The configuration space of a physical system is a differentiable manifold M. The state of a system is given by a point x in M and a tangent vector v at x, the velocity of the configuration. Call the tangent bundle T M of M the state space of the system (though the phrase " velocity phase space " is often used). A dynamical variable is a possibly time-dependent function on state space. Newtonian...

Illustrative parallel coordinates (IPC) is a suite of artistic rendering techniques for augmenting and improving parallel coordinate (PC) visualizations. IPC techniques can be used to convey a large amount of information about a multidimensional dataset in a small area of the screen through the following approaches: (a) edge-bundling through splines; (b) visualization of “branched ” clusters to...

Recognized as great works of world literature, Shakespeare’s poems and plays have been translated into dozens of languages for over 300 years. Also, there are many re-translations into the same language, for example, there are more than 60 translations of Othello into German. Every translation is a different interpretation of the play. These large quantities of translations reflect changing cul...

There is increasing interest in the recovery of generalized cylinders (GCs) with curved spines. However, existing formulations of such GCs, for example those based on the Frenet-Serret frame or the tube model, suuer serious drawbacks: discontinuities, a lack of expressive power, \narrowing" in the plane normal to the spine, non-intuitive twisting behavior, and/or oo-axis nonorthogonality of the...

When considering log files for security, usual applications available today either look for patterns using signature databases or use a behavioral approach. In both cases, information can be missed. The problem becomes bigger with systems receiving a massive amount of logs. Parallel coordinates is an answer to display an infinity of events in multiple dimensions. As security data are multivaria...

This paper applies a fully post-Newtonian theory (Damour et al. 1991, 1992, 1993, 1994) to the problem of gauge in relativistic reference systems. Gauge fixing is necessary when the precision of time measurement and application reaches 10−16 or better. We give a general procedure for fixing the gauges of gravitational potentials in both the global and local coordinate systems, and for determini...

This work presents a survey of the current state of the art of visualization techniques for parallel coordinates. It covers geometric models for constructing parallel coordinates and reviews methods for creating and understanding visual representations of parallel coordinates. The classification of these methods is based on a taxonomy that was established from the literature and is aimed at gui...