Hierarchical Solutions for the Deformable Surface Problem in Visualization

In this paper we present a hierarchical approach for the deformable surface technique. This technique is a three dimensional extension of the snake segmentation method. We use it in the context of visualizing three dimensional scalar data sets. In contrast to classical indirect volume visualization methods, this reconstruction is not based on iso-values but on boundary information derived from discontinuities in the data. We propose a multilevel adaptive finite difference solver, which generates a target surface minimizing an energy functional based on an internal energy of the surface and an outer energy induced by the gradient of the volume. The method is attractive for pre-processing in numerical simulation or texture mapping. Red-green triangulation allows adaptive refinement of the mesh. Special considerations help to prevent self inter-penetration of the surfaces. We will also show some technqiues, that introduce the hierarchical aspect into the inhomogeneity of the partial diff...

• Type: Journal
• Year: 2000
• Where: CVGIP
• Authors: Christoph Lürig, Leif Kobbelt, Thomas Ertl
• Keywords: CVGIP 2000, Data Sets, Deformable Surface Technique, Dimensional Scalar Data