Axel Larsen

Visual Transformation of Size.

To investigate human visual identification of different-sized objects as identically shaped, matching reaction times were measured for pairs of simultaneously presented random figures. In three experiments, reaction time for correct reactions to test pairs of figures of the same shape and orientation consistently increased approximately linearly as a function of the linear size ratio of the figures. In the second experiment, where this ratio was defined for control pairs as well as for test pairs, reaction time for correct reactions to control pairs showed a similar increase as a function of size ratio. The results suggest that the task was performed by a gradual process of mental size transformation of one of the members of each pair of figures to the format of the other one.

Size scaling in visual pattern recognition.

Human visual recognition on the basis of shape but regardless of size was investigated by reaction time methods. For successive matching of random figures, reaction time increased linearly with the linear size ratio of stimulus pairs. For single-character classification, reaction time increased with divergence between cued size format and stimulus format such that for character nonrepetitions, the increment in latency was approximately proportional to the logarithm of the linear size ratio of the two formats. However, when reactions to character repetitions were faster than those to nonrepetitions, the repetition reaction time function was similar to that for successive matching of random figures. The results suggested two processes of size scaling: mental-image transformation and perceptual-scale transformation. Image transformation accounted for matching performance based on visual short-term memory, whereas scale transformation accounted for size invariance in recognition based on comparison against visual representations in long-term memory.

Short- and long-range processes in visual apparent movement

SummaryThe minimum stimulus-onset asynchrony required for perception of beta apparent movement was measured with point stimuli separated by visual angles ranging from about 0.1· to 5· and viewing distance as a parameter. For each viewing distance, the threshold for beta movement was a monotonic function of the visual angle with a strong linear increase over angles less than 0.25· (short-range function) and a much weaker linear increase over angles greater than 1.5· (long-range). The short- and long-range functions were differentially affected by increase in viewing distance: the long-range function increased in slope, but the extrapolated zero-intercept was constant; the short-range function changed in intercept, but not in slope. The results provide strong evidence for separate short- and long-range processes in visual motion perception.

Pattern matching: Effects of size ratio, angular difference in orientation, and familiarity

Matching of simultaneously presented patterns with respect to shape regardless of differences in size and orientation was investigated using reaction time methods. When a new pair of unfamiliar random polygons was presented on each trial, matching reaction times in a number of experimental conditions showed strong linear and additive effects of the linear size ratio and the angular difference in orientation between the members of a stimulus pair. However, when the same few random polygons were used over an extended number of trials, the pattern of linear and additive effects degenerated. The results provide a basis for resolving some conflicts in the literature on mental transformations of size and orientation.

Measuring Efficiency of Selection From Briefly Exposed Visual Displays: A Model for Partial Report

In the proposed model for partial report, performance reflects the number of targets in a short-term memory buffer. The total number of items (targets, distractors, or extraneous noise) entering the buffer is independent of the number of targets and distractors in the stimulus. Entrance is determined by selective sampling according to a Luce (1959) ratio rule. The model was tested in a variety of conditions with partial reports based on brightness, color, shape, or alphanumeric class. With three parameters, the model accounted for 99% of the variance with number of targets and number of distractors in data obtained by averaging across conditions. Parameter K (number of items entering the buffer) showed little variation with the selection criterion, and estimates for parameter epsilon (total impact of extraneous noise with impact per target as the unit) were rather small. Estimates for parameter alpha (impact per distractor with impact per target as the unit) varied widely across conditions. Parameter alpha is a measure for the efficiency of selecting targets rather than distractors.

Visual Apparent Movement: Transformations of Size and Orientation

Sequential alternation between same-shaped stimuli differing in size (size ratio s) and orientation (angular difference v) produced a visual illusion of translation in depth and concurrent rotation. The minimum stimulus-onset asynchrony required for the appearance of a rigidly moving object was approximately a linearly increasing function of (s− 1)/(s + 1) for simple translation in depth and a linearly increasing function of v for simple rotation. The extrapolated zero intercept was lower for translation than for rotation, but estimated transformation times were additive in combined transformations. The results suggest that (a) the processes of apparent translation in depth and apparent rotation are individually sequential-additive in structure, and (b) apparent translations and rotations are combined by fine-grained alternation of steps of apparent translation and steps of apparent rotation. Similar principles account for recent data on imagined spatial transformations of visual size and orientation.

Images of Illusory Motion in Primary Visual Cortex

Illusory motion can be generated by successively flashing a stationary visual stimulus in two spatial locations separated by several degrees of visual angle. In appropriate conditions, the apparent motion is indistinguishable from real motion: The observer experiences a luminous object traversing a continuous path from one stimulus location to the other through intervening positions where no physical stimuli exist. The phenomenon has been extensively investigated for nearly a century but little is known about its neurophysiological foundation. Here we present images of activations in the primary visual cortex in response to real and apparent motion. The images show that during apparent motion, a path connecting the cortical representations of the stimulus locations is filled in by activation. The activation along the path of apparent motion is similar to the activation found when a stimulus is presented in real motion between the two locations.

Independent encoding of colors and shapes from two stimuli

Observers were presented with brief exposures of pairs of colored objects (letters) and asked to report both the color and the shape of each object. Several observers showed strikingly clear evidence of nearly perfect stochastic independence between reports of the four features (two colors and two shapes). For instance, the probability that the shape of a given object could be reported seemed independent of (a) whether the color of the object could be reported and (b) whether features of the other object could be reported. Such stochastic independence is predicted by many parallel-processing models (e.g., Bundesen, 1990). However, the results are difficult to reconcile with simple serial models in which the encoding of one object is completed before the encoding of another object is begun.

Velocity constraints on apparent rotational movement

The visual illusion of apparent rigid rotation was produced by sequential alternation of two views of the same object in different orientations. The minimum stimulus-onset asynchrony required for the appearance of rigid rotation was a linearly increasing function of the angular difference in orientation between the two views. Variation in the size of the object affected the zero-intercept of the function, but the slope was virtually constant. The slope invariance suggests that the appearance of rigid rotation is constrained by an upper bound on the apparent angular velocity of the object as a whole, rather than a bound on the linear velocity of its parts.

A TEMPLATE-MATCHING PANDEMONIUM RECOGNIZES UNCONSTRAINED HANDWRITTEN CHARACTERS WITH HIGH ACCURACY

Psychological data suggest that internal representations such as mental images can be used as templates in visual pattern recognition. But computational studies suggest that traditional template matching is insufficient for high-accuracy recognition of real-life patterns such as handwritten characters. Here we explore a model for visual pattern recognition that combines a template-matching and a feature-analysis approach: Character classification is based on weighted evidence from a number of analyzers (demons), each of which computes the degree of match between the input character and a stored template (a copy of a previously presented character). The template-matching pandemonium was trained to recognize totally unconstrained handwritten digits. With a mean of 37 templates per type of digit, the system has attained a recognition rate of 95.3%, which falls short of human performance by only 2%–3%.