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TitleExploring Scalar Fields Using Critical Isovalues (In Proceedings)
inIEEE Visualization 2002
Author(s) Gunther H. Weber, Gerik Scheuermann, Bernd Hamann, Hans Hagen
Editor(s) Robert J. Moorhead, Markus Gross, Ken Joy
Keyword(s)scalar field topology, critical point, volume visualization, data exploration, isosurfaces, marching cubes
Year October 2002
LocationBoston, MA
DateOctober 27--November 1, 2002
PublisherIEEE Computer Society Press
AddressLos Alamitos, CA
OrganizationIEEE
Pages171--178
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Abstract Isosurfaces are commonly used to visualize scalar fields. Critical isovalues indicate isosurface topology changes: the creation of new surface components, merging of surface components or the formation of holes in a surface component. Therefore, they highlight ``interesting'' isosurface behavior and are helpful in exploration of large trivariate data sets. We present a method that detects critical isovalues in a scalar field defined by piecewise trilinear interpolation over a rectilinear grid and describe how to use them when examining volume data. We further review varieties of the Marching Cubes (MC) algorithm, with the intention to preserve topology of the trilinear interpolant when extracting an isosurface. We combine and extend two approaches in such a way that it is possible to extract meaningful isosurfaces even when a critical value is chosen as isovalue.