The art to keep in touch: The ''good use'' of Lagrange multipliers

Physically-based modeling for computer animation allows to produce more realistic motions in less time without requiring the expertise of skilled animators. But, a computer animation is not only a numerical simulation based on classical mechanics since it follows a precise story-line. One common way to define aims in an animation is to add geometric constraints. There are several methods to manage these constraints within a physically-based framework. In this paper, we present an algorithm for constraints handling based on Lagrange multipliers. After few remarks on the equations of motion that we use, we present a first algorithm proposed by Platt. We show with a simple example that this method is not reliable. Our contribution consists in improving this algorithm to provide an efficient and robust method to handle simultaneous active constraints.

Neural Networks as Cybernetic Systems (3rd and revised edition) - Part I

Neural Networks as Cybernetic Systems is a textbox that combines classical systems theory with artificial neural network technology. This third edition essentially compares with the 2nd one, but has been improved by correction of errors and by a rearrangement and minor expansion of the sections referring to recurrent networks. These changes hopefully allow for an easier comprehension of the essential aspects of this important domain that has received growing attention during the last years.

Neural Networks as Cybernetic Systems (3rd and revised edition) - Part 2

eural Networks as Cybernetic Systems is a textbox that combines classical systems theory with artificial neural network technology. This third edition essentially compares with the 2nd one, but has been improved by correction of errors and by a rearrangement and minor expansion of the sections referring to recurrent networks. These changes hopefully allow for an easier comprehension of the essential aspects of this important domain that has received growing attention during the last years.

E-Learning-Webseite als facettenreiches Werkzeug in Forschung und Lehre

Im Rahmen des blended learning kann eine E-Learning-Webseite als Begleitmaterial einer Lehrveranstaltung eingesetzt werden oder Studierende zur aktiven Teilnahme an der Erstellung der Webseiteninhalte anregen. Darüber hinaus eignet sich eine solche Webseite als Plattform zur E-Learning-Forschung. Auch empirische Studien können dort eingebettet werden. Eine weitere wissenschaftliche Anwendung bietet die Analyse des Nutzerverhaltens, mit der sich aktuelle Forschungsergebnisse zum Lernen mit Hypermedien überprüfen lassen. Wir beschreiben eine solche, vielseitig einsetzbare Webseite, die eine Verknüpfung von universitärer Lehre und Forschung ermöglicht und als Anregung für ähnliche Projekte dienen kann. Erste Erfahrungen werden dabei berichtet und ausgewählte Empfehlungen für Dozierende und Forscher abgeleitet.