Topological Analysis of Inertial Dynamics

Autor(es)

Sagrista, Antoni ; Jordan, Stefan ; Just, Andreas ; Dias, Fabio ; Nonato, Luis Gustavo ; Sadlo, Filip

• Tipo de documento: Artigo Científico
• Fonte: IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS; v. 23, n. 1, p. 950-959, JAN 2017.
• Citações Web of Science: 4

Resumo

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)

• Processo FAPESP: 11/22749-8 - Desafios em visualização exploratória de dados multidimensionais: novos paradigmas, escalabilidade e aplicações
• Beneficiário: Luis Gustavo Nonato
• Linha de fomento: Auxílio à Pesquisa - Temático
• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: José Alberto Cuminato
• Linha de fomento: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs
• Processo FAPESP: 14/12815-1 - Morfologia matemática em grafos: métodos e aplicações em visualização de dados
• Beneficiário: Fábio Augusto Salve Dias
• Linha de fomento: Bolsas no Brasil - Pós-Doutorado