In the following we reproduce, translated into English, a section of Volumetto II, a notebook written by Majorana in 1928 when he was still a Physics student at the University of Rome (see S. Esposito, E. Majorana jr, A. van der Merwe and E. Recami (eds.) Ettore Majorana: Notes on Theoretical Physics, Kluwer, New York, 2003). This study was performed by the author when he was preparing his Thes...

Sequential Bayesian filters, such as particle filters, are often presented as an ideal means of tracking the state of nonlinear systems. Here shadowing filters are demonstrated to perform better than sequential filters at tracking under specific circumstances. The success of shadowing filters is attributed to avoiding both well-known deficiencies of particle filters, and some newly identified p...

Particle filter methods based on color distribution can be used to track non-rigid moving objects in color videos. They are robust in case of noise or partial occlusions. However, using particle filters on color videos is sensitive to changes in the lighting conditions of the scene. The use of thermal infrared image sequences can help the tracking process, as thermal infrared imagery is not sen...

During the past decade massively parallel processors (MPPs) have slowly gained acceptancewithin the scientiic community. At present these machines typically contain a few hundred to one thousand oo-the-shelf microprocessors and a total memory of up to 32 GBytes. The potential performance of these machines is illustrated by the fact that a month long job on a high end workstation might require o...

This paper presents methods for the determination of players' positions and contact time points by tracking the players and the ball in beach volleyball videos. Two player tracking methods are compared, a classical particle filter and a rigid grid integral histogram tracker. Due to mutual occlusion of the players and the camera perspective, results are best for the front players, with 74,6% and...

In this paper, we propose a novel approach for multi-object tracking for video surveillance with a single static camera using particle filtering and data association. The proposed method allows for real-time tracking and deals with the most important challenges: 1) selecting and tracking real objects of interest in noisy environments and 2) managing occlusion. We will consider tracker inputs fr...

In the study of dynamic gesture recognition, gesture tracking must be performed reliably in real-time for sufficiently long periods when there is too much background interference. To deal with these problems effectively, an improved particle filter algorithm is proposed in order to track the moving hand quickly and accurately. Firstly, the algorithm improves the traditional hand model and prese...

This paper describes a 3D template-based tracking method that allows simultaneous tracking of multiple objects of different type. The assumption is that movements of all objects are constrained to a ground plane so that the tracking functionality can be accomplished using just one properly calibrated camera. The tracking algorithm is based on particle filtering where each particle represents on...

Multi-target tracking is the main purpose of many video surveillance applications. Recently, multi-target tracking based on the particle filter method has achieved robust results by using the data association process. However, this method requires many calculations and it is inadequate for real time applications, because the number of associations exponentially increases with the number of meas...