author = {Becker, J. and Preu{\ss}er, T. and Rumpf, M.},
  title = {{PDE} Methods in Flow Simulation Post Processing},
  journal = {Computing and Visualization in Science},
  year = {2000},
  volume = {3},
  pages = {159--167},
  number = {3},
  abstract = {Vector field visualization is an important topic in scientific visualization.
	The aim is to graphically represent field data in an intuitively
	understandable and precise way. Two novel methods are described which
	enable an easy perception of flow data. The texture transport method
	especially applies to timedependent velocity fields. Lagrangian coordinates
	are computed solving the corresponding linear transport equations
	numerically. Choosing an appropriate texture on the reference frame
	the coordinate mapping can be applied as a suitable texture mapping.
	Alternatively, the aligned diffusion methods serves as an appropriate
	scale space method for the visualization of complicated flow patterns.
	It is closely related to nonlinear diffusion methods in image analysis
	where images are smoothed while still retaining and enhancing edges.
	Here an initial noisy image is smoothed along streamlines, whereas
	the image is sharpened in the orthogonal direction. The two methods
	have in common that they are based on a continuous model and discretized
	only in the final implementational step. Therefore, many important
	properties are naturally established already in the continuous model.},
  pdf = { 1}