Showing papers by "University of Lorraine published in 1990"
TL;DR: In this paper, the authors explain the process of computing the lowest energy level achieved by an elastic crystal subject to homogeneous boundary deformation, and also analyse some of the mathematical and physical aspects of these highly oscillatory problems.
Abstract: The goal of this note is to explain the process of computing the lowest energy level achieved by an elastic crystal subject to homogeneous boundary deformation. This analysis follows mainly the lines of Chipot and Kinderlehrer or Fonesca but we expect that it will lead to some new results for some other energy functional having different invariance properties. The mathematical interest of the result also lies in the fact that the lowest energy level computed this way coincides with the relaxed energy functional (see Fonesca). This relaxed energy is determined by a known thermodynamic quantity, Ericksen' subenergy. Within this review we will also analyse some of the mathematical and physical aspects of these highly oscillatory problems.
9 citations
01 Nov 1990
TL;DR: In this paper, a Kalman filter is used to separate smooth pursuit from saccadic eye movements after estimation of the beginning and the end of the saccades, which is then recognized as a saccade using a few simple rules.
Abstract: A simple, but efficient, algorithm has been worked out for online analysis of visual tracking signal. This program enables to separate smooth pursuit from saccadic eye movements after estimation of the beginning and the end of the saccades. The used procedure comprises four steps : after having differenciated the eye position signal, a Kalman filter is used, the innovation of which is tested by means of Hinkley stopping rule. The event detected in this way is then recognized as a saccade using a few simple rules.
5 citations