-confirmed mitochondrial progressive external ophthalmoplegia. To evaluate contrast sensitivity function results, the contrast sensitivity versus spatial frequency experimental data for each subject were fitted with a second-order polynomial, and the coefficients of the best-fitting function from normal and patient groups were compared. Patients with progressive external ophthalmoplegia, as a group, showed a decreased sensitivity at the intermediate spatial frequencies (i.e., around 1.4 c/deg) with stationary gratings and through a wider range of spatial frequencies with temporally modulated gratings. These findings were confirmed by analyzing contrast sensitivity functions from each individual. The study showed that contrast sensitivity function detects visual function abnormalities noninvasively in a number of patients with mitochondrial progressive external ophthalmoplegia with unaffected Snellen visual acuity.

Refraction, aliasing, and the absence of motion reversals in peripheral vision

Reversals in perceived direction of motion of a grating when its spatial frequency exceeds half that of the sampling mosaic provide a potential tool for estimating sampling frequency in peripheral retina. We used two-alternative forced-choice tasks to measure performance of three observers detecting or discriminating direction of motion of high contrast horizontal or vertical sinusoidal luminance gratings presented either 20 or 40 deg from the fovea along the horizontal meridian. A foveal target at a comfortable viewing distance aided fixation and accommodation. A Maxwellian view optometer with 3 mm artificial pupil was used to correct the refraction of the peripheral grating, which was presented in a circular patch, 1.8 deg in diameter, in a surround of similar colour and mean luminance (47.5 cd · m −2). The refractive correction at each eccentricity was measured by recording the aerial image of a point after a double pass through the eye. The highest frequency which can reliably be detected (7–14 c/deg at 20 deg, 5.5–7.5 c/deg at 40 deg) depends critically on refraction. Refraction differs by up to 5 D from the fovea to periphery, and by up to 6 D from horizontal to vertical. Direction discrimination performance shows no consistent reversals, and depends less on refraction. It falls to chance at frequencies as low as one-third of the highest that can be detected. Gratings which can be detected but whose direction of motion cannot be discriminated appear as irregular speckle patterns whose direction of motion varies from trial to trial. The absence of motion reversals may reflect irregularity of sampling, and suggests that reversals are not a simple tool for studying sampling in peripheral vision.

A dissociation between reaction time to sinusoidal gratings and temporal-order judgment.

The effect of the spatial frequency (SF) of visual gratings on reaction time (RT) and temporal-order judgment (TOJ) was examined in three experiments. In experiment 1 the visual stimuli were vertical sinusoidal gratings with SFs between 2 and 8 cycles deg-1 and the comparison stimulus in the TOJ task was a 2300 Hz tone. Whereas SF had a highly significant effect on RT, it left TOJ completely unaffected. To test whether this dissociation was due to the sharp (high SF) horizontal edges of the gratings, a second experiment was carried out with circular stimuli with no sharp edges. These stimuli did produce an effect of SF on TOJ, but it was significantly smaller than was the effect on RT. In experiment 3 we confirmed that this difference was not due to differences in grating orientation between the first two experiments. These findings (a) solve discrepancies between findings reported in the literature and (b) strongly suggest that RT and TOJ cannot be regarded as converging operations for determining 'visual latency'. This dissociation can best be accounted for by assuming that the output of early stimulus analysis can feed directly into the motor system (direct parameter specification), whereas the conscious representation that is used for TOJ is based on later integrative processes.

Impulse-response functions for chromatic and achromatic stimuli

Thresholds were measured for detecting pairs of briefly flashed stimuli displayed successively at variable onset asynchronies. The stimuli were 1 cycle/deg vertical sinusoidal gratings, modulated either in luminance (yellow–black) or in color (red–green). The successive presentations were either of the same contrast (positive) or of opposite contrast (negative), yielding four separate summation curves: positive and negative summation for color and for luminance. Both the positive and the negative curves followed a shorter time course for luminance than for color, implying a faster response at threshold. To calculate impulse response functions from the summation data, we assumed that the neural impulse response from two successive stimuli sum linearly at threshold, that thresholds are determined by probability summation of the combined impulse response over time, and that the impulse response can be described by an exponentially damped frequency-modulated sinusoidal function with four free parameters. The predicted impulse responses for luminance and for color are quite different, being biphasic for luminance and monophasic for color. Fourier transform of these functions yielded estimates of the amplitude and the phase functions of hypothetical visual detectors: the amplitude functions predicted well the contrast sensitivity of counterphased gratings (as a function of temporal frequency) both for luminance and for chromatic stimuli.

What part of a vernier stimulus determines performance?

Vernier acuity was measured using a pair of long, abutting vertical sinusoidal luminance gratings. Performance was also measured for pairs of thin horizontal strips of grating whose vertical separation was varied in order to represent different parts of the original grating. At small strip separations, performance was equivalent to that for the long gratings only at high spatial frequencies. At moderate spatial frequencies, intermediate strip separations resulted in equivalent performance. This suggests that different parts of a vernier stimulus can mediate performance depending upon the underlying spatial frequency content. Implications for the effect of contrast upon different vernier configurations are examined.

Spatial adaptation to text on a video display terminal

We employed vertical sinusoidal test gratings to search for spatial adaptation to lower-case text presented on a standard video display terminal. The parameters of the contrast sensitivity test were selected on the basis of waveform analysis of horizontal spatial luminance profiles of the text. We found that subjects exhibited a small (4-5 dB), but significant, frequency-specific spatial adaptation consistent with the frequency spectrum of the stimulus. The theoretical and practical significance of this finding is discussed.

Relation of spatial and temporal frequencies to vernier acuity

Vernier thresholds were measured with a pair of vertical sinusoidal gratings of one and a half cycles as targets. The amplitude was weighted by a one-dimensional Gaussian and contrast was set one log unit above contrast threshold. The vernier thresholds were estimated with the method of constant stimuli. Temporal frequency effects were introduced by movement of the vernier targets. It was found that vernier thresholds expressed in phase angle were unchanged in the effective range of spatial frequencies provided that the temporal frequency and the visibility were unchanged, and that thresholds deteriorated by increasing the temporal frequency. It is suggested that the detection of relative phase may be involved in the discrimination of vernier offsets and that it may be mediated by a sustained unit. Three possible types of mechanisms, edge-localization processes, orientation-selective units and phase-sensitive units, were considered in relation to vernier acuity.

Spatial frequency and contrast effects on percepts of bistable stroboscopic motion.

Using alternating frames containing circular patches of vertical sinusoidal gratings, we investigated the effects of spatial frequency and contrast on the perception of end-to-end element and group motion in bistable motion. Experiment 1 showed that for a fixed physical contrast of .33, the percentage of reports of group motion tended to decrease across interstimulus intervals (ISIs) as spatial frequency increased from 1.5 to 6.0 cycles per degree (cpd), In Experiment 2, increasing the contrast of 1.5-cpd elements from .11 to .33 increased the percentage of group motion reports across ISIs. In Experiment 3, we set the physical contrasts of the 1.5- and 3.0-cpd grating patches to match subjectively the apparent contrast of the 6.0-cpd grating set at a physical contrast of .33. With such subjectively equated contrasts, the spatial frequency-dependent trend found in Experiment 1 was either attenuated or eliminated. These results (1) implicate the role of spatial frequency- and contrast-dependent pattern persistence effects on the perception of bistable motion, and (2) in the context of prior studies, suggest that the contribution of this general persistence effect to the perception of bistable motion is independent of the intrinsic spatial scale properties that characterize motion detectors.

Spatial-frequency tuning as a function of temporal frequency and stimulus motion.

Spatial-frequency tuning at two different spatial frequencies was determined by measuring the detectability of a signal grating that was made difficult to see by low- or high-pass visual noise. The signals were vertical sinusoidal gratings of different spatial frequencies. The detectability of the signal was measured in two-alternative forced-choice tasks with different temporal envelopes: (1) a slowly changing raised-cosine (Hanning) window, (2) a rectangularly gated 2-Hz counterphase flickering envelope, and (3) a rectangularly gated 10-Hz counterphase flickering envelope. Additional measurements were made using drifting stimuli with the signal and noise drifting in the same or in opposite directions. The temporal envelopes were chosen because they have different effects on the contrast-sensitivity function and it was desired to know how temporal factors affect the spatial-frequency tuning of the relatively narrowly tuned channels thought to underlie contrast sensitivity. The results show that, for counterphase flickering stimuli, spatial-frequency tuning does not depend on temporal envelopes applied identically to the signal and to the masking noise. A similar picture emerges at slow (2.7-deg/sec) but not at fast (10.9-deg/sec) drift rates.

Apparent contrast of a sinusoidal grating in the simultaneous presence of peripheral gratings

Apparent contrast of a vertical sinusoidal grating in the simultaneous presence of peripheral gratings was measured as a function of peripheral contrast, with test contrast, and relative phase and position of the two gratings as parameters. When the peripheral gratings were horizontally adjacent to the test grating, irrespective of the phase relation, the apparent contrast was raised in the range of peripheral contrast below the test contrast, but depressed in the range of peripheral contrast above the test contrast. When the peripheral gratings were vertically adjacent to the test grating, a similar tendency as mentioned above was observed under the in-phase condition. Under the opposite-phase condition, the apparent contrast was raised monotonically with an increase in peripheral contrast. These effects can be explained in terms of three processes of brightness induction, spatial summation and interaction between the spatial-frequency selective mechanisms.

An investigation into hemisphere differences in adaptation to contrast.

Suggestions that the cerebral hemispheres differ in their ability to adapt to high-contrast visual stimuli were investigated using vertical sinusoidal gratings. In one experiment, subjects set thresholds for stimuli to the left or right of fixation before and after adaptation to high contrast. In another experiment, subjects detected the appearance and compared the relative suprathreshold contrasts of stimuli presented simultaneously to left and right of fixation before and after adaptation. In a third experiment, signal detection parameters were calculated. No systematic hemisphere differences were found in baseline sensitivity, in apparent suprathreshold contrast, in the magnitude or time-course of the threshold elevation aftereffect, or in apparent contrast after adaptation. Possible explanations for the hemisphere differences reported by other workers are discussed, and task complexity is suggested as a major factor which distorted previous results.