Topology Verification for Isosurface Extraction

—The broad goals of verifiable visualization rely on correct algorithmic implementations. We extend a framework for verification of isosurfacing implementations to check topological properties. Specifically, we use stratified Morse theory and digital topology to design algorithms which verify topological invariants. Our extended framework reveals unexpected behavior and coding mistakes in popular publicly available isosurface codes.

• Type: Journal
• Year: 2012
• Where: TVCG
• Authors: Tiago Etiene, Luis Gustavo Nonato, Carlos Eduardo Scheidegger, Julien Tierny, Thomas J. Peters, Valerio Pascucci, Robert M. Kirby, Cláudio T. Silva
• Keywords: Hardware, Morse Theory, Topological Properties, TVCG 2012, Unexpected Behavior