Precision and consistency of contour interpolation

We investigated conditions under which observers can interpolate occluded contours by a single, stable, smooth contour. Observers viewed partly-occluded contours defined by linear segments and estimated the position and tangent orientation of the contour at multiple locations within the occluded region. We measured the precision and consistency of observers' settings as indices of successful interpolation. We found that although increasing the relative offset between inducers led to a decrease in both precision and consistency, increasing turning angle affected primarily precision. We discuss conditions under which interpolation settings are consistent with a single, stable smooth contour.

[1]  Jacqueline M. Fulvio,et al.  Bayesian contour extrapolation: Geometric determinants of good continuation , 2007, Vision Research.

[2]  R. Mausfeld,et al.  Perception and the Physical World: Psychological and Philosophical Issues in Perception , 2002 .

[3]  Jacqueline M. Fulvio,et al.  Visual extrapolation of contour geometry. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[4]  Michael S. Landy,et al.  Interpolating sampled contours in 3-D: analyses of variability and bias , 2002, Vision Research.

[5]  M. Kenward,et al.  An Introduction to the Bootstrap , 2007 .

[6]  Manish Singh Modal and Amodal Completion Generate Different Shapes , 2004, Psychological science.

[7]  P. Kellman,et al.  From fragments to objects : segmentation and grouping in vision , 2001 .

[8]  P. Kellman,et al.  Perception of Partly Occluded Objects and Illusory Figures : Evidence for an Identity Hypothesis , 2004 .

[9]  R. Shapley,et al.  Spatial and Temporal Properties of Illusory Contours and Amodal Boundary Completion , 1996, Vision Research.

[10]  Stephen E. Palmer,et al.  Perception of partly occluded objects: A microgenetic analysis. , 1992 .

[11]  Jeffrey S. Perry,et al.  Edge co-occurrence in natural images predicts contour grouping performance , 2001, Vision Research.

[12]  D D Hoffman,et al.  Completing visual contours: The relationship between relatability and minimizing inflections , 1999, Perception & psychophysics.

[13]  J. Wolfowitz,et al.  An Introduction to the Theory of Statistics , 1951, Nature.

[14]  Laurence T. Maloney,et al.  Statistical Decision Theory and Biological Vision , 2005 .

[15]  J. Elder,et al.  Ecological statistics of Gestalt laws for the perceptual organization of contours. , 2002, Journal of vision.

[16]  A. Michotte,et al.  Les compléments amodaux des structures perceptives , 1964 .

[17]  David J. Field,et al.  Contour integration by the human visual system: Evidence for a local “association field” , 1993, Vision Research.

[18]  Guy L. Lacroix,et al.  The effect of dot lifetime, dot size, & percent area covered by dots on motion coherence thresholds: Implications for diagnosing reading difficulties , 2010 .

[19]  S. Grossberg,et al.  Neural dynamics of form perception: boundary completion, illusory figures, and neon color spreading. , 1985, Psychological review.

[20]  Steven W. Zucker,et al.  Trace Inference, Curvature Consistency, and Curve Detection , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[21]  Philip J Kellman,et al.  Surface integration influences depth discrimination , 2000, Vision Research.

[22]  Wilson S. Geisler,et al.  Efficiency of contour grouping across occlusions in natural images , 2010 .

[23]  R. Basri,et al.  The role of convexity in perceptual completion: beyond good continuation , 1999, Vision Research.

[24]  D G Pelli,et al.  The VideoToolbox software for visual psychophysics: transforming numbers into movies. , 1997, Spatial vision.

[25]  S Shimojo,et al.  The Theory of the Curvature-Constraint Line for Amodal Completion , 1995, Perception.

[26]  Jon Driver,et al.  Kanizsa subjective figures can act as occluding surfaces at parallel stages of visual search , 1998 .

[27]  Jacob feldman,et al.  Bayesian contour integration , 2001, Perception & psychophysics.

[28]  Vision Research , 1961, Nature.

[29]  J. Koenderink,et al.  Surface perception in pictures , 1992, Perception & psychophysics.

[30]  Steven Yantis,et al.  Masking unveils pre-amodal completion representation in visual search , 2001, Nature.

[31]  Michael S. Landy,et al.  Interpolating sampled contours in 3D: perturbation analyses , 2004, Vision Research.

[32]  Jacqueline M. Fulvio,et al.  Surface geometry influences the shape of illusory contours. , 2006, Acta psychologica.

[33]  H Takeichi,et al.  The Effect of Curvature on Visual Interpolation , 1995, Perception.

[34]  Piers D. L. Howe,et al.  A laminar cortical model of monocular and binocular interactions in depth perception , 2010 .

[35]  Barton L Anderson,et al.  Motion-Based Mechanisms of Illusory Contour Synthesis , 1999, Neuron.

[36]  D H Brainard,et al.  The Psychophysics Toolbox. , 1997, Spatial vision.

[37]  P. Kellman,et al.  A theory of visual interpolation in object perception , 1991, Cognitive Psychology.

[38]  Sharon E. Guttman,et al.  7 – Geometric and Neural Models of Object Perception , 2001 .

[39]  Sharon E. Guttman,et al.  Temporal variations in visual completion: a reflection of spatial limits? , 2003, Journal of experimental psychology. Human perception and performance.

[40]  R. Fleming,et al.  The Interpolation of Object and Surface Structure , 2002, Cognitive Psychology.

[41]  J. Feldman Curvilinearity, covariance, and regularity in perceptual groups , 1997, Vision Research.

[42]  Michael S. Landy,et al.  Influence function for visual interpolation , 1997, Electronic Imaging.

[43]  W. Gerbino,et al.  Contour interpolation by vector-field combination. , 2003, Journal of vision.

[44]  Ohad Ben-Shahar,et al.  Geometrical Computations Explain Projection Patterns of Long-Range Horizontal Connections in Visual Cortex , 2004, Neural Computation.

[45]  Jan J. Koenderink,et al.  Pictorial relief , 2019, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[46]  C. Gilbert,et al.  On a common circle: natural scenes and Gestalt rules. , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[47]  A. Rosenfeld,et al.  Curve Detection in a Noisy Image , 1997, Vision Research.

[48]  A. Fitzgibbon,et al.  Pictorial relief - Discussion , 1998 .

[49]  M. Wertheimer Untersuchungen zur Lehre von der Gestalt. II , 1923 .

[50]  Franklin A. Graybill,et al.  Introduction to the Theory of Statistics, 3rd ed. , 1974 .

[51]  Sharon E. Guttman,et al.  Contour interpolation revealed by a dot localization paradigm , 2004, Vision Research.