Third-Order Edge Statistics: Contour Continuation, Curvature, and\n Cortical Connections

2013/06/13 by Matthew Lawlor, Lawlor, Matthew, Steven W. Zucker +1
Neuroscience · Physics and Astronomy · #Color Science and Applications #FOS: Biological sciences #Neural dynamics and brain function #Neurons and Cognition (q-bio.NC) #Visual perception and processing mechanisms

paper · pdf · doi:10.48550/arxiv.1306.3285

openalex publication_date 2013/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Association field models have attempted to explain human contour grouping\nperformance, and to explain the mean frequency of long-range horizontal\nconnections across cortical columns in V1. However, association fields only\ndepend on the pairwise statistics of edges in natural scenes. We develop a\nspectral test of the sufficiency of pairwise statistics and show there is\nsignificant higher order structure. An analysis using a probabilistic spectral\nembedding reveals curvature-dependent components.\n

Citations

• The “independent components” of natural scenes are edge filters

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