Journal ArticleDOI
The organization of curve detection: Coarse tangent fields and fine spline coverings
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This article is published in Neural Networks.The article was published on 1988-01-01. It has received 50 citations till now. The article focuses on the topics: Spline (mathematics) & Tangent.read more
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Journal ArticleDOI
Trace inference, curvature consistency, and curve detection
P. Parent,Steven W. Zucker +1 more
TL;DR: It is shown that recovery of the trace of a curve requires estimating local models for the curve at the same time, and that tangent and curvature information are sufficient, which make it possible to specify powerful constraints between estimated tangents to a curve.
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Inferring global perceptual contours from local features
Gideon Guy,Gerard Medioni +1 more
TL;DR: This work addresses the problem of contour inference from partial data, as obtained from state-of-the-art edge detectors, and argues that in order to obtain more pereeptually salient contours, it is necessary to impose generic constraints such as continuity and co-curvilinearity.
Journal ArticleDOI
Logical/linear operators for image curves
Lee Iverson,Steven W. Zucker +1 more
TL;DR: A family of logical/linear (L/L) operators appropriate for measuring the low-order differential structure of image curves is developed, derived by decomposing a linear model into logical components to ensure that certain structural preconditions for the existence of an image curve are upheld.
Journal ArticleDOI
Shape representation and image segmentation using deformable surfaces
TL;DR: A technique for constructing shape representation from images using free-form deformable surfaces, which results in a wide range of applications: reconstruction of smooth isolated objects such as human faces, reconstruction of structured objectssuch as polyhedra, and segmentation of complex scenes with mutually occluding objects.
Journal ArticleDOI
The neurogeometry of pinwheels as a sub-Riemannian contact structure
TL;DR: The core of the paper consists first in showing that the horizontal cortico-cortical connections of V1 implement what the geometers call the contact structure of the fibration pi, and secondly in introducing an integrability condition and the integral curves associated with it.