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- W4254261567 abstract "In this paper, we present a topological approach for simplifying continuous functions defined on volumetric domains. We introduce two atomic operations that remove pairs of critical points of the function and design a combinatorial algorithm that simplifies the Morse-Smale complex by repeated application of these operations. The Morse-Smale complex is a topological data structure that provides a compact representation of gradient flow between critical points of a function. Critical points paired by the Morse-Smale complex identify topological features and their importance. The simplification procedure leaves important critical points untouched, and is therefore useful for extracting desirable features. We also present a visualization of the simplified topology." @default.
- W4254261567 created "2022-05-12" @default.
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- W4254261567 date "2006-10-11" @default.
- W4254261567 modified "2023-10-16" @default.
- W4254261567 title "Topology-based Simplification for Feature Extraction from 3D Scalar Fields" @default.
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- W4254261567 doi "https://doi.org/10.1109/visual.2005.1532839" @default.
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