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2015 IEEE Pacific Visualization Symposium (PacificVis) (2015)
Hangzhou, China
April 14, 2015 to April 17, 2015
ISBN: 978-1-4673-6879-7
pp: 141-145
Keqin Wu , I. M. Systems Group (IMSG) at NOAA, USA
Song Zhang , Mississippi State University, USA
This paper describes an effort to create new visualizations by exploiting hierarchical scalar topology. First, we build a hierarchical topology through synchronously constructing and simplifying Contour Tree (CT) and Morse-Smale (MS) complex of scalar fields. We then introduce three algorithms based on the hierarchical topology: (1) topology-based multi-resolution contouring — an overview provided for a scalar field by extracting iso-values from the simplified CT and tracing approximate contours across the MS complex cells; (2) topology based spaghetti plots for uncertainty — a seeding scheme based on the hierarchical topology for visualizing uncertainty among ensemble scalar data; (3) virtual ribbons — a new scheme for visualizing multivariate data invented by overlapping visual ribbons which encode the scalar variation of a region covered by uniform contours. We compare the new approaches with current alternatives.
Approximation methods, Topology, Data visualization, Visualization, Uncertainty, Feature extraction, Image color analysis

Keqin Wu and S. Zhang, "Visualizing 2D scalar fields with hierarchical topology," 2015 IEEE Pacific Visualization Symposium (PacificVis)(PACIFICVIS), Hangzhou, China, 2015, pp. 141-145.
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