Topology-preserving smoothing of vector fields

Citation
R. Westermann et al., Topology-preserving smoothing of vector fields, IEEE VIS C, 7(3), 2001, pp. 222-229
Citations number
33
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Computer Science & Engineering
Journal title
IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS
ISSN journal
1077-2626 → ACNP
Volume
7
Issue
3
Year of publication
2001
Pages
222 - 229
Database
ISI
SICI code
1077-2626(200107/09)7:3<222:TSOVF>2.0.ZU;2-D
Abstract
In this paper, we propose a technique for topology-preserving smoothing of sampled vector fields. The vector field data is first converted into a scal ar representation in which time surfaces implicitly exist as level-sets. We then locally analyze the dynamic behavior of level-sets by placing geometr ic primitives in the scalar field and by subsequently distorting these prim itives with respect to local variations in this field. From the distorted p rimitives, we calculate the curvature normal and we use the normal magnitud e and its direction to separate distinct flow features. Geometrical and top ological considerations are then combined to successively smooth dense flow fields, at the same time retaining their topological structure.