Authors
Christoph Garth, University of California, Davis
Han Krishnan, University of California, Davis
Xavier Tricoche, Purdue University
Tom Tricoche, University of Kaiserslauterns
Kenneth I. Joy, University of California, Davis
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TVCG.2008.133
Presentation Slides [PDF]
Abstract
We present a novel approach for the direct computation of integral surfaces in time-dependent 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 existing techniques. We first describe an algorithm for surface integration that approximates a series of time lines using iterative refinement and computes a skeleton of the integral surface. In a second step, we generate a well-conditioned triangulation. Our 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 investigate some visualization aspects of integral surfaces.
Citation
Christoph Garth, Han Krishnan, Xavier Tricoche, Tom Tricoche, Kenneth I. Joy, “Generation of Accurate Integral Surfaces in Time-Dependent Vector Fields,” IEEE Transactions on Visualization and Computer Graphics, vol. 14, no. 6, pp. 1404-1411, Nov/Dec, 2008