AUTHOR=Bolelli Maria Virginia , Citti Giovanna , Sarti Alessandro , Zucker Steven W. 

TITLE=Good continuation in 3D: the neurogeometry of stereo vision

JOURNAL=Frontiers in Computer Science

VOLUME=5

YEAR=2024

URL=https://www.frontiersin.org/journals/computer-science/articles/10.3389/fcomp.2023.1142621

DOI=10.3389/fcomp.2023.1142621

ISSN=2624-9898

ABSTRACT=<p>Classical good continuation for image curves is based on 2<italic>D</italic> position and orientation. It is supported by the columnar organization of cortex, by psychophysical experiments, and by rich models of (differential) geometry. Here, we extend good continuation to stereo by introducing a neurogeometric model to abstract cortical organization. Our model clarifies which aspects of the projected scene geometry are relevant to neural connections. The model utilizes parameterizations that integrate spatial and orientation disparities, and provides insight into the psychophysics of stereo by yielding a well-defined 3<italic>D</italic> association field. In sum, the model illustrates how good continuation in the (3D) world generalizes good continuation in the (2D) plane.</p>