A continuous clustering method for vector fields
Proceedings of the conference on Visualization '00
Anisotropic geometric diffusion in surface processing
Proceedings of the conference on Visualization '00
Anisotropic smoothing of point sets
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
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Vector field visualization is an important topic in scientific visualization.Its aim is to graphically represent field data in an intuitivelyunderstandable and precise way. Here a new approach based onanisotropic nonlinear diffusion is introduced. It enables an easy perceptionof flowdata and serves as an appropriate scale space methodfor the visualization of complicated flow pattern. The approachis closely related to nonlinear diffusion methods in image analysiswhere images are smoothed while still retaining and enhancingedges. Here an initial noisy image is smoothed along streamlines,whereas the image is sharpened in the orthogonal direction. Themethod is based on a continuous model and requires the solutionof a parabolic PDE problem. It is discretized only in the final implementationalstep. Therefore, many important qualitative aspectscan already be discussed on a continuous level. Applications areshown in 2D and 3D and the provisions for flow segmentation areoutlined.