Isodiamond Hierarchies: An Efficient Multiresolution Representation for Isosurfaces and Interval Volumes

Efficient multiresolution representations for isosurfaces and interval volumes are becoming increasingly important as the gap between volume data sizes and processing speed continues to widen. Our multiresolution scalar field model is a hierarchy of tetrahedral clusters generated by longest edge bisection, that we call a hierarchy of diamonds. We propose two multiresolution models for representing isosurfaces, or interval volumes, extracted from a hierarchy of diamonds which exploit its regular structure. These models are defined by subsets of diamonds in the hierarchy, that we call isodiamonds, which are enhanced with geometric and topological information for encoding the relation between the isosurface, or interval volume, and the diamond itself. The first multiresolution model, called a relevant isodiamond hierarchy, encodes the isodiamonds intersected by the isosurface, or interval volume, as well as their non-intersected ancestors, while the second model, called a minimal isodiamo...

• Type: Journal
• Year: 2010
• Where: TVCG
• Authors: Kenneth Weiss, Leila De Floriani
• Keywords: Artificial Intelligence, Interval Volume, Isodiamond Hierarchy, Multiresolution Scalar Field, TVCG 2010