| Full text | |
| Author(s): |
Sagrista, Antoni
;
Jordan, Stefan
;
Just, Andreas
;
Dias, Fabio
;
Nonato, Luis Gustavo
;
Sadlo, Filip
Total Authors: 6
|
| Document type: | Journal article |
| Source: | IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS; v. 23, n. 1, p. 950-959, JAN 2017. |
| Web of Science Citations: | 4 |
| Abstract | |
Traditional vector field visualization has a close focus on velocity, and is typically constrained to the dynamics of massless particles. In this paper, we present a novel approach to the analysis of the force-induced dynamics of inertial particles. These forces can arise from acceleration fields such as gravitation, but also be dependent on the particle dynamics itself, as in the case of magnetism. Compared to massless particles, the velocity of an inertial particle is not determined solely by its position and time in a vector field. In contrast, its initial velocity can be arbitrary and impacts the dynamics over its entire lifetime. This leads to a four-dimensional problem for 2D setups, and a six-dimensional problem for the 3D case. Our approach avoids this increase in dimensionality and tackles the visualization by an integrated topological analysis approach. We demonstrate the utility of our approach using a synthetic time-dependent acceleration field, a system of magnetic dipoles, and N-body systems both in 2D and 3D. (AU) | |
| FAPESP's process: | 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry |
| Grantee: | Francisco Louzada Neto |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |
| FAPESP's process: | 14/12815-1 - Mathematical morphology in graphs: methods and applications in data visualization |
| Grantee: | Fábio Augusto Salve Dias |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 11/22749-8 - Challenges in exploratory visualization of multidimensional data: paradigms, scalability and applications |
| Grantee: | Luis Gustavo Nonato |
| Support Opportunities: | Research Projects - Thematic Grants |