The coding and transformation of spatial information

The present paper examines the mental processes involved in inferring perspective changes that result either from the rotation of a spatial array or from the rotation of the viewer of that array. Piaget has shown that viewer-rotation problems are difficult when children must choose among pictures or models of an array from differing perspectives. We showed earlier that, with parallel tasks, array-rotation problems are much easier than viewer-rotation problems. We proposed that in solving these problems, subjects interpret the instructions literally, recoding the position of the viewer vis-à-vis the array for viewer-rotation problems and recoding the array with respect to its spatial framework for arrayrotation problems. At that time, we proposed a second principle to explain why Piagetian perspective problems are so difficult; namely, that children have special difficulty in recoding viewer position (egocentrism). The present experiments show that, when subjects are asked a different sort of question on such tasks, viewer-rotation problems become easy and array-rotation problems become difficult. The results show that the difficulty of the Piagetian perspective task is not due to egocentrism; i.e., to difficulty recoding viewer position. The results of all these rotational-transformation tasks can be explained if we add a different second principle to the principle of literalness of problem interpretation. This new second principle posits that the array is fixed vis-à-vis the spatial context rather than that the viewer is fixed vis-à-vis the array.     

Modes of spatial coding in the Simon task*

Many models of the Simon effect assume that categorical spatial representations underlie the phenomenon. The present study tested this assumption explicitly in two experiments, both of which involved eight possible spatial positions of imperative stimuli arranged horizontally on the screen. In Experiment 1, the eight stimulus locations were marked with eight square boxes that appeared at the same time during a trial. Results showed gradually increasing Simon effects from the central locations to the outer locations. In Experiment 2, the eight stimulus locations consisted of a combination of three frames of spatial reference (hemispace, hemifield, and position relative to the fixation), with each frame appearing in different timings. In contrast to Experiment 1, results showed an oscillating pattern of the Simon effect across the horizontal positions. These findings are discussed in terms of grouping factors involved in the Simon task. The locations seem to be coded as a single continuous dimension when all are visible at once as in Experiment 1, but they are represented as a combination of the lateral categories (“left” vs. “right”) with multiple frames of reference when the reference frames are presented successively as in Experiment 2.     

Hierarchical coding in the perception and memory of spatial layouts

Two experiments were performed to investigate the organization of spatial information in perception and memory. Participants were confronted with map-like configurations of objects which were grouped by color (Experiment 1) or shape (Experiment 2) so as to induce cognitive clustering. Two tasks were administered: speeded verification of spatial relations between objects and unspeeded estimation of the Euclidean distance between object pairs. In both experiments, verification times, but not distance estimations, were affected by group membership. Spatial relations of objects belonging to the same color or shape group were verified faster than those of objects from different groups, even if the spatial distance was identical. These results did not depend on whether judgments were based on perceptually available or memorized information, suggesting that perceptual, not memory processes were responsible for the formation of cognitive clusters. Received: 7 October 1999 / Accepted: 17 February 2000     

An analogy between colour and spatial coding

The early stages of colour coding are well established in that the trichromatic receptor stage is followed by a set of opponent colour channels. One interpretation of the sequence is that opponent channels carry unrelated aspects of the colour stimulus, unlike the cone channels. The overlap of the cone channels can be removed by decorrelating their spectral-sensitivity functions, and this procedure has been found to give opponent colour channels which match those found psychophysically. Since the known spatial-frequency channels also show considerable overlap, the question arises which aspects of the spatial stimulus are captured by decorrelating the spatial-frequency channels. The results of decorrelating the spatial-frequency channels are that the first decorrelated spatial filter acts as a broad bandpass filter which has a peak sensitivity at 7.9 cycles deg-1, and that the second decorrelated spatial filter acts as an opponent spatial-frequency channel, with a minimum output at a low (4.1 cycles deg-1) spatial frequency and a maximum output at a high (15.1 cycles deg-1) spatial frequency. The characteristics of the first decorrelated filter closely resemble the properties of the foveal perceptive field which have been used to explain the Hermann grid illusion. Thus, the decorrelation analysis produces a model for the functional organisation of the channel implementation at the neural and psychophysical levels, but which directly relates to the subjective appearance of the visual stimuli.     

Eye movements and spatial coding in reading

Summary Two experiments are reported which test the hypothesis that during reading subjects maintain in working memory a record of the spatial location of items and that this code is used to guide reinspections. In the first experiment the premisses of short syllogisms were read, one word at a time, under three presentation conditions: (a) in correct temporal order and in appropriate sequential spatial locations; (b) in correct temporal order but in random spatial locations; (c) in correct temporal order and in a single central location. A measure was taken of the time to respond to possible conclusions of the syllogisms. Solution times were longer in conditions (b) and (c) relative to (a). In the second experiment eye movements were recorded as subjects judged the soundness of auditorily presented conclusions following visual presentation of the premisses of syllogisms. Non-random eye movements took place during the solution phase directed to locations previously occupied by text in the display.     

Breakdown of spatial parallel coding in children's drawing

When drawing real scenes or copying simple geometric figures young children are highly sensitive to parallel cues and use them effectively. However, this sensitivity can break down in surprisingly simple tasks such as copying a single line where robust directional errors occur despite the presence of parallel cues. Before we can conclude that this directional bias is a limiting case it needs to be shown that any given parallel cues are indeed being processed. We achieved this by using a texture-defined contour where parallel cues are integral to the stimulus and thus cannot be ignored. Here we report that even when prolific parallel cues must have been processed, young children make robust directional errors when copying single lines. This finding demonstrates a major constraint on young children's spatial parallel coding.     

Impairment of gaze-directed spatial coding in recent-onset schizophrenia

Patients with schizophrenia show deficits in core cognitive functions as well as in social cognition. The aim of the present study was to test whether deficits in social cognition influence nonsocial, “cold”, cognition. Thirty-five patients with recent-onset schizophrenia (SC) and 30 healthy controls (HC) performed a Simon task with social and simple geometric stimuli. We investigated whether the Simon effect, the slowing of reaction times produced by stimulus incongruities in the task-irrelevant spatial domain, differs between patients and healthy participants as a function of the social nature of the cues. The Simon effect was generated by a schematic drawing of human eyes (social cues) or rectangles (nonsocial cues). Overall, patients had longer reaction times than HC. In the eye-like condition, the Simon effect was significantly stronger for HC than for SC. In HC the Simon effect was significantly stronger in the eye-like than in the rectangle condition. In patients, the Simon effect did not differ significantly between both conditions. Thus, the influence of social cues was greatly reduced in the patient group. Current psychopathology or antipsychotic treatment did not influence results. The present study supports earlier findings of altered processing of schematic social cues in patients with schizophrenia, especially when gaze is task-irrelevant.     

Bayesian integration of spatial information

Spatial judgments and actions are often based on multiple cues. The authors review a multitude of phenomena on the integration of spatial cues in diverse species to consider how nearly optimally animals combine the cues. Under the banner of Bayesian perception, cues are sometimes combined and weighted in a near optimal fashion. In other instances when cues are combined, how optimal the integration is might be unclear. Only 1 cue may be relied on, or cues may seem to compete with one another. The authors attempt to bring some order to the diversity by taking into account the subjective discrepancy in the dictates of multiple cues. When cues are too discrepant, it may be best to rely on 1 cue source. When cues are not too discrepant, it may be advantageous to combine cues. Such a dual principle provides an extended Bayesian framework for understanding the functional reasons for the integration of spatial cues.     

Visual and verbal coding in the interhemispheric transfer of information

A manual response was used to record a decision of ‘same’ or ‘differ’ on two visual signals which were presented simultaneously, either both to the same hemisphere or each to different hemispheres. The signals were drawn from the set of letters A, B, a, b. Eight subjects were required to match on the basis of the names of the letters (irrespective of whether they were capitals or lower case) and eight subjects were required to match on the basis of the visual identity of the signals.Reaction times were measured for ‘same’ and ‘differ’ decisions.This experiment extends a previous study by the same authors (Davis and Schmit 1971). The previous finding, that when two signals are presented each to different hemispheres, reaction times are shorter than when both are presented to the same hemisphere, was confirmed for both visual and name matching. New evidence is provided on the role of each hemisphere in the analysis and comparison of signals, on either a visual or a verbal basis, for ‘same’ and ‘differ’ decisions. A model to explain the results in terms of the different functions of the two hemispheres is proposed.     

Algorithms for processing spatial information

Pairs of stimuli taken from a psychometric measure of spatial aptitude were shown to 9-year-olds, 13-year-olds, and adults. The stimuli in pairs were (a) either identical or mirror images, and (b) presented in orientations that differed by 0-150 degrees. Individuals judged, as rapidly as possible, if the stimuli in a pair would be identical or mirror images if presented at the same orientation. In Experiment 1, in which the stimuli were letter-like characters, at all ages most persons solved the problems using an algorithm in which an individual encodes the stimuli in working memory, mentally rotates one stimulus to the orientation of the other, compares them to determine if they are identical, and responds. In Experiment 2, the stimuli were multielement flags; here, the modal algorithm for both 9- and 13-year-olds differed from the previously described algorithm in that if the comparison process revealed that the stimuli were dissimilar, individuals did not respond immediately, but continued processing until a self-imposed deadline was reached. Among adults, the modal algorithm was the same one used in Experiment 1. Results are discussed in terms of the roles of encoding in contributing to the use of a particular algorithm.     

Integrating spatial information across experiences

The current study examined the potential influence of existing spatial knowledge on the coding of new spatial information. In the Main experiment, participants learned the locations of five objects before completing a perspective-taking task. Subsequently, they studied the same five objects and five additional objects from a new location before completing a second perspective-taking task. Task performance following the first learning phase was best from perspectives aligned with the learning view. However, following the second learning phase, performance was best from the perspective aligned with the second view. A supplementary manipulation increased the salience of the initial view through environmental structure as well as the number of objects present. Results indicated that the initial learning view was preferred throughout the experiment. The role of assimilation and accommodation mechanisms in spatial memory, and the conditions under which they occur, are discussed.     

Tracking of spatial information in narratives

Three experiments were conducted to investigate the process by which location information in narratives is represented in memory and the nature of the resulting memory representation. In Experiments 1 and 2, the results of a recognition task demonstrated that location shifts led to an immediate decrease in the accessibility in memory of protagonists' former locations. In Experiment 3, regardless of the amount of backgrounding after the last mention of the critical location ("the forest"), reference to an implied, location-typical entity ("the trees") was read equally fast as long as the protagonist remained in that location. In contrast to previous findings, we conclude that when location information is salient in a narrative it is included in readers' situation models, being updated immediately and remaining highly accessible even several sentences after it was last mentioned.     

The functional role of attention for spatial coding in the Simon effect

Summary Two experiments investigated relative spatial coding in the Simon effect. It was hypothesized that relative spatial coding is carried out with reference to the position of the focus of visual attention. The spatial code for an imperative stimulus presented exactly at the position of focal attention should be neutral on the horizontal plane, and therefore no Simon effect should be observed. However, when the imperative stimulus is presented to the left or to the right of the current position of focal attention, the spatial code should not be neutral, thus producing a Simon effect. In both experiments, focal attention was manipulated either by a peripherally presented onset precue (Experiment 1) or by a centrally presented symbolic precue (Experiment 2). Results showed that the Simon effect was substantially reduced in both experiments when a valid precue preceded the imperative stimulus just in time to conclude refocusing of attention to the position of the imperative stimulus before it was presented. However, conditions with neutral precues yielded a normally sized Simon effect. In both experiments, the Simon effect decreased as the SOA grew when the precue was valid. At least for the Simon effect, the results can be interpreted as evidence that relative spatial coding is functionally related to the position of the focus of attention.     

S-R compatibility effects due to context-dependent spatial stimulus coding

Responses are faster with spatial S-R correspondence than with noncorrespondence (spatial compatibility effect), even if stimulus location is irrelevant (Simon effect). In two experiments, we sought to determine whether stimuli located above and below a fixation point are coded as left and right (and thus affect the selection of left and right responses) if the visual context suggests such a coding. So, stimuli appeared on the left or right eye of a face’s image that was tilted by 90° to one side or the other (Experiment 1) or varied between upright and 45° or 90° tilting (Experiment 2). Whether stimulus location was relevant (Experiment 1) or not (Experiment 2), responses were faster with correspondence of (face-based) stimulus location and (egocentrically defined) response location, even if stimulus and response locations varied on physically orthogonal dimensions. This suggests that object-based spatial stimulus codes are formed automatically and thus influence the speed of response selection.     

Embodied representation of the body contains veridical spatial information

In two experiments, the extent to which mental body representations contain spatial information was examined. Participants were asked to compare distances between various body parts. Similar to what happens when people compare distances on a real visual stimulus, they were faster as the distance differences between body parts became larger (Experiment 1), and this effect could not (only) be explained by the crossing of major bodily categories (umbilicus to knee vs. knee to ankle; Experiment 2). In addition, participants also performed simple animate/inanimate verification on a set of nouns. The nouns describing animate items were names of body parts. A spatial priming effect was found: Verification was faster for body part items preceded by body parts in close spatial proximity. This suggests automatic activation of spatial body information. Taken together, results from the distance comparison task and the property verification task showed that mental body representations contain both categorical and more metric spatial information. These findings are further discussed in terms of recent embodied cognition theories.     

Embodied representation of the body contains veridical spatial information

In two experiments, the extent to which mental body representations contain spatial information was examined. Participants were asked to compare distances between various body parts. Similar to what happens when people compare distances on a real visual stimulus, they were faster as the distance differences between body parts became larger (Experiment 1), and this effect could not (only) be explained by the crossing of major bodily categories (umbilicus to knee vs. knee to ankle; Experiment 2). In addition, participants also performed simple animate/inanimate verification on a set of nouns. The nouns describing animate items were names of body parts. A spatial priming effect was found: Verification was faster for body part items preceded by body parts in close spatial proximity. This suggests automatic activation of spatial body information. Taken together, results from the distance comparison task and the property verification task showed that mental body representations contain both categorical and more metric spatial information. These findings are further discussed in terms of recent embodied cognition theories.