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Extracting level sets from scalar data is a fundamental operation invisualization with many applications. Recently, the concept of level setextraction has been extended to bivariate scalar fields. Prior work on vectorfield equivalence, wherein an analyst marks a region in the domain and is shownother regions in the domain with similar vector values, pointed out the need tomake this extraction operation fast, so that analysts can work interactively.To date, the fast extraction of level sets from bivariate scalar fields has notbeen researched as extensively as for the univariate case. In this paper, wepresent a novel algorithm that extracts fiber lines, i.e., the preimages of socalled control polygons (FSCP), for bivariate 2D data by joint traversal ofbounding volume hierarchies for both grid and FSCP elements. We performed anextensive evaluation, comparing our method to a two-dimensional adaptation ofthe method proposed by Klacansky et al., as well as to the naive approach forfiber line extraction. The evaluation incorporates a vast array ofconfigurations in several datasets. We found that our method provides a speedupof several orders of magnitudes compared to the naive algorithm and requirestwo thirds of the computation time compared to Klacansky et al. adapted for 2D.

Fast Fiber Line Extraction for 2D Bivariate Scalar Fields