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Mathematical analysis of the Accordion Grating illusion: A differential geometry approach to introduce the 3D aperture problem

Neural Networks, 2011
When an observer moves towards a square-wave grating display, a non-rigid distortion of the pattern occurs in which the stripes bulge and expand perpendicularly to their orientation; these effects reverse when the observer moves away. Such distortions present a new problem beyond the classical aperture problem faced by visual motion detectors, one we ...
Yazdanbakhsh, Arash, GORI, Simone
openaire   +4 more sources

Ordinary and Stochastic Differential Geometry as a Tool for Mathematical Physics

1996
Introduction. I. Elements of Coordinate-Free Differential Geometry. II. Introduction to Stochastic Analysis in Rn III. Stochastic Differential Equations on Manifolds. IV. Langevin's Equation in Geometric Form. V. Nelson's Stochastic Mechanics. VI. The Lagrangian Approach to Hydrodynamics.
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Differential geometry and statistics: Some mathematical aspects

1987
The body of the paper consists of four sections. Throughout, M will denote a d-dimensional manifold and \(\tilde M\) will be a copy of M. In section 2 we consider a certain type of function g on \(M\times \tilde M\) which in a canonical way induces various geometrical structures on M, including a Riemannian metric and a one-parameter family of affine ...
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Discrete Differential-Geometry Operators for Triangulated 2-Manifolds

International Workshop on Visualization and Mathematics, 2002
Mark Meyer   +3 more
semanticscholar   +1 more source

Lectures on Differential Geometry

Graduate Studies in Mathematics
Bennett Chow, Yutze Chow
semanticscholar   +1 more source

Differential Equations with Discontinuous Righthand Sides

Mathematics and Its Applications, 1988
A. F. Filippov
semanticscholar   +1 more source

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