title: Generation of accurate integral surfaces in time-dependent vector fields.
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.
authors.affiliation: Institute of Data Analysis and Visualization, University of California, Davis, CA, USA. cgarth@ucdavis.edu
authors.forename: Christoph
authors.initials: C
authors.lastname: Garth
authors.forename: Han
authors.initials: H
authors.lastname: Krishnan
authors.forename: Xavier
authors.initials: X
authors.lastname: Tricoche
authors.forename: Tom
authors.initials: T
authors.lastname: Bobach
authors.forename: Kenneth I
authors.initials: KI
authors.lastname: Joy