Towards Topology-Rich Visualization/Analysis

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Presentation transcript:

Towards Topology-Rich Visualization/Analysis Attila Gyulassy SCI Institute, University of Utah Co-laborers: Peer-Timo Bremer, Valerio Pascucci

Why topology-based analysis? Experts think: Topology-based analysis is good! Structural multi-resolution representation of a function Combinatorial algorithms for its computation Extracting features = querying structure

Why topology-based analysis? Josh is ugly!!

The Morse-Smale Complex

Topology simplification

Idealized Topological Analysis Pipeline Compute topology representation Data acquisition Filtering/ simplification Final analysis

Closing the loop What am I looking for? Hypothesis of feature definition

Closing the loop What am I looking for? Hypothesis of feature definition

Basis for Feature Space

Intrinsic Features (1) Critical Points

Intrinsic Features (2) Arcs

Intrinsic Features (3) Basins/Mountains

Intrinsic Features (4) Separatrices

Feature Visualization Critical points / Arcs Spheres/Tubes where color/radius can be specified 2-Manifolds Locally rescaled transfer functions 3-Manifolds Segment space, local transfer functions possible

MSC DS & Queries

Examples