author = {Diewald, U. and Preu{\ss}er, T. and Rumpf, M.},
  title = {Anisotropic Diffusion in Vector Field Visualization on Euclidean
	Domains and Surfaces},
  journal = {IEEE Transactions on Visualization and Computer Graphics},
  year = {2000},
  volume = {6},
  pages = {139--149},
  number = {2},
  abstract = {Anisotropic Diffusion in Vector Field Visualization on Euclidian Domains
	and Surfaces U. Diewald, T. Preusser, M. Rumpf Vector field visualization
	is an important topic in scientific visualization. Its aim is to
	graphically represent field data on two and three-dimensional domains
	and on surfaces in an intuitively understandable way. Here a new
	approach based on anisotropic nonlinear diffusion is introduced.
	It enables an easy perception of vector field data and serves as
	an appropriate scale space method for the visualization of complicated
	flow pattern. The approach 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 intensity is smoothed
	along integral lines, whereas the image is sharpened in the orthogonal
	direction. The method is based on a continuous model and requires
	the solution of a parabolic PDE problem. It is discretized only in
	the final implementational step. Therefore, many important qualitative
	aspects can already be discussed on a continuous level. Applications
	are shown for flow fields in 2D and 3D as well as for principle directions
	of curvature on general triangulated surfaces. Furthermore the provisions
	for flow segmentation are outlined.},
  pdf = { 1},
  printed = {1}