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1. Vaina LM and Cowey A “Impairment of the perception of second order motion but not first order motion in a patient with unilateral focal brain damage”, Proc. R. Soc. Lond. B., 1996; 263:1225-1232.

Unlike first order motion, which is based on spatiotemporal variations in luminance, second-order motion relies on spatiotemporal variation of attributes derived from luminance, such as contrast. Here we show that a patient with a small unilateral cortical lesion adjacent to human cortical area MT (V5) has an apparently permanent disorder in perceiving several forms of second-order but not first-order motion in his contralateral visual field. This result indicates that separate pathways for motion perception exist, either as divergent pathways from area MT or even from primary visual cortex, or as separate pathways from subcortical areas to extrastriate visual areas.

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2. Vaina LM, Cowey A, Makris N, Kennedy D “The selective impairment of the perception of first-order motion by unilateral cortical brain damage”, Visual Neuroscience, 1998; 15:333-348.

First-order (Fourier) motion consists of stable spatiotemporal luminance variations. Second-order (non-Fourier) motion consists instead of spatiotemporal modulation of contrast, flicker, or spatial frequency. In spite of extensive psychophysical and computational analysis of the nature and relationship of these two types of motion, it remains unclear whether they are detected by the same mechanism or whether separate mechanisms are involved. Here we report the selective impairment of first-order motion, on a range of local and global motion tasks, in the contralateral visual hemifield of a patient with unilateral brain damage centered on putative visual areas V2 and V3 in the medial part of the occipital lobe. His perception of second-order motion was unimpaired. As his disorder is the obverse of that reported after damage in the vicinity of human visual area MT (V5), the results support models of motion processing in which first- and second-order motion are, at least in part, computed separately at the extrastriate cortical level.

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3. Clifford CWG and Vaina LM “A computational model of selective deficits in first- and second-order motion processing”, Vis Res, 1999 (in press).

Recent neurological studies of selective impairments in first- and second-order motion processing are of considerable relevance in elucidating the mechanisms of motion perception in normal human observers. We examine the stimuli which have been used to assess first- and second-order motion processing capabilities in clinical subjects, and discuss the nature of the computations necessary to extract their motion. We find that a simple computational model of first- and second-order motion processing is able to account for the data. The model consists of a first-order channel computing motion at coarse and fine scales, and a coarse scale second-order channel. The second-order channel is sensitive to motion information defined by variations in luminance, contrast, spatial frequency, and flicker. When elements of the model are disabled, its performance on either first- or second-order motion can be selectively impaired in line with the neurological data.

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4. Clifford CWG, Freedman J, Vaina LM “First- and second-order motion perception in Gabor micropattern stimuli: Psychophysical and computational modeling”, Cog. Br. Res, 1998; 6(4):263-273.

This paper examines the perception of first- and second-order motion in human vision. In an extension of previous work by Boulton and Baker [2,3], the direction of two-frame apparent motion is measured for stimuli composed of Gabor or Gaussian micropatterns. Three conditions are investigated. Condition 1 is that used by Boulton and Baker, in which motion is defined by the displacement of Gabor micropatterns. In Condition 2, motion is defined by the displacement of Gaussian micropatterns. In Condition 3, the envelopes of Gabor micropatterns are displaced while their carriers remain static. Using sparsely distributed micropatterns, direction judgements in all three conditions are determined by the spacing of the micropatterns. With a dense stimulus, direction judgements vary as a function of displacement in qualitatively different ways for the three conditions. The psychophysical results are predicted by a two-channel computational model. In one channel, motion is calculated directly from stimulus luminance, while in the other it is preceded by a texture-grabbing operation. The relative activities of the two channels dictates which governs direction judgements for any given stimulus.

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5. Vaina LM “Complex motion perception and its deficits”, Current Opinion in Neurobiology, 1998; 8:494-502.

Within the motion hierarchy, the area MSTd is optimally suited for the analysis of complex motion patterns which are directly useful for tasks of visually guided behaviour (e.g. computation of heading). I first review the electrophysiological and psychophysical evidence for the existence of “detectors” in MSTd specialized for complex motion patterns, and the necessity of combining retinal and extraretinal signals received by MSTd neurones for the accurate perception of heading. Second, in a small number of neurological patients I illustrate the devastating effects of lesions involving the human homologue of MST on their ability to navigate in their surrounding and discuss these patients’ impaired performance on psychophysical tasks of complex motion discrimination.

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6. Morrone MC, Burr DC, Vaina LM “Two stages of visual processing for radial and circular motion”, Nature, 1995; 376(6540):507-509.

As we move through our environment, the flow of the deforming images on our retinae provides rich information about ego motion and about the three-dimensional structure of the external world. Flow-fields comprise five independent components, including radial and circular motion. Here we provide psychophysical evidence for the existence of neural mechanisms in human vision that integrate motion signals along these complex trajectories. Signal-to-noise sensitivity for discriminating the direction of radial, circular, and translational motion increased predictably with the number of exposed sectors, implying the existence of specialized detectors that integrate motion signals of different directions from different locations. However, contrast sensitivity for complex motion did not increase greatly with sector number, implying that the specialized detectors are preceded by a first stage of local-motion mechanisms that impose a contrast threshold. These findings fit well with recent electrophysiological evidence in monkey showing that whereas motion-sensitive neurons in primary visual cortex respond best to local translation, many neurons in the medial superior temporal cortex have large receptive fields tuned to radial, circular, or spiral motion.

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7. Burr D, Morrone MC, Vaina LM “Large receptive fields for optic flow detectors in humans”, Vis Res, 1998; 38(12):1731-1743.

We used a psychophysical summation technique to study the properties of detectors tuned to radial, circular, and translational motion, and to determine the spatial extent of their receptive fields. Signal-to-noise motion thresholds were measured for patterns curtailed spatially in various ways. Sensitivity for radial, circular, and translational motion increased with stimulus area at a rate predicted by an ideal integrator. When sectors of noise were added to the stimulus, sensitivity decreased at a rate consistent with large receptive fields for this type of motion (consistent with the physiology of neurones in the dorsal region of the medial superior temporal area (MSTd)). This is a far greater area than observed for summation of contrast sensitivity to gratings (Anderson SJ and Burr DC, Vis Res 1987;29:621-635), ad to this type of stimuli (Morrone MC, Burr DC, Vaina LM, Nature 1995;376:507-509), consistent with the suggestion that the two techniques examine different levels of motion analysis.

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8. Clifford CWG, Beardsley SA, Vaina LM “The perception and discrimination of speed in complex motion”, Vis Res (accepted).

Random dot kinematograms were used to simulate radial, rotational, and spiral optic flow. The stimuli were designed so that, while dot speed increased linearly with distance from the centre of the display, the density of dots remained uniform throughout their presentation. In two experiments, subjects were required to perform a temporal 2AFC speed discrimination task. Experiment 1 measured the perceived speed of a range of optic flow patterns against a rotational comparison stimulus. Radial motions were found to appear faster than rotations by approximately 10%, with a smaller but significant effect for spirals. Experiment 2 measured discrimination thresholds for pairs of similar optic-flow stimuli identical in all respects except mean speed. No consistent differences were observed between the speed discrimination thresholds of radial, rotational, and spiral motions and a control stimulus with the same speed profile in which motion was along fixed random trajectories. The perceived speed results are interpreted in terms of a model satisfying constraints on motion-in-depth and object rigidity, while speed discrimination appears to be based upon the pooled responses of elementary motion detectors.

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9. Beardsley SA and Vaina LM “Computational modelling of optic flow selectivity in MSTd neurons”, Network: Comput. Neural Sys, 1998; 9:467-493.

In neurophysiological experiments examining the selectivity of MSTd neurons to visual motion components of optic flow stimuli in monkeys, Duffy and Wurtz (1991) reported cells with double-component (plano-radial and plano-circular) and triple-component (plano-radial-circular) selectivities, while Graziano et al (1994) reported neurons selective to a continuum of optic flow stimuli including spiral motion. Here, we address these reported findings under simulated experimental conditions by examining the development of optic flow selectivity in the hidden units of a two-layer back-propagation network. We also examine network motion sensitivity during simulated psychophysical tests via the addition of a competitive decision layer. Network analysis with neurophysiological stimuli identified a majority of hidden units whose position invariance and motion selectivity were consistent with MSTd responses to the visual motion components of optic flow stimuli reported by Duffy and Wurtz and Graziano et al. Furthermore, the hidden units developed a continuum of optic flow selectivities independent of the biases associated with the specification of the motion selectivity in the output layer. During psychophysical testing, network responses showed motion sensitivities which met or exceeded human performance. Within the limitations imposed by the learning algorithm, the psychophysical results were consistent with a model of global motion perception via local integration along complex motion trajectories.

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10. Vaina LM, Grzywacz NM, LeMay M, Bienfang D, Wolpow E “Perception of motion discontinuities in patients with selective motion deficits”, in High-level motion processing: computational, neurobiological, and psychophysical perspectives. T. Watanabe (ed), MIT press, 1998; pp. 213-247.

Humans can find image discontinuities, which usually correspond to object borders, based solely on motion measurements (Anstis, 1970). This computation is an important component of figure-ground segregation (Gibson et al., 1959; Braddick, 1973, 1980), a fundamental function of the visual system. However, despite the importance of discontinuity extraction, two points are still unclear: What are the visual measurements underlying it? And what is its relationship to the spatial integration of motion signals?

Several theoretical investigators have studied the problem of finding motion discontinuities and its relationship to how the visual system measures velocity (Nakayama and Loomis, 1974; Grzywacz and Yuille, 1990) and integrates motion signals over space and time (Hildreth, 1984; Bulthoff, Little, and Poggio, 1989; Yuille and Grzywacz, 1988, 1989). The proposed theories may be divided into three classes in terms of their hierarchical organization: (1) Discontinuities are computed from direction of optic-flow vectors or spatiotemporal signal measurements (Hildreth 1984; Grzywacz and Yuille, 1990), but prior to the computation of full optic-flow velocity in relatively localized regions of the image; (2) Discontinuities are computed from the outputs of full local velocity measurement, but prior to a stage that integrates the local vectors to obtain a coherent, global percept of motion (Nakayama and Loomis, 1974; Clocksin, 1980); (3) Discontinuities are computed simultaneously with the motion integration stage (Koch et al., 1989). Common to all these theoretical frameworks is the question of whether the processing of information related to the extraction of discontinuity is hierarchically organized (see also Grossberg, chapter 1; Hildreth and Royden, chapter 9; Yuille and Grzywacz, chapter 6).

Physiological and anatomical studies indicate a degree of hierarchical processing of motion in the cortex (for a review see Maunsell and Newsome, 1987). For example, layer 4b of area V1 (Dow, 1974; Blasdel and Fitzpatrick, 1984) is one of the earliest stages providing an explicit representation of direction of motion at the level of individual neurons, which is then further processed in the middle temporal area (MT) (Zeki, 1969; Maunsell and Van Essen, 1983). It is unclear what cortical area computes visual speed, that is, what area has a speed representation which is independent of spatial and temporal frequencies. While it might be MT (Newsome, Gizzi, and Movshon, 1983), it is almost certainly not V1 (Tolhurst and Movshon, 1975; Holub and Morton-Gibson, 1981). The spatial integration of motion signals might be performed in MT or in the (later) medial superior temporal area (MST), since these areas tend to have large receptive fields (Gattass and Gross, 1981; Tanaka et al., 1986; Desimoneand Ungerleider, 1986; for a review see Tanaka, chapter 10). These functions might also be assigned to other extrastriate areas that process motion.

Psychophysics provides valuable information pertaining to hierarchical processing of motion information in humans. Precise measurements of velocity seem to require spatiotemporal integration (McKee, 1981; McKee and Welch, 1985). Motion discontinuities appear to be computed after some absolute motion measurements are made (Baker and Braddick, 1982; vanDoorn and Koenderink, 1982, 1983). Computation of discontinuities has been suggested to involve motion antagonistic mechanisms (Hildreth, 1984) or the exploitation of the population code of directionally selective cells (Grzywacz and Yuille, 1990).

In this paper we take a different approach to test the theoretical proposals on the organization of motion processing underlying discontinuity extraction. We investigate performance on seven psychophysical motion tasks of patients with focal brain lesions involving the neural circuits mediating specific aspects of motion perception. This investigation is complemented by magnetic resonance imaging (MRI) studies, and neurological, neuro-ophthalmological, and neuropsychological evaluations. Such patient studies offer a valuable opportunity to infer the neuroanatomical substrate of specific motion computations in humans and to learn how these computations relate to each other. The results of this study were previously presented in a short form (Vaina et al., 1990a; Vaina and Grzywacz, 1992).

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