The perception of verticality and the frame of reference of the visual tilt aftereffect

Previous research has suggested that the visual tilt aftereffect operates according to a gravitational frame of reference. Three experiments were conducted to test this conclusion further. In each experiment, observers (with head upright) adjusted an illuminated bar to apparent vertical following various adaptation conditions. In Experiment 1, observers were given clear visual cues for objective vertical while adjusting the bar. In Experiment 2, they were not given visual cues for vertical. The adaptation conditions in Experiments 1 and 2 consisted of various combinations of head and stimulus tilt. Experiment 3 investigated the effects of head tilt alone. The results indicated that the tilt aftereffect follows a retinal frame of reference under some conditions (Experiment 1) and appears to follow a gravitational frame under others (Experiment 2). These results can be predicted by a simple model involving two factors, a purely visual aftereffect that follows a retinal frame and an extravisual aftereffect that appears to follow a gravitational frame.     

Mental rotation under head tilt: Factors influencing the location of the subjective reference frame

We report five experiments on the effect of head tilt on the mental rotation of patterns to the “upright.” In Experiment 1, subjects rotated alphanumeric characters, displayed within a circular surround. Experiment 2 was similar except that the character was an unfamiliar letter-like symbol. In Experiment 3, subjects again rotated alphanumeric characters, but they were displayed within a rectangular frame tilted 60° to the right. Experiment 4 was similar, except that the subjects were instructed to rotate the characters to the “upright” defined by the tilted frame. In all four experiments, the subjects performed the task with their heads either upright or tilted 60°. In Experiment 5, subjects had their heads and bodies tilted 90°, and rotated alphanumeric characters displayed within a circular surround. In all except Experiment 4, analysis of response latencies revealed that the subjective vertical lay closer to the gravitational than to the retinal vertical, although it was somewhat displaced in the direction of the head tilt—more so in Experiments 2 and 3 than in Experiment 1, and more so still in Experiment 5. In Experiment 4, instructions to adopt the axes of the frame land thus of the retina) succeeded in bringing the subjective vertical closer to the retinal than to the gravitational vertical, although the subjective vertical was still some 20° on average from the gravitational vertical. The results show that the subjective reference frame is distinct from both gravitational and the retinal frames, and that the gravitational frame exerts the stronger influence. They also argue against the primacy of a “retinal factor” in the perception of orientation.     

The role of frame size on vertical and horizontal observers in the rod-and-frame illusion.

The rod-and-frame illusion was used to examine a proposed distinction between the mechanism responsible for frame effects on rod-adjustment errors with large displays and the mechanism responsible for errors with small displays. It was suggested that visual-vestibular mechanisms are involved only when the rod is surrounded by a large tilted frame. Errors in the perceived vertical with small frame would instead be due to purely visual mechanisms. To examine this dual process model, we compared errors at small and large frame when the body was vertical or horizontal. There is evidence to suggest that tilting the body affects visual-vestibular interactions, but there is no reason to expect that body tilt would affect intravisual interactions. Hence, we hypothesized that body tilt would increase errors for large frame, but not for small frame. Eight subjects were tested in four different conditions, corresponding to the combination of two body orientations (vertical versus horizontal) and two frame sizes (47.5 versus 10.5 deg of visual angle). Fourier analysis of data was performed. Repeated measures ANOVA tested the hypothesis about frame size and body orientation. The hypothesis was not confirmed. More specifically, we found that tilting the body increased errors for the small frame as well as for the large frame. The interaction between frame size and body orientation was not significant. Results are discussed in relation to the proposed dual-process model.     

Theangular function of arod-and-frame illusion

It was predicted that vertical settings of a rod surrounded by a square frame would be in error in the direction of the frame axis closest to true vertical as the frame varied in tilt. Results were in accord with this hypothesis. The implications of the results are discussed.     

The role of cognitive factors in the rod-and-frame effect

We compared the contribution and the effectiveness of modulating the orientation perception of two types of visual information: the visual frame and the visual polarity of objects. In experiment 1, we examined the effect of a square frame, a mouse, an elephant, and a map of France on the apparent vertical. In the upright position, despite the presence of tilted individual component features, the visual objects had no illusory visual tilt effects. When tilted, these objects had a substantial effect on the direction that appeared to be vertical. However, rod-setting errors were smaller in the inducing objects than when observed with the frame display. In the second experiment, the results of experiment 1 were replicated with a meaningful circular contour--a porthole and a clock. The presence of the external circular contour did not abolish the illusion on the apparent vertical. Moreover, in experiment 3, a clock whose numbers were displaced and not tilted--to avoid the possible tilt influence of visual cues--was also able to deflect the subjective visual vertical. This finding suggests that through top-down processing shapes can act as a framework which serves as a reference influencing the perceived orientation of the inner objects.     

Reference frames and haptic perception of orientation: Body and head tilt effects on the oblique effect

The aim of this study was to examine the effect of body and head tilts on the haptic oblique effect. This effect reflects the more accurate processing of vertical and horizontal orientations, relative to oblique orientations. Body or head tilts lead to a mismatch between egocentric and gravitational axes and indicate whether the haptic oblique effect is defined in an egocentric or a gravitational reference frame. The ability to reproduce principal (vertical and horizontal) and oblique orientations was studied in upright and tilted postures. Moreover, by controlling the deviation of the haptic subjective vertical provoked by postural tilt, the possible role of a subjective gravitational reference frame was tested. Results showed that the haptic reproduction of orientations was strongly affected by both the position of the body (Experiment 1) and the position of the head (Experiment 2). In particular, the classical haptic oblique effect observed in the upright posture disappeared in tilted conditions, mainly because of a decrease in the accuracy of the vertical and horizontal settings. The subjective vertical appeared to be the orientation reproduced the most accurately. These results suggest that the haptic oblique effect is not purely gravitationally or egocentrically defined but, rather, depends on a subjective gravitational reference frame that is tilted in a direction opposite to that of the head in tilted postures (Experiment 3).     

Reference frames and haptic perception of orientation: body and head tilt effects on the oblique effect.

The aim of this study was to examine the effect of body and head tilts on the haptic oblique effect. This effect reflects the more accurate processing of vertical and horizontal orientations, relative to oblique orientations. Body or head tilts lead to a mismatch between egocentric and gravitational axes and indicate whether the haptic oblique effect is defined in an egocentric or a gravitational reference frame. The ability to reproduce principal (vertical and horizontal) and oblique orientations was studied in upright and tilted postures. Moreover, by controlling the deviation of the haptic subjective vertical provoked by postural tilt, the possible role of a subjective gravitational reference frame was tested. Results showed that the haptic reproduction of orientations was strongly affected by both the position of the body (Experiment 1) and the position of the head (Experiment 2). In particular, the classical haptic oblique effect observed in the upright posture disappeared in tilted conditions, mainly because of a decrease in the accuracy of the vertical and horizontal settings. The subjective vertical appeared to be the orientation reproduced the most accurately. These results suggest that the haptic oblique effect is not purely gravitationally or egocentrically defined but, rather, depends on a subjective gravitational reference frame that is tilted in a direction opposite to that of the head in tilted postures (Experiment 3).     

Large errors in the perception of vertically are generated by luminance borders (integrated across space) not by subjective borders

The rod-and-frame illusion shows large errors in the judgment of visual vertical in the dark if the frame is large and there are no other visible cues (Witkin and Asch, 1948 Journal of Experimental Psychology 38 762-782). Three experiments were performed to investigate other characteristics of the frame critical for generating these large errors. In the first experiment, the illusion produced by an 11 degrees tilted frame made by luminance borders (standard condition) was considerably larger than that produced by a subjective-contour frame. In the second experiment, with a 33 degrees frame tilt, the illusion was in the direction of frame tilt with a luminance-border frame but in the opposite direction in the subjective-contour condition. In the third experiment, to contrast the role of local and global orientation, the sides of the frame were made of short separate luminous segments. The segments could be oriented in the same direction as the frame sides, in the opposite direction, or could be vertical. The orientation of the global frame dominated the illusion while local orientation produced much smaller effects. Overall, to generate a large rod-and-frame illusion in the dark, the tilted frame must have luminance, not subjective, contours. Luminance borders do not need to be continuous: a frame made of sparse segments is also effective. The mechanism responsible for the large orientation illusion is driven by integrators of orientation across large areas, not by figural operators extracting shape orientation in the absence of oriented contours.     

Instructions and the magnitude of an illusion: Cognitive factors in the frame of reference

Ss judged the length of a horizontal line having vertical lines at the ends and a vertical line crossing at the middle. As has often been shown, judgments of the horizontal line varied inversely with the length of the vertical segments. One group of Ss were told to use the end lines as frame of reference and ignore the center line, and the estimated weights of end and center line were .22 and .02. The other group were told to ignore the end lines and use the center line as frame of reference. The weights of end and center line for this group were .06 and .22. It was concluded that the Helson AI. equations are valid, but that the weights of parts of the field are partly under voluntary control and are not simply a function of the visual field.     

The rod-and-frame effect: the whole is less than the sum of its parts

Since the discovery of the influence of the tilted frame on the visual perception of the orientation perceived as vertical (VPV), the frame has been treated as a unitary object-a Gestalt. We evaluated the effect of 1-line, 2-line, 3-line, and 4-line (square frame) stimuli of two different sizes, and asked whether the influence of the square frame on VPV is any greater than the additive combination of separate influences produced by the individual lines constituting the frame. We found that, for each size, the square frame is considerably less influential than the additive combination of the influences of the individual lines. The results conform to a mass action rule, in which the lengths and orientations of the individual line components are what matters and the organization of the lines into a square does not-no higher-level Gestalt property is involved in the induction effect on VPV.     

The role of contextual cues in the haptic perception of orientations and the oblique effect

Blindfolded right-handed participants were asked to position, with the right hand, a frontoparallel rod to one of three orientations: vertical (0°) and left 45° and right 45° obliques. Simultaneously, three different backgrounds were explored with the left hand: smooth, congruent stripes (parallel to the orientation to be produced), or incongruent stripes (tilted relative to the orientation to be produced). The analysis of variable errors showed that the oblique effect (higher precision for the vertical orientation than for the oblique orientations) was weakened in the presence of contextual cues, because of an improvement in oblique precision. Moreover, the analysis of constant errors revealed that the perception of orientations erred in the direction of the stripes, similar to the effect that has been found with vision, where visual contextual cues (tilted frame or lines) divert the perception of the vertical. These results are discussed in relation to a patterncentric frame of reference hypothesis or as a congruency effect.     

Motion capture of stationary lines by apparently moving terminators

Several studies and observations of a new form of motion capture are reported: frames containing identical rows of evenly spaced vertical lines are alternated in a standard apparent-motion paradigm. However, one vertical line in the first frame has short horizontal 'terminators' attached; the terminators are shifted to a different line in the second frame. Alternation that includes an unpatterned, nonzero interstimulus interval results in perceived motion of a vertical line along with the terminators. This motion can 'cross over' other stationary vertical lines and persists when light-filled interstimulus intervals and gaps between lines and terminators are introduced. It can also be obtained with different line sizes and spacings. The present motion capture does not appear to rely on a global-frame effect. Alternative explanations are considered.     

Viewer-external frames of reference in the mental transformation of 3-D objects

Most models of object recognition and mental rotation are based on the matching of an object's 2-D view with representations of the object stored in memory. They propose that a time-consuming normalization process compensates for any difference in viewpoint between the 2-D percept and the stored representation. Our experiment shows that such normalization is less time consuming when it has to compensate for disorientations around the vertical than around the horizontal axis of rotation. By decoupling the different possible reference frames, we demonstrate that this anisotropy of the normalization process is defined not with respect to the retinal frame of reference, but, rather, according to the gravitational or the visuocontextual frame of reference. Our results suggest that the visual system may call upon both the gravitational vertical and the visuocontext to serve as the frame of reference with respect to which 3-D objects are gauged in internal object transformations.     

Modulation of the rod and frame effect: Retinal angle vs apparent size

Summary Two rod and frame displays, constructed in a 3:1 linear ratio, were used to assess the apparent vertical. When viewed at the common distance of 1.5 m, the larger-appearing frame also produced the greater retinal angle. With the small frame at .5 m and the large one at 4.5 m, the smaller-appearing frame produced the greater retinal angle. In both cases the rod and frame effect increased with increasing retinal size, rather than with the apparent size of the frame.This research was supported by NIH Grant EY 02264 from the National Eye Institute to the first author.     

Body tilt effect on the reproduction of orientations: studies on the visual oblique effect and subjective orientations

Body tilt effects on the visual reproduction of orientations and the Class 2 oblique effect (E. A. Essock, 1980) were examined. Body tilts indicate whether the oblique effect (i.e., lower performance in oblique orientations than in vertical-horizontal orientations) is defined in an egocentric or a gravitational reference frame. Results showed that the oblique effect observed in upright posture disappeared in tilted conditions, mainly due to a decrease in the precision of the vertical and horizontal settings. In tilted conditions, the subjective visual vertical proved to be the orientation reproduced the most precisely. Thus, the oblique effect seemed to be not purely gravitationally or egocentrically defined but, rather, to depend on a subjective gravitational reference frame tilted in the same direction as body tilts.     

Between National Models and Multi-Level Decoupling: The Pursuit of Multi-Level Governance in Dutch and UK Policies Towards Migrant Incorporation

Although attention to the local level of integration policymaking has increased recently, thus far, very few studies have focused on vertical ‘multi-level’ relations between policy levels and the implications these have for integration policies. This article asks how and why different configurations of relations between national and local governments affect the governance of migrant integration. To what extent, and if so, why do vertical relations trigger frame alignment or rather divergence? Following an embedded dissimilar case study design, the analysis focuses on the UK and the Netherlands as two countries with dissimilar governance structures in the field of integration, and two cities within each country that are known for their different integration approaches: London (boroughs Tower Hamlets and Enfield) and Glasgow and Rotterdam and Amsterdam. The analysis shows that there are no top-down coordination mechanisms that create frame alignment as conceptualized in the idea of national models. Yet, frame alignment does take place in the UK in particular around ad hoc multi-level governance initiatives, while at the same time leaving significant space for adaptation of frames to local circumstances. In the Netherlands, the absence of such vertical relations leads to frame divergence or even decoupling, occasionally resulting in frame conflicts and contradictory policies.     

A signal detection analysis of the rod and frame test

To help determine hut what Witkin’s Rod and Frame Test measures, the task was modified by presenting the luminous rod in one of two fixed positions, either vertical or not vertical, within a titled frame. S responded on a four-category scale representing his certainty that the rod was vertical Receiver operating characteristic (ROC) curves were calculated for each of 17 Ss and compared to traditional measures of titer field dependence-independence. The results showed that Witkin’s test is not contaminated to any great extent by response bias. However, the ROC analysis did reveal significant differences between field dependents and independents, not only in their sensitivity to verticality, but also in their- characteristic manner of responding.     

The influence of the acoustic context on vertical sound localization in the median plane

The influence of background sounds (frames) on vertical localization of single sound sources (targets) was examined in four experiments. Loudspeakers (five targets and four frames) were positioned in the median plane, ranging from +30 degrees to -30 degrees above and below the subject's ear level. The subjects determined the vertical position of the targets by either verbal judgments or manual pointing. Frame and target sounds were presented concurrently or successively with a 1-sec interval; both consisted of (1) 300-Hz square waves, (2) noise, or (3) targets of noise and frames of 300-Hz square waves. Particularly in the second condition, the subjects consistently shifted the apparent target positions away from the frame locations. This contrast effect persisted even 1 sec after the offset of the frames. No effect was found with different waveforms for the frame and the target. Results are related to recent findings indicating a similar effect in the azimuthal dimension. Possibly the effect is based on a mechanism in which the auditory system adapts to recently heard sound source positions.     

Frame effects in visual search for line orientation

In the present study, we investigated the effects of surrounding frames on visual search for line orientation. Every line item presented in the display was surrounded by a square frame of identical size and orientation. The orientations of the frames, as well as those of the target and distractor lines, were either vertical or tilted. In six experiments, the surrounding frames caused substantial changes in search efficiency for vertical targets and for tilted targets. The search asymmetry between the two types of targets was reversed when the frame was tilted at the same angle as the tilted line. Several variations of the frames (a pair of parallel lines, squares with gaps, and squares with circular contours inside) also changed search efficiency significantly. Taken together, these results imply that three different sources contribute to frame effects: distractor roles played by the frame components, orientation contrast from the frame contour, and interference in local orientation processing (Hayward & Burke, 2000). Implications of the present findings are discussed in reference to rod-and-frame effects (Witkin & Asch, 1948) and to the effects of a large frame surrounding an entire display of lines (Marendaz, 1998; Treisman, 1985).