Sharma, M and Natarajan, V (2022) Jacobi Set Driven Search for Flexible Fiber Surface Extraction. In: Proceedings - 2022 IEEE Workshop on Topological Data Analysis and Visualization, TopoInVis 2022, 17 October 2022, Virtual, Online, pp. 49-58.
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Abstract
Isosurfaces are an important tool for analysis and visualization of univariate scalar fields. Earlier works have demonstrated the presence of interesting isosurfaces at isovalues close to critical values. This motivated the development of efficient methods for computing individual components of isosurfaces restricted to a region of interest. Generalization of isosurfaces to fiber surfaces and critical points to Jacobi sets has resulted in new approaches for analyzing bivariate scalar fields. Unlike isosurfaces, there exists no output sensitive method for computing fiber surfaces. Existing methods traverse through all the tetrahedra in the domain. In this paper, we propose the use of the Jacobi set to identify fiber surface components of interest and present an output sensitive approach for its computation. The Jacobi edges are used to initiate the search towards seed tetrahedra that contain the fiber surface, thereby reducing the search space. This approach also leads to effective analysis of the bivariate field by supporting the identification of relevant fiber surfaces near Jacobi edges. © 2022 IEEE.
| Item Type: | Conference Paper |
|---|---|
| Publication: | Proceedings - 2022 IEEE Workshop on Topological Data Analysis and Visualization, TopoInVis 2022 |
| Publisher: | Institute of Electrical and Electronics Engineers Inc. |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Keywords: | Data visualization; Fibers; Geometry; Image segmentation, Applications domains; Bivariate; Fibre surfaces; Human-centered computing; Iso surface; Scalar fields; Visualization application; Visualization application domain; Visualization technique, Visualization |
| Department/Centre: | Division of Electrical Sciences > Computer Science & Automation |
| Date Deposited: | 03 Feb 2023 04:32 |
| Last Modified: | 03 Feb 2023 04:32 |
| URI: | https://eprints.iisc.ac.in/id/eprint/79809 |
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