@INPROCEEDINGS{BuPrRu01,
author = {B{\"{u}}rkle, D. and Preu{\ss}er, T. and Rumpf, M.},
title = {Transport and Anisotropic Diffusion in Time-Dependent Flow Visualization},
booktitle = {Visualization},
year = {2001},
abstract = {The visualization of time-dependent flow is an important and challenging
topic in scientific visualization. Its aim is to represent transport
phenomena governed by time-dependent vector fields in an intuitively
understandable way, using images and animations. Here we pick up
the recently presented anisotropic diffusion method, expand and generalize
it to allow a multiscale visualization of long-time, complex transport
problems. Instead of streamline type patterns generated by the original
method now streakline patterns are generated and advected. This process
obeys a nonlinear transport diffusion equation with typically dominant
transport. Starting from some noisy initial image, the diffusion
actually generates and enhances patterns which are then transported
in the direction of the flow field. Simultaneously the image is again
sharpened in the direction orthogonal to the flow field. A careful
adjustment of the model\'s parameters is derived to balance diffusion
and transport effects in a reasonable way. Properties of the method
can be discussed for the continuous model, which is solved by an
efficient upwind finite element discretization. As characteristic
for the class of multiscale image processing methods, we can in advance
select a suitable scale for representing the flow field.},
pdf = {http://numod.ins.uni-bonn.de/research/papers/public/BuPrRu01.pdf},
html = {http://numerik.math.uni-duisburg.de/research/research-sites/preusser/FlowVis/index.html},
printed = {1}
}