We inhabit an ever-changing environment, in which sensing, processing and acting upon these changes can be essential for survival. When we move or when objects in the world move, the visual images projected onto each of our retinas change accordingly. The psychologist J. J. Gibson noted that important environmental information is embedded in this pattern of local retinal image velocities (Gibso...

Oscillations with periods on the order of 5– 10 min have been observed by instrumented spacecrafts in the Earth’s magnetosphere. These oscillations often follow sudden impacts related to coronal mass ejections. It is demonstrated that a simple model is capable of explaining these oscillations and give a scaling law for their basic characteristics in terms of the basic parameters of the problem....

The number of Japanese traditional dancers has been decreasing. Without performers, some dances will be disappeared, because they can not be recorded by conventional media, such as paper. We have proposed an archiving method specifically for dancing pattern. Our method has four main stages: 1. Digitizing motions by motion capture systems, 2. Analyzing motions, 3. Synthesizing motions, 4. Reprod...

We describe a set of techniques whereby absolute position and velocity of a moving target can be obtained with the aid of a position controlled visual sensor. We investigate how the sensor trajectory can be optimized to reduce the sensitivity of the target parameter estimates to noise in the measurements. We present a discrete time technique for obtaining the depth and motion of a moving target...

Time varying image analysis s Motion detection s Motion estimation s Egomotion and structure from motion Time-varying image analysis-2 Larry Davis The problems s Visual surveillance – stationary camera watches a workspace-find moving objects and alert an operator – moving camera navigates a workspace-find moving objects and alert an operator s Image coding – use image motion to perform more eff...

Abstract. This paper derives a portfolio decomposition formula when the agent maximizes utility of her wealth at some finite planning horizon. The financial market is complete and consists of multiple risky assets (stocks) plus a risk free asset. The stocks are modelled as exponential Brownian motions with drift and volatility being Itô processes. The optimal portfolio has two components: a myo...

One-armed oscillation modes in the circumstellar discs of Be stars may explain the cyclical variations in their emission lines. We show that a three-dimensional effect, involving vertical motion and neglected in previous treatments, profoundly influences the dynamics. Using a secular theory of eccentric discs that reduces the problem to a second-order differential equation, we show that confine...

Using Monte-Carlo simulations, we estimate numerically disconnection exponents for planar Brownian motions. These simulations tend to confirm conjectures by Duplantier and Mandelbrot.