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We took advantage of 3D field topology analysis to automate visualization design for volume data mining. We extended the conventional Reeb graph-based approach to capture the topological skeleton of a volumetric field. Based on the analysis results, which are represented in the form of hyper Reeb graphs, we propose two methods for effective geometric object fitting and two principles to design-appropriate color/opacity transfer functions for direct volume rendering. We performed a feasibility study of the proposed methodology using a large-scale 4D simulated data set from atomic collision research.
Volume visualization, visual data mining, serendipity, comprehensible rendering, transfer function, isosurface, Reeb graph.

T. Azuma, S. Takahashi, Y. Takeshima and I. Fujishiro, "Volume Data Mining Using 3D Field Topology Analysis," in IEEE Computer Graphics and Applications, vol. 20, no. , pp. 46-51, 2000.
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