Contextual interactions in a generalized energy model of complex cells.

We propose a generalized energy model of complex cells to describe modulatory contextual influences on the responses of neurons in the primary visual cortex (V1). Many orientation-selective cells in V1 respond to contrast of orientation and motion of stimuli exciting the classical receptive field (CRF) and the non-CRF, or surround. In the proposed model, a central spatiotemporal filter, defining the CRF, is nonlinearly combined with a spatiotemporal filter extending into the non-CRF. These filters are assumed to describe simple-cell responses, while the nonlinear combination of their responses describes the responses of complex cells. This mathematical operation accounts for the inherent nonlinearity of complex cells, such as phase independence and frequency doubling, and for nonlinear interactions between stimuli in the CRF and surround of the cell, including sensitivity to feature contrast. If only the CRF of the generalized complex cell is stimulated by a drifting grating, the model reduces to the standard energy model. The theoretical predictions of the model are supported by computer simulations and compared with experimental data from V1.

[1]  Eero P. Simoncelli,et al.  Spatiotemporal Elements of Macaque V1 Receptive Fields , 2005, Neuron.

[2]  J. Touryan,et al.  Spatial Structure of Complex Cell Receptive Fields Measured with Natural Images , 2005, Neuron.

[3]  Ralf Wessel,et al.  Computing relative motion with complex cells , 2005, Visual Neuroscience.

[4]  D. Ringach.  Mapping receptive fields in primary visual cortex , 2004, The Journal of physiology.

[5]  Jay Hegdé,et al.  How Selective Are V1 Cells for Pop-Out Stimuli? , 2003, The Journal of Neuroscience.

[6]  P. Lennie,et al.  Local signals from beyond the receptive fields of striate cortical neurons. , 2003, Journal of neurophysiology.

[7]  Nicolai Petkov,et al.  Contour detection based on nonclassical receptive field inhibition , 2003, IEEE Trans. Image Process..

[8]  P. H. Schiller,et al.  Neural responses to relative speed in the primary visual cortex of rhesus monkey , 2003, Visual Neuroscience.

[9]  J. Movshon,et al.  Selectivity and spatial distribution of signals from the receptive field surround in macaque V1 neurons. , 2002, Journal of neurophysiology.

[10]  D. Ringach.  Spatial structure and symmetry of simple-cell receptive fields in macaque primary visual cortex. , 2002, Journal of neurophysiology.

[11]  A. Sillito,et al.  Surround suppression in primate V1. , 2001, Journal of neurophysiology.

[12]  Y Chen,et al.  Modeling V1 disparity tuning to time-varying stimuli. , 2001, Journal of neurophysiology.

[13]  Leslie G. Ungerleider,et al.  Contextual Modulation in Primary Visual Cortex of Macaques , 2001, The Journal of Neuroscience.

[14]  I. Ohzawa,et al.  Suppression outside the classical cortical receptive field , 2000, Visual Neuroscience.

[15]  M. Sur,et al.  Dynamic properties of recurrent inhibition in primary visual cortex: contrast and orientation dependence of contextual effects. , 2000, Journal of neurophysiology.

[16]  Ning Qian,et al.  Relationship Between Phase and Energy Methods for Disparity Computation , 2000, Neural Computation.

[17]  S. Kastner,et al.  Neuronal responses to orientation and motion contrast in cat striate cortex , 1999, Visual Neuroscience.

[18]  C Y Li,et al.  Shift in speed selectivity of visual cortical neurons: a neural basis of perceived motion contrast. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[19]  Frances S. Chance,et al.  Complex cells as cortically amplified simple cells , 1999, Nature Neuroscience.

[20]  Sean P. MacEvoy,et al.  Integration of surface information in primary visual cortex , 1998, Nature Neuroscience.

[21]  D. Mumford,et al.  The role of the primary visual cortex in higher level vision , 1998, Vision Research.

[22]  E. Todorov,et al.  A local circuit approach to understanding integration of long-range inputs in primary visual cortex. , 1998, Cerebral cortex.

[23]  J. B. Levitt,et al.  Contrast dependence of contextual effects in primate visual cortex , 1997, nature.

[24]  S. Kastner,et al.  Neuronal Correlates of Pop-out in Cat Striate Cortex , 1997, Vision Research.

[25]  Victor A. F. Lamme,et al.  Contextual Modulation in Primary Visual Cortex , 1996, The Journal of Neuroscience.

[26]  Michael A. Paradiso,et al.  The Representation of Brightness in Primary Visual Cortex , 1996, Science.

[27]  H. Jones,et al.  Visual cortical mechanisms detecting focal orientation discontinuities , 1995, Nature.

[28]  C. Gilbert,et al.  Improvement in visual sensitivity by changes in local context: Parallel studies in human observers and in V1 of alert monkeys , 1995, Neuron.

[29]  M Stemmler,et al.  Lateral interactions in primary visual cortex: a model bridging physiology and psychophysics. , 1995, Science.

[30]  Victor A. F. Lamme.  The neurophysiology of figure-ground segregation in primary visual cortex , 1995, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[31]  I. Ohzawa,et al.  Spatiotemporal organization of simple-cell receptive fields in the cat's striate cortex. I. General characteristics and postnatal development. , 1993, Journal of neurophysiology.

[32]  D. V. van Essen,et al.  Neuronal responses to static texture patterns in area V1 of the alert macaque monkey. , 1992, Journal of neurophysiology.

[33]  E. Adelson,et al.  Directionally selective complex cells and the computation of motion energy in cat visual cortex , 1992, Vision Research.

[34]  S. Zucker,et al.  Endstopped neurons in the visual cortex as a substrate for calculating curvature , 1987, Nature.

[35]  G. Orban,et al.  Influence of a moving textured background on direction selectivity of cat striate neurons. , 1987, Journal of neurophysiology.

[36]  E H Adelson,et al.  Spatiotemporal energy models for the perception of motion. , 1985, Journal of the Optical Society of America. A, Optics and image science.

[37]  J. Movshon,et al.  Spatial summation in the receptive fields of simple cells in the cat's striate cortex. , 1978, The Journal of physiology.

[38]  J. Movshon,et al.  Receptive field organization of complex cells in the cat's striate cortex. , 1978, The Journal of physiology.

[39]  J. Movshon,et al.  Spatial and temporal contrast sensitivity of neurones in areas 17 and 18 of the cat's visual cortex. , 1978, The Journal of physiology.

[40]  Tai Sing Lee,et al.  Contextual Influences in Visual Processing , 2008 .

[41]  Zhaoping Li.  V1 mechanisms and some figure-ground and border effects. , 2003, Journal of physiology, Paris.

[42]  BsnNr C. Srorn,et al.  CLASSIFYING SIMPLE AND COMPLEX CELLS ON THE BASIS OF RESPONSE MODULATION , 2002 .

[43]  R. Shapley,et al.  Macaque V1 neurons can signal 'illusory' contours. , 1993, Nature.

[44]  D. Hubel,et al.  Receptive fields, binocular interaction and functional architecture in the cat's visual cortex , 1962, The Journal of physiology.