When Geometry Constrains Vision: Systematic Misperceptions within Geometrical Configurations

When Geometry Constrains Vision: Systematic Misperceptions within Geometrical Configurations.

How accurate are we in reproducing a point within a simple shape? This is the empirical question we addressed in this work. Participants were presented with a tiny disk embedded in an empty circle (Experiment 1 and 3) or in a square (Experiment 2). Shortly afterwards the disk vanished and they had to reproduce the previously seen disk position within the empty shape by means of the mouse cursor...

Geometrical spinoptics & symplectic geometry

The object of this talk is to illustrate the usefulness of symplectic geometry in understanding new features of geometrical optics for spinning light in refractive media, e.g., the subtle transverse shift of light beams across an interface, which has been coined the Spin Hall Effect of Light [1]. We reformulate Fermat’s principle to describe spinning light rays in Riemannian three-manifolds, (M...

Geometrical ambiguity of pair statistics: point configurations.

Point configurations have been widely used as model systems in condensed-matter physics, materials science, and biology. Statistical descriptors, such as the n -body distribution function g(n), are usually employed to characterize point configurations, among which the most extensively used is the pair distribution function g(2). An intriguing inverse problem of practical importance that has bee...

Geometrical and flow configurations for enhanced microcantilever detection within a fluidic cell

This work focuses on studying the effect of the flow conditions and the geometric variation of the microcantilever s supporting system on the microcantilever detection capabilities within a fluidic cell for various pertinent parameters. Such parameters include Reynolds number, height of the fluidic cell, surface reaction constant, and the Schmidt number. The results of this investigation show t...

Forbidden Configurations in Discrete Geometry