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Torsional Anomalous Retinal Correspondence Effectively Expands the Visual Field in Hemianopia

Satgunam, PremNandhini*; Peli, Eli

doi: 10.1097/OPX.0b013e3182678d42
Original Articles

Purpose. Exotropia in congenital homonymous hemianopia has been reported to provide field expansion that is more useful when accompanied with harmonious anomalous retinal correspondence (HARC). Torsional strabismus with HARC provides a similar functional advantage. In a subject with hemianopia demonstrating a field expansion consistent with torsion, we documented torsional strabismus and torsional HARC.

Methods. Monocular visual fields under binocular fixation conditions were plotted using a custom dichoptic visual field perimeter. The dichoptic visual field was also modified to measure perceived visual directions under dissociated and associated conditions across the central 50° diameter field. The field expansion and retinal correspondence of a subject with torsional strabismus (along with exotropia and right hypertropia) with congenital homonymous hemianopia was compared with that of another exotropic subject with acquired homonymous hemianopia without torsion and to a control subject with minimal phoria. Torsional rotations of the eyes were calculated from fundus photographs and perimetry.

Results. Torsional anomalous retinal correspondence documented in the subject with congenital homonymous hemianopia provided a functional binocular field expansion up to 18°. Normal retinal correspondence was mapped for the full 50° visual field in the control subject and for the seeing field of the acquired homonymous hemianopia subject, limiting the functional field expansion benefit.

Conclusions. Torsional strabismus with anomalous retinal correspondence, when occurring with homonymous hemianopia provides useful field expansion in the lower and upper fields. Dichoptic perimetry permits documentation of ocular alignment (lateral, vertical, and torsional) and perceived visual direction under binocular and monocular viewing conditions. Evaluating patients with congenital or early strabismus for HARC is useful when considering surgical correction, particularly in the presence of congenital homonymous hemianopia.

*BS(Opt), MS, PhD


Schepens Eye Research Institute, Massachusetts Eye and Ear, and Department of Ophthalmology, Harvard Medical School, Boston, Massachusetts (PNS, EP).

Supplemental digital contents are available for this article. Direct URL citations appear in the printed text and are provided in the HTML and PDF versions of this article on the journal's Web site (

Received December 5, 2011; accepted June 4, 2012.

Eli Peli Schepens Eye Research Institute 20 Staniford Street Boston, MA 02114-2500 e-mail:

Homonymous hemianopia can be acquired or congenital.1,2 Congenital homonymous hemianopia is frequently diagnosed only in early adulthood, with the patient and family having no prior knowledge of the visual field defect.35 In some cases of congenital or presumed congenital homonymous hemianopia, exotropia of the eye ipsilateral to the visual field loss has been reported.611 For example, in right homonymous hemianopia with right exotropia, the right eye covers more of the right field of view (Fig. 1B) than in orthotropia (Fig. 1A). A left esotropia would provide a similar field expansion effect, but with some reduction of the left temporal visual field (Fig. 1C). Reports of esotropia in congenital homonymous hemianopia are relatively unknown. We found only one such probable occurrence in the literature.4

As a result of strabismus, patients may experience diplopia (two images of the same object with different visual directions) and visual confusion (two different objects seen in the same visual direction).12 Usually only diplopia is reported spontaneously. The field expansion illustrated in Fig. 1 may be less beneficial if accompanied by diplopia, as central diplopia can be disturbing and ill tolerated. It is possible to correct the diplopia with prisms or surgery,13,14 or avoid it by patching one eye. However, these treatments, if successful, also eliminate the field expansion benefit of the strabismus. For this reason, some strabismus surgeons consider congenital hemianopia a contraindication for strabismus surgery,6 in spite of the disagreement if the strabismus is a purposeful adaptation to congenital hemianopia or simply an epiphenomenon.10,15 Prisms are frequently fitted as an optical treatment for hemianopia.16,17 If a prism sector is fitted unilaterally (on one lens only) and when the patient's gaze is directed through the prism toward the field loss, central diplopia occurs,18 similar to acquired strabismus. The strabismus (exotropia, if the prism is fitted base-out) is optically induced by the prism.19 Again, if the diplopia is resolved either by fusing the images through the prisms or by suppression, the field expansion effect is eliminated.20

Sensory adaptations such as suppression or anomalous retinal correspondence (ARC) may develop in the presence of strabismus occurring in the early years of development.2123 Suppression may be total, affects the whole field, or may be partial, affects only the fovea of the deviating eye or peripheral locus in the deviating eye directed in the same direction as the fovea of the fixating eye.24 If suppression is total, the exotropia may not provide an effective field expansion for patients with hemianopia, as the potentially expanded field is suppressed. If suppression is partial, there may be some field expansion peripherally but not centrally.20 We are not aware of any reports of measured suppression either total or central, as an adaptation in hemianopia with strabismus or with prismatic correction for hemianopia.

ARC is a sensory adaptation wherein the correspondence of the two eyes gets remapped in such a way that a nonfoveal region in the deviating eye has the same visual direction as the fovea of the fixating eye, thus angle of remapping is equal to the angle of the deviation12,25 enabling the fixated object to be perceived single, despite the strabismus. This results in harmonious ARC (HARC). HARC eliminates both diplopia and confusion (but provides only poor stereopsis).26 If the exotropia is accompanied by HARC in patients with hemianopia the panoramic visual field expansion is considered to be fully functional and provides veridical visual direction across the whole field, including the expanded field. The adaptation may be a combination of suppression and HARC. If central suppression is to be combined with HARC only peripherally the adaptation may be of intermediate benefit, less effective than full field HARC but more functional than central suppression without HARC.

Torsion or cyclorotation is the rotation of the eye around its visual axis.2731 Torsion without a known cause is called anatomic torsion.32 Torsional strabismus frequently goes unnoticed, especially when congenital. This is because of patients' lack of reporting symptoms of torsional diplopia presumed to be due to sensory-motor adaptations.28 Detection of anatomic torsion depends mainly on objective measurement by indirect ophthalmoscopy, fundus photography, or perimetry (relative rotational shift between the physiological blind spot and the fovea).28,32,33 With fundus imaging and with conventional perimeters, torsion can only be measured monocularly. Thus, it may represent cyclophoria that should disappear under binocular viewing condition. Cyclophoria should result in perceived relative rotation of the two eyes' images under dissociated binocular condition (i.e., in the synoptophore or using the double Maddox rod test). In torsional strabismus or cyclotropia, the eyes will remain counter rotated under binocular viewing condition. This should result in constant torsional diplopia (as happens with acquired torsional strabismus) or single binocular vision under either full suppression or torsional HARC, a phenomenon demonstrated here.

Hemianopia in a patient with torsional strabismus provides an opportunity to record the cyclorotated visual fields (counter rotated vertical meridians) under both monocular and binocular perimetry along with the rotated blind spot of one eye in monocular perimetry (Fig. 2). Torsional strabismus in conjunction with hemianopia also provides field expansion. For a right hemianopia with intorsion, a superior field expansion results from the left eye's intorsion, whereas the right eye contributes a field expansion inferiorly (Fig. 2A). The field expansion effects due to both lateral and torsional deviation add up providing a wider overall field expansion (Fig. 2B, C). In the presence of HARC, such expansion would be most useful. Functional field expansion due to torsional deviation has not been reported before.

In the presence of strabismus, the monocular and binocular visual fields could differ considerably. If a visual field expansion is recorded under binocular conditions, it is difficult to ascertain whether the fixating or the deviating eye (in the absence of suppression) detected the target. With a dichoptic perimeter, the patient can be provided with a binocular fixation target (or even a complex background seen binocularly), whereas the monocular visual fields are measured with dichoptic stimuli.34,35 We used our dichoptic perimeter (mentioned in Methods) to investigate the retinal correspondence and visual fields of patients with homonymous hemianopia and strabismus.

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A 44 year-old man (subject 1) had presumed congenital right homonymous hemianopia detected at age 12 years with the onset of seizures. The field loss in this subject was presumed to be due to a stroke in infancy. Subject also reported that he had a “weak” right eye and was prescribed patching of the left eye in early childhood. He drives occasionally and does not have any complaints about mobility. This subject was seen in our laboratory to participate in a study evaluating the effect of peripheral prisms.36

A 56-year-old woman (subject 2) with acquired left homonymous hemianopia and a 46-year-old man (subject 3) with normal binocular vision, full visual fields, and no systemic health problem were recruited as control subjects. Vision measurements for the three subjects are summarized in Table 1.

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Measuring Torsion from Retinal Images

The Nidek MP-1 Micro Perimeter (Nidek Technologies, Vigonza, Italy) was used to measure eye fixation and obtain retinal photos, whereas the subjects fixated on a white 2° cross. The retinal photo was used to measure the positional relationship between the optic nerve head and the fovea. Torsional magnitude can be calculated by anchoring the optic disc and measuring the rotated foveal position.32,37 Since visual field testing is centered on the foveal fixation, we chose to calculate the rotation of the optic disc around the fovea. A custom program (Matlab R2007b, The MathWorks Inc., MA) developed in our laboratory38 was used to estimate the optic disc center. The average distance from the optic disc to the fovea is 15.1° horizontally and 2° vertically above the fovea.39 The angle between the observed optic disc center and the calculated optic disc center gives the measure of torsional movement (Fig. 3). When the eye is intorted, the optic disc is situated below the fovea (corresponding to superior location of the blind spot in the visual field).

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Visual Fields

Monocular and binocular visual fields were measured kinetically with Goldmann perimeter (V4e) and dichoptic visual fields (DVFs) system. The DVF is a custom perimeter34 that allows presentation of different perimetric stimuli to each eye independently under binocular (or monocular) fixation conditions using a liquid crystal shutter goggles.

The ferroelectric liquid crystal shutter goggles permit about 60° diameter of visual field to be tested with the DVF. The subject fixated on a 1.2° central fixation cross seen binocularly and was instructed to press a button when a 1.2° square target seen only monocularly was detected.

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Mapping Retinal Correspondence

Perceived visual directions were mapped over the central 50° diameter of the visual field (pericentral field) by modifying the DVF. A fixation target (1.2° cross centered inside a 3° box) was presented on a gray background (Fig. 4). A 3° open square frame was presented in 1 of 16 preselected peripheral positions. The fixation target and the open frame were always viewed by the same eye(s). A 1.2° filled square target was moved with the computer mouse by the examiner as directed by the subject verbally until the subject perceived the square target to be aligned to the center of the open frame. The visibility of the square target was different in three conditions described later in the text. Subjects were instructed to fixate on the cross at all times. To ensure accurate fixation, eye movements of subject 1 were monitored with an infra-red camera (Supercircuit, PC6 × 3, 16 mm). Eye movements were not monitored for the control subjects but their failure to detect targets shown in the blind spot and in the blind hemifield confirmed accurate fixation.

Three test conditions were used to map retinal correspondence:

1. Primary deviation: Fixation target and open frame were viewed by the dominant/nondeviating eye, and the square target was presented to the nondominant/deviating eye. The dominant eye for the subjects was selected using the sighting dominance test (Table 1).

2. Secondary deviation: Fixation target and open frame were viewed by the nondominant/deviating eye, and the square target was presented to the dominant/nondeviating eye.

3. Binocular viewing: Fixation target, open frame, and the square target were all viewed by both eyes. This simulated the natural viewing conditions.

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All the subjects had stable foveal fixation measured with the Nidek MP-1. HARC was noted for Subject 1 with the Bagolini lens test (crossing of the lines (“X”) at the center of the light, subject reported intermittent fading of the right eye line). Prism neutralization of the right exotropia (cover test measured) resulted in reported uncrossed diplopia, supporting the diagnosis of ARC. Subject 1 also had intorsion (13.5° in the right eye and 12.7° in the left eye) measured from the retinal photos (shown for the left eye in Fig. 3). Intorsion for this subject was also evident from the visual field plots, by the superiorly rotated physiological blind spot of the left eye in both monocular fixation (Fig. 5) and binocular viewing (Fig. 6). Torsional rotation of the eyes for the two control subjects (Table 1) was well within the established physiological variability (≤9°per eye).32

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Visual Fields

The binocular Goldmann fields and the monocular plots under binocular viewing conditions measured with the DVF system are shown in Figs. 6 to 8. For subject 1 (Fig. 6), Goldmann binocular visual field with the dominant left eye fixating shows what appears to be an incomplete right hemianopia with about 5° residual in the central visual field and up to 25° residual in the inferior field. The corresponding monocular DVF plot under the same binocular fixation shows a 5° lateral expansion from the right eye and that the superior and inferior field to the right of the midline is actually expansion resulting from the intorsion of the left eye and right eye, respectively. Intorsion also causes the blind spot to rotate superiorly (10.5°), as can be seen in the left eye visual field plot (see online supplementary material for more visual field discussion). The blind spot for the control subjects (Figs. 7 and 8) were found at the expected physiological position (the temporally shifted blindspot in the right eye for subject 2 (Fig. 7) corresponds with the exotropia).

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Retinal Correspondence

All the three subjects were able to perform the visual directions mapping task (Fig. 9). Subject 1 closely aligned the square target to the center of the open frame in the seeing field in all the three test conditions. This demonstrates HARC that compensated for horizontal, vertical, and torsional deviations across the tested field. The right eye repeatedly saw one target in the right inferior field (along the 290° meridian at eccentricity of about 25°) consistent with the Goldmann and DVF visual field plot of the right eye. A target presented close to the blind spot in the left eye was seen by the left eye and aligned by the subject. The subject reported this target to fade at times, but he was able to see it most of the time. This could have resulted from small fixational eye movements.

Both the control subjects showed normal retinal correspondence. The exotropic state of the eye was manifested in Subject 2 under dissociated conditions (monocular viewing) across the whole field. Note that this results in a field expansion but with erroneously perceived visual directions. This subject reported the fixation cross to appear double intermittently in the binocular viewing conditions. Retinal correspondence was mapped only when the fixation cross appeared single in the binocular viewing condition. The subject found it tiring to do the binocular viewing condition, as it forced fusion to be maintained. The subject was unable to perform the task for certain targets in the pericentral region under the binocular fixation condition. When maintaining fusion, the targets were more closely aligned. Subject 3 had the targets all closely aligned in all the three conditions.

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The prior cases of reported exotropia in homonymous hemianopia69,11 had larger magnitudes of exotropia (≥20Δ or about 10°) than subject 1 (10Δ), who only had about 5° lateral expansion of his visual field. However, the presence of modest torsional strabismus increased the binocular visual field to a much greater extent. Due to incyclotropia, this subject had a greater inferior (about 18°) and superior (about 15°) visual field expansion, as expected (Fig. 2B). This field expansion was repeatable (Appendix, available at, and with stable fixation documented for this subject, it cannot be attributed to measurement noise from eye movements.40 The magnitude of the field expansion is substantial in considering that legal blindness due to field loss is declared only when the residual field is below 20° in diameter (10° on each side of the vertical meridian).41 The presence of inferior visual field expansion is particularly useful for mobility.42 In addition, presence of HARC eliminated torsional (as well as lateral and vertical) diplopia and visual confusion in the residual visual field. Torsional strabismus should be suspected when there is a combination of both horizontal and vertical strabismus.28,37

ARC is commonly found in esotropia.43,44 However, exotropia that develops at a younger age in patients with hemianopia is frequently associated with ARC6,7,9 (The Iwashige et al.8 study was published in Japanese, and we are unable to confirm that their patients had exotropia at a younger age. Since their subjects had ARC, it can be assumed they did). Congenital or early childhood hemianopia with absence of strabismus is also reported in the literature.45 Although it is unclear whether strabismus is actually developed as a compensatory mechanism for the field loss,10,15 it is clear that strabismus in conjunction with HARC is advantageous for congenital or early childhood hemianopia. Unfortunately, it has not been proved possible to induce lateral strabismus with HARC in adult onset of hemianopia. Peli19 proposed a peripheral prism device that effectively induced “peripheral exotropia” as a treatment for such patients. The technique has been found to be successful and provides expanded field shown to aid in obstacle detection.36,46,47 However, an HARC-like adaptation to the peripheral prism postulated by Peli19 has not been seen.20

Torsional HARC is interpreted clinically from mere absence of torsional diplopia in the presence of monocularly measured torsion.28 Lack of complaints of torsional diplopia could be because of torsional motor fusion or from the masking by large horizontal or vertical deviations that might interfere with the patient's ability to perceive torsional diplopia.27 However, it is also possible that HARC could develop with torsional strabismus because distances between corresponding directions on both retinas increases gradually with retinal eccentricity in conjunction with the increase in Panum's fusional areas.48 This suggests that if torsional strabismus can be induced in adult onset hemianopes either surgically or optically, it could provide much better field expansion, particularly the lower field needed for safe mobility as well as the overhead field protecting from obstacles such as tree branches. With better directional adaptation possibly with HARC-like adaptation, such a field expansion would be beneficial. Optical rotation is currently possible with either Dove prisms, which in addition to rotation also invert the image and are too large and heavy to be used in spectacle lenses, or with twisted fiber optic bundle used in night vision devices, which is also not suitable for this application. It may be possible to create an image-rotating lens using some novel optical techniques (and a lens of that sort may provide an improved approach to optical correction for hemianopia). Such lens may be restricted to the periphery, as in the Peli peripheral prisms,19 maintaining central single binocular vision but increasing field expansion with eccentricity. The image rotation may be introduced gradually, thus facilitating more tolerable cyclofusion in the larger peripheral Panum's area, as the development of ARC in adults are not documented. Testing of this concept may be initiated using a binocular head-mounted display in which the image in one eye is rotated computationally. Such a device would make it possible to determine the viability of the concept, and if successful, motivate efforts to develop the required optical elements.

ARC is more easily observed in testing conditions that closely resemble real-world targets or natural viewing tests such as Bagolini striated glasses, when compared with other dissociating tests such as the Worth four-dot test.44,49 The DVF system used in this study can provide a natural viewing state as well as dissociated conditions in the same instrument and with the same targets. In the present study, we did not use real-world images with the DVF resulting in a dissociated (or weakly associated) conditions. The presence of ARC under this condition is a stronger indication of HARC as seen in subject 1.

Retinal correspondence has been reported to vary between the central and peripheral visual fields on some strabismic patients50 without any visual field defects. One study noted the correspondence to be normal centrally and more anomalous in the peripheral visual field,51 whereas another study reported the opposite findings.52 With the DVF system we found that subject 1 maintained HARC both centrally and pericentrally (within the tested 50° visual field diameter) and under both primary and secondary deviations. Invariant level of HARC would be more useful as an adaptation for hemianopia. We believe that our method of direct measure of visual directions at different eccentricities provides a better estimate for retinal correspondence.

Lateral and vertical strabismus is manifested only in binocular viewing. Under monocular viewing, each eye takes up foveal fixation even with ARC (except in some paretic strabismus and eccentric fixation conditions). The difference in the strabismic eye position between monocular and binocular viewing (i.e., cover-uncover test) establishes the diagnosis (i.e., phoria/tropia). In purely torsional deviation (phoria/tropia), the eye's torsional movement is much harder to detect with direct observation under cover-uncover test. Most objective tests such as fundus photography indirect ophthalmoscopy and blind spot perimetry for measuring torsion are essentially monocular. The double Maddox rod subjective test though viewed with both eyes dissociates binocular vision (in particular torsional fusion) and does not differentiate between a phoria and a tropia, similar to regular Maddox rod test for lateral and vertical deviation. Torsional rotation only under dissociated condition is indicative of cyclophoria and lack of diplopia under associated condition could result from torsional fusion (cyclofusion). The presence of homonymous hemianopia as in our subject 1 enables documentation with the DVF of the rotation of the vertical meridian (as well as the physiological scotoma's rotation) under associated binocular fixation, thus establishing the torsion to be tropic. Such observation is not possible in standard perimetry without hemianopia. Further, the standard perimetry is only weakly binocularly associated in regard to torsion as the central fixation target while providing a sound fusional stimulus for lateral/vertical phoria provides minimal stimulus for torsional phoria. Additional peripheral targets are necessary to facilitate torsional fusion. With dichoptic perimetry system, rotation of the physiological blind spot can be measured (without hemianopia) and compared under both monocular (not shown) and binocular fixation conditions (Fig. 6). The DVF can also present visually rich background for the perimetry that can serve as stimulus for torsional fusion. This enables differentiation of the torsional posture under associated and dissociated binocular conditions (with a tropic eye remaining in the torsional position under both conditions). Thus, a dichoptic perimeter with the capabilities of the DVF provides a unique testing environment for a more complete evaluation of torsion and of torsional HARC. In our patient, despite the less optimal blank background, HARC was demonstrated indicating a stronger adaptation.

To our knowledge, this is the first reported torsional HARC in a patient with homonymous hemianopia.

Eli Peli

Schepens Eye Research Institute

20 Staniford Street

Boston, MA 02114-2500


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Supported in part by NIH grants EY07957 and EY12890 and P30EY003790. Henry Apfelbaum helped prepare the illustrations.

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The appendix is available online at

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cyclotropia; exotropia; low vision; field loss; abnormal retinal correspondence

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