Accommodation modulates the individual difference between objective and subjective measures of the final convergence step response.

Measuring vergence eye movements with dichoptic nonius lines (subjectively) usually leads to an overestimation of the vergence state after a step response: a subjective vergence overestimation (SVO). We tried to reduce this SVO by presenting a vergence stimulus that decoupled vergence and accommodation during the step response, i.e. reduced the degree of 'forced vergence'. In a mirror-stereoscope, we estimated convergence step responses with nonius lines presented at 1000 ms after a disparity step-stimulus and compared it to objective recordings (EyeLink II; n = 6). We presented a vertical line, a cross/rectangle stimulus and a difference-of-gaussians (DOG) pattern. For 180 min arc step stimuli, the subjective measures revealed a larger final vergence response than the objective measure; for the vertical line this SVO was 20 min arc, while it was significantly smaller for the DOG (12 min arc). For 60 min arc step-responses, no overestimation was observed. Additionally, we measured accommodation, which changed more for the DOG-pattern compared with the line-stimulus; this relative increase correlated with the corresponding relative change of SVO (r = 0.77). Both findings (i.e. no overestimation for small steps and a weaker one for the DOG-pattern) reflect lesser conflicting demand on accommodation and vergence under 'forced-vergence' viewing; consequently, sensory compensation is reduced and subjective and objective measures of vergence step responses tend to agree.

Objective and subjective measures of vergence step responses.

Dichoptic nonius lines are used for subjectively (psychophysically) measuring vergence states, but they have been questioned as valid indicators of vergence eye position. In a mirror-stereoscope, we presented convergent and divergent step-stimuli and estimated the vergence response with nonius lines flashed at fixed delays after the disparity step stimulus. For each delay, an adaptive psychophysical procedure was run to determine the physical nonius offset required for subjective alignment; these vergence states were compared with objective eye movement recordings. Between both measures of initial vergence, we calculated the maximal cross-correlation coefficient: the median in our sample was about 0.9 for convergence and divergence, suggesting a good agreement. Relative to the objective measures, the subjective method revealed a smaller vergence velocity and a larger vergence response in the final phase of the response, but both measures were well correlated. The dynamic nonius test is therefore considered to be useful to relatively evaluate a subject's ability in disparity vergence.

[Do prism corrections according to H.-J. Haase affect ocular prevalence?]. / Beeinflussen Prismen nach H.-J. Haase die Augenprävalenz?

BACKGROUND: For prism correction of associated phoria (at 5-6 m viewing distance), Hans-Joachim Haase developed--among other tests--the prevalence test, which consists of a central fixation target and two triangles that appear stereoscopically about 1.5 m in front of or behind the fixation target; the vertex of each triangle is directed towards the centre of the fixation target. Only when both eyes contribute equally to the perception of visual directions do the triangles appear centred (equivalence), while any perceived horizontal offset between the triangles and fixation target indicates a prevalence of one eye. Provided that monocular vision is equal in both eyes, Haase interpreted ocular prevalence as being due to a small vergence error (fixation disparity with a shift of retinal correspondence). This vergence error indicates, according to Haase, a (not yet fully corrected) heterophoria. From practical experience, Haase developed rules for transferring ocular prevalence into equivalence with prisms (MKH). If equivalence has been reached, Haase assumed that the heterophoria was fully corrected. METHOD: In 19 subjects we examined whether spherical and prismatic corrections reduce ocular prevalence. The perception of the subjects was ascertained with three methods: they were asked 1. to describe their perception orally--as proposed by H.-J. Haase--, 2. to make a drawing of their perception, and 3. to align the position of the stereo images to the central fusion target with a computer-controlled device. RESULTS: Based on the group mean, the three methods did not reveal a consistent reduction of prevalence. Only in two individuals did the drawing and the computer-controlled alignment showed reductions of prevalence that were confirmed statistically on the individual level. However, it has to be noted that these two individuals not only received prisms but also a correction of their hyperopia and anisometropia. CONCLUSION: The prevalence of one eye is a common phenomenon in normal binocular vision (with the amount of prevalence often being different for triangles presented in front of or behind the fixation target). In only a few subjects can prevalence be reduced with prisms. Equivalence as reported by oral description (method 1) was often not confirmed by drawing (method 2) or by the computer-controlled alignment (method 3). As an explanation for the differences between methods 1, 2 and 3 we assume that the oral description of the test perception was influenced by imponderables such as the expectation on the side of the experimenter and/or the desire to please on the side of the subject. The present results do not support the prevalence test--as developed by H.-J. Haase--for the correction of associated phoria.

[Associated heterophoria and the asymmetry of ocular prevalence for stereo images in front of or behind a reference plane]. / Assozierte Heterophorie und Vorn-hinten-Asymmetrie der Prävalenz eines Auges.

BACKGROUND: An unequal weighting of the eyes in the directional perception of stereodisparate objects, is referred to as ocular prevalence of the right or left eye, respectively. Between 1962 and 1964 H.-J. Haase developed a valence test for the prismatic correction of heterophoria. He suggested that there would be less prevalence for stereo images presented in front of or behind a reference plane, and that this asymmetry of prevalence may be related to the direction of the associated heterophoria (eso- or exophoria). According to H.-J. Haase, the asymmetry may indicate a fixation disparity with a corresponding shift in retinal correspondence. Hence, the valence test could be an indicator for the prismatic correction of heterophoria. METHODS: Prevalence was tested in 37 subjects, using three methods: The subjects were asked to describe their perception (1), to make a paper drawing of their perception (2), and to align the position of the stereo images to the central fusion target with a computer-controlled device (3). METHODS 2 and 3 were used to reduce a possible suggestive influence on part of the investigator. The associated heterophoria was determined with the cross test by H.-J. Haase. RESULTS: Depending on whether the triangular stereo images were presented behind or in front of the reference plane, more or less prevalence was measured (mean values) in the group with exophoria than in the group with esophoria. These results were confirmed with all three methods. The asymmetry of prevalence was correlated with the direction of the associated heterophoria with r = 0.5. CONCLUSION: Statistically, these results confirm Haase's hypothesis of a relation between the asymmetry of ocular prevalence and the direction (eso- or exophoria) of the associated heterophoria. Since this relation holds true only for the group mean value, but not for each individual, the valence test cannot be generally recommended as an adjunct for the prismatic correction of heterophoria.

[Vergence dynamics and variability of fixation disparity in school children with reading-spelling disorders]. / Dynamik der Vergenz und Variabilität der Fixationsdisparität bei Schulkindern mit Lese-Rechtschreib-Schwächen.

BACKGROUND: New computer-controlled psychophysical procedures allow one to measure some temporal aspects of binocular coordination. The present study investigates whether these procedures can be operated by children and whether the tests are useful to detect previously reported impairments in dynamics and stability of vergence in children with disability in reading and writing. METHODS: To assess the variability in vergence accuracy (fixation disparity), a stationary fusion stimulus appeared on a computer monitor superimposed by short-term presentations of two dichoptic vertical nonius lines with varying horizontal offset. From the variability of the responses, a measure of vergence variability was deduced. Vergence velocity was estimated with nonius lines that appeared at a fixed delay of 400 ms after a sudden change in disparity of 30 minutes of arc. The full sample comprised 66 children, aged 7-16 years. 16 of these were not able to localize the nonius lines accurately in a control condition; therefore, these children were excluded from the following analysis. RESULTS: In the remaining 50 children, a group of 30 pupils with different aspects of disability in reading and writing had a nearly significant worse vergence performance both with respect to convergence velocity and to variability of fixation disparity (as compared to a control group of n = 20). These two findings corresponded to each other since convergence velocity and variability of fixation disparity were correlated. CONCLUSIONS: The results confirm previous reports and suggest further research on temporal aspects of vergence with respect to dyslexia. The computer-controlled test procedures are applicable in children of about 10 years or older.

The influence of bright background flicker during different saccade periods on saccadic performance.

We investigated saccades from central fixation to targets at 5 degrees to the left or right. These targets were red laser points of light with an intensity unmodulated in time (referred to as steady), while a bright background (76 cd/m(2)) was illuminated by a special fluorescent lamp, the output of which were series of light pulses (at frequencies of 50 or 100 Hz) that were presented only during certain periods, in synchrony with the saccade: e.g. during fixation of the central target, or during the latency (i.e. the period from target onset to saccade onset), or during the execution of the saccade; otherwise, the background luminance was steady. We observed a mean increase in latency of about 23 ms when 50 Hz flicker pulses occurred during the latency alone. This result is interpreted in terms of saccadic inhibition [Reingold & Stampe, (2000) In: Kennedy, Radach, Heller, & Pynte (Eds.) Reading as a perceptual process. Elsevier, Amsterdam]: our bright background flicker during the latency may have produced longer latencies, similar to the remote distractors in the model of Findlay and Walker [Behav. Brain Sci. 22 (1999) 661].

Methods for measuring the proximity-fixation-disparity curve.

The reliability and validity of new tests of fixation disparity were investigated as a function of viewing distance (100, 60, 40, and 30 cm). The 'nonius offset card' presents a set of paired dichoptic nonius (vernier) lines with different offset simultaneously: the subject has to indicate the coinciding lines. The 'computer test' uses a psychophysical procedure that presents one pair of nonius lines sequentially with varying offset; the effect of the number of short-term nonius test trials is investigated. As a reference, the Mallett unit and the Sheedy disparometer were used. Despite different group means, the methods had significant test-retest correlations and inter-correlations, as tested at 40 cm. All methods showed an increase in exo fixation disparity as the viewing distance was shortened; the slope of this proximity-fixation-disparity curve, however, was different between the nonius offset card and the computer test.

Fixation disparity and accommodation for stimuli closer and more distant than oculomotor tonic positions.

Both the vergence and the accommodative system have individual tonic positions (also referred to as dark vergence and dark focus, respectively) where the static response may be expected to be most accurate. This was confirmed by measuring fixation disparity with nonius lines and accommodation with an autorefractometer for foveal stimuli at viewing distances of 460, 100, 60, 40, and 30 cm. Multiple regression analysis was used at each viewing distance to predict fixation disparity from dark vergence, dark focus, accommodative gain and accommodative convergence: these accommodative measures had little effect on the inter-individual variability of near fixation disparity nor on the linear slope of fixation disparity as a function viewing distance.

Contrast thresholds and fixation disparity during 5-Hz sinusoidal single- and dual-axis (vertical and lateral) whole-body vibration.

The present study assumed that whole-body vibration, transmitted through the seat, impairs spatial retinal resolution and oculomotor alignment parallel to the vibration axis. More specifically, that the decrement increases gradually from single-axis lateral via single-axis vertical and dual-axis linear to dual-axis circular motion. Twenty participants (19-26 years of age) with good vision volunteered for the experiment where in three sessions one of the following three conditions, contrast threshold, nonius bias or fixation disparity, for vertically and horizontally oriented test patterns was determined during five experimental conditions. The latter comprised a control (a(z) = a(y) = 0) and four conditions where 5-Hz sinusoidal motion of 1.2 ms(-2) rms were applied separately, either in the vertical or in the lateral direction, or simultaneously in both directions, once without and once with a phase shift of 90 degrees, thus causing dual-axis linear or circular motion. Contrast thresholds for horizontal gratings and the variability of vertical fixation disparity increased significantly whenever the participants were exposed to vertical motion (alone or combined with lateral motion). These effects may result in an increased difficulty in properly recognizing characters and graphic patterns containing horizontal lines and in the development of asthenopic complaints.

Fixation disparity and nonius bias.

Fixation disparity, i.e. the vergence error within Panum's area, can be measured psychophysically with two nonius (vernier) lines that are presented dichoptically, i.e. one to each eye. The observer adjusts these nonius lines to subjective alignment; the resulting physical nonius offset indicates the amount of fixation disparity. The present experiments investigate the relation between fixation disparity and the nonius bias, which is the physical offset of the nonius lines that is adjusted by the observer in order to perceive them as aligned when both nonius lines are presented to both eyes (binocular nonius bias) or both to the left or both to the right eye (monocular nonius bias). It was found that (1) the fixation disparity is correlated with the binocular nonius bias in the horizontal and vertical meridian and (2) the binocular nonius bias can be predicted from the average of the right eye and left eye monocular nonius bias. To remove the influence of the nonius bias on measured fixation disparity it is possible to calculate the fixation disparity relative to the individual binocular nonius bias, rather than to the physical coincidence of the nonius lines. This procedure tends to increase the correlation between fixation disparity and the tonic resting position of vergence. We discuss the clinical relevance of the dichoptic nonius method for measuring fixation disparity and its limitations as compared to physical recordings of eye position.

A procedure to determine the individually comfortable position of visual displays relative to the eyes.

In an intervention phase, 38 operators used four different imposed screen positions (near versus distant, high versus low) for a full working day to experience the advantages and disadvantages. Screens at about 66 cm induced more reported strain than screens at about 98 cm. When operators later freely selected their individually most comfortable screen position, individually different changes due to the intervention were observed: some subjects changed to shorter, others to longer viewing distances, some operators adjusted the screen lower, others higher. These effects were confirmed in repeated tests. Thus, trying out different screen positions appears useful for arranging the VDU workstation to the individually most comfortable screen location relative to the eyes.

Fixation disparity, accommodation, dark vergence and dark focus during inclined gaze.

We investigated several oculomotor functions at different angles of vertical inclination of the gaze direction from 15 deg upwards to 45 deg downwards. The mean accommodative resting state (measured in a dark visual field) increased when the eyes or the head were declined from 0 to 45 deg. Fixation disparity (the vergence error in minutes of arc relative to the principle visual directions) became more eso when a fusion target at a viewing distance of 40 cm was lowered: declining the gaze by 45 deg changed mean fixation disparity by 1.8 min arc with eye inclination (keeping the head upright), and by 0.9 min arc with head inclination (with eye position unchanged relative to the head). When the eyes were lowered, the individual rate of eso change in fixation disparity was correlated with the amount of the subjects' near shifts in the resting position of vergence, measured in darkness. Significant test-retest correlations between repeated measurements showed that the effects of eye inclination on vergence varied in a reproducible way among individuals with good binocular vision.

Fixation disparity at different viewing distances and the preferred viewing distance in a laboratory near-vision task.

Previous research has shown that subjects with normal binocular vision differ reliably in the extent to which their fixation disparity changes in the exo direction when the viewing distance is shortened from 100 to 20 cm. Since fixation disparity can lead to asthenopic complaints, the present study investigates whether an exo fixation disparity induced by proximity may cause subjects to move to a longer viewing distance during a near-vision task in order to reduce exo fixation disparity. In two optometric sessions, fixation disparity and accommodation were tested at 60, 40, and 30 cm viewing distance. In a further session, subjects were required to begin a one-hour near-vision task at about 40 cm viewing distance, at which the text characters subtended a comfortable visual angle of 21 min arc. Later, the subjects were free to adopt any viewing distance. In the initial phase of the task, subjects moved back from the screen to a greater or lesser extent that was correlated with the amount of proximal exo fixation disparity: the more a subject's fixation disparity changed to exo when the viewing distance had been shortened from 60 to 30 cm the more he or she moved to longer viewing distances in the course of the near-vision task. Further, the more distant the resting position of vergence (dark vergence), the more visual complaints the subjects indicated after the task relative to before.

Preferred position of visual displays relative to the eyes: a field study of visual strain and individual differences.

At office workplaces equipped with visual display units (VDU) that were adjustable to various positions relative to the eyes short and long viewing distances from the eyes to the screen were imposed (mean value of about 63 and 92 cm) at two levels of screen height so that the visual target was either at eye level or 18 cm below, on the average. The change from far to near viewing distance produced a larger increase in eyestrain when the VDUs were at eye level. High screens resulted in greater eyestrain than low screens, as shown by correlations over subjects. When operators were free to adjust the most comfortable screen position, the group of 22 participants preferred viewing distances between 60 and 100 cm and vertical inclination of gaze direction between horizontal and -16 degrees downwards. However, within most subjects the range of preferred screen positions was much smaller. Between 3 days during a 1-month period the test-retest correlations of the preferred screen positions were highly significant, both for viewing distance and vertical gaze inclination. When operators were forced to work at a shorter distance than their preferred viewing distance they reported more visual strain. Thus, operators appear to prefer an individual adjustment of the screen relative to the eyes in order to avoid visual strain and discomfort at VDU work.

Fixation disparity and accommodation as a function of viewing distance and prism load.

Fixation disparity was measured with dichoptically presented nonius lines at viewing distances of 20, 30, 40, 60, and 100 cm, so that both vergence and accommodation were stimulated adequately as in normal vision. As the viewing distance was shortened, mean fixation disparity changed monotonically from 1 min arc eso (i.e., the eyes converged in front of the target) to 3 min arc exo. The average standard deviation of the psychometric function of fixation disparity, which is a measure of the temporal variability of vergence, was smallest at 100 cm (when fixation disparity was eso) and increased as viewing distance decreased. Fixation disparity itself and the change of fixation disparity with distance differed reliably among subjects with normal binocular vision, but neither was related to the momentary degree of accommodation. Fixation disparity was also measured at a constant distance of 40 cm, but with prisms in front of the eyes that induced the same vergence angles as viewing distances between 20 and 100 cm. The slope of these conventional fixation disparity curves as a function of prism load was generally larger than the slope of fixation disparity as a function of viewing distance (which can be explained by accommodative vergence), but the slopes of the two types of curves were correlated (r = 0.39, P = 0.02, n = 25).

Contrast sensitivity after wearing prisms to correct for heterophoria.

Contrast sensitivity to sinusoidal gratings was measured at spatial frequencies of 1.5-16 c/deg in 8 subjects before and after wearing prisms (for at least two weeks) to correct heterophoria, prescribed by the full correction method of H.J. Haase (Binocular testing and distance correction with the Berlin Polatest [trans. W. Baldwin]. J. Am. Optom. Assoc. 34, 115-125, 1962). At higher spatial frequencies of 12-16 c/deg, we found an average improvement in contrast sensitivity of 0.15 log unit. This effect is estimated to correspond to an increase in visual acuity of 15%.

Accommodation, convergence, pupil diameter and eye blinks at a CRT display flickering near fusion limit.

This study investigates possible effects of temporally modulated light stimulation near critical fusion frequency (CFF) when subjects observe a cathode ray tube (CRT) operated at different refresh rates. Various visual functions were measured in a series of tests of 2.5 min duration. In experiment 1, at a repetition rate of 50 Hz mean pupil size was 0.055 mm smaller than at 300 Hz. The precision of convergence and accommodation in binocular vision was not affected. In experiment 2, 300 Hz was compared with the lowest frequency that did not produce visible flicker for each subject. At the lower rate (55 to 90 Hz), mean accommodation in monocular vision was 0.06 D weaker, median eye blink duration was 6% shorter, and mean eye blink interval was 15% longer. Individual differences and possible fatigue effects of intermittent light at visual display units are discussed.

Precise placement of nonius lines on a personal computer screen for measuring fixation disparity.

A method is described for measuring fixation disparity psychophysically using the conventional monitor of a personal computer. Both the nonius test stimuli and the fusion stimulus were presented on the same screen. To be able to adjust the offset of the nonius lines in very small steps, special electronic circuitry was developed that allows up to 16 steps within the pixel separation of the monitor. The method is flexible in that various geometrical dimensions of the visual stimuli and different psychometric procedures can be used.