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2008
IEEE

Generation of Accurate Integral Surfaces in Time-Dependent Vector Fields

11 years 11 months ago
Generation of Accurate Integral Surfaces in Time-Dependent Vector Fields
We present a novel approach for the direct computation of integral surfaces in general vector fields. As opposed to previous work, which we analyze in detail, our approach is based on a separation of integral surface computation into two stages: surface approximation and generation of a graphical representation. This allows us to overcome several limitations of previous techniques. We first describe an algorithm for surface integration that approximates a series of timelines using iterative refinement and computes a skeleton of the integral surface. In a second step, we generate a well-conditioned triangulation. The presented approach allows a highly accurate treatment of very large time-varying vector fields in an efficient, streaming fashion. We examine the properties of the presented methods on several example datasets and perform a numerical study of its correctness and accuracy. Finally, we examine some visualization aspects of integral surfaces.
Christoph Garth, Hari Krishnan, Xavier Tricoche,
Added 03 Nov 2009
Updated 04 Nov 2009
Type Conference
Year 2008
Where VIS
Authors Christoph Garth, Hari Krishnan, Xavier Tricoche, Tom Bobach, Kenneth I. Joy
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