Support sets and Gleason parts.

A Geometric Characterization of Gleason Parts

Parts Handling and Self-Assembly Using Stable Limit Sets

Vibration is commonly used in industrial parts feeding and alignment processes, and to provide energy to encourage mobility among self-assembling parts. We are studying a simple model of agitation where planar parts are repetitively thrown by a simple one-degree-of-freedom throwing surface, caught, and allowed to settle. Throwing actions result in nonlinear discrete-time maps in the parts’ conf...

Essential sets and support sets for stochastic processes

In recent articles the author used his work in measure and integration to produce a new universal concept of stochastic processes. This concept leads, for the first time, for a stochastic process to a natural notion of essential subsets in the path space. But there remained some contrast to the traditional treatment, for example because for the Poisson process the set of càdlàg paths is not an ...

Stable limit sets in a dynamic parts feeder

| We describe a one-joint planar arm which repeatedly throws and catches parts on its surface, and we demonstrate that proper choice of the throw velocity and arm geometry guarantees that the part will enter a unique recurrent motion pattern from a large set of initial con gurations. The resulting system resembles an open-loop stable juggler of polygonal parts. Combined with a simple one-bit se...

Toward parts-based scene understanding with pixel-support parts-sparse pictorial structures

Scene understanding remains a significant challenge in the computer vision community. The visual psychophysics literature has demonstrated the importance of interdependence among parts of the scene. Yet, the majority of methods in computer vision remain local. Pictorial structures have arisen as a fundamental parts-based model for some vision problems, such as articulated object detection. Howe...