Generation of Accurate Integral Surfaces in Time-Dependent Vector Fields

Generation of Accurate Integral Surfaces in Time-Dependent Vector Fields

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 graph...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on visualization and computer graphics Vol. 14; no. 6; pp. 1404 - 1411
Main Authors: Garth, Christoph, Krishnan, Han, Tricoche, Xavier, Bobach, Tom, Joy, Kenneth I.
Format: Journal Article
Language:English
Published: United States IEEE 01-11-2008
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
3D vector field visualization
Algorithms
Analytical models
Approximation
Computation
Computational fluid dynamics
Computational modeling
Data analysis
Electronic mail
flow visualization
Fluid flow measurement
Index Terms&#8212
Integrals
Iterative algorithms
Mathematical analysis
Mathematical models
Skeleton
surface extraction
Surface treatment
time-varying and time-series visualization
Vectors (mathematics)
Visualization
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ObjectType-Article-1
ObjectType-Feature-2
ISSN:1077-2626
1941-0506
DOI:10.1109/TVCG.2008.133