Flexible Fiber Surface: A Reeb-Free Approach
Abstract
The fiber surface generalizes the popular isosurface to multi-fields, visu- alizing the pre-images as surfaces. As with isosurfaces, however, fiber surface com- ponent may suffer from visual occlusion. The flexible isosurface avoids occlusion of components by tracking them topologically in the contour tree, at some cost to user comprehension. For the fiber surface, this requires computing the Reeb space, which poses further issues in comprehension. However, the flexible isosurface can also be defined as a set of user interactions, and we extend this notion to provide the flexible fiber surface, without pre-computing the global topology. Our on-demand tracking of surfaces is Reeb-free, as it does not require the explicit computation of the Reeb graph nor Reeb space. We study our geometrical approach taking into account how the semantics in the flexible isosurface generalizes to the Reeb-free multi-field analysis.