Cusps of Characteristic Curves and Intersection-aware Visualization of Path and 
Streak Lines

Weinkauf, Tino; Theisel, Holger; Sorkine, Olga

doi:10.1007/978-3-642-23175-9_11

Datensatz

DATENSATZ AKTIONENEXPORT

Zur Ablage hinzufügen

Lokale TagsFreigabegeschichteDetailsÜbersicht

Freigegeben

Buchkapitel

Cusps of Characteristic Curves and Intersection-aware Visualization of Path and Streak Lines

MPG-Autoren

/persons/resource/persons123492

Weinkauf, Tino
Computer Graphics, MPI for Informatics, Max Planck Society;

Externe Ressourcen

Es sind keine externen Ressourcen hinterlegt

Volltexte (beschränkter Zugriff)

Für Ihren IP-Bereich sind aktuell keine Volltexte freigegeben.

Volltexte (frei zugänglich)

Es sind keine frei zugänglichen Volltexte in PuRe verfügbar

Ergänzendes Material (frei zugänglich)

Es sind keine frei zugänglichen Ergänzenden Materialien verfügbar

Zitation

Weinkauf, T., Theisel, H., & Sorkine, O. (2012). Cusps of Characteristic Curves and Intersection-aware Visualization of Path and Streak Lines. In R. Peikert, H. Hauser, H. Car, & R. Fuchs (Eds.), Topological Methods in Data Analysis and Visualization II (pp. 161-176). New York, NY: Springer.

Zitierlink: https://hdl.handle.net/11858/00-001M-0000-0015-0DDF-2

Zusammenfassung

We analyze characteristic curves of vector fields and report on locations where they have cusps in their spatial projection, i.e., isolated points on the curve with abruptly turning tangent direction. Cusps appear in places where a projection of the corresponding tangent curve vector field exhibits critical points. We show that such cusps are only possible for streak and path lines, whereas they cannot appear on stream and time lines. Cusps turn out to be closely related to self-intersections of characteristic curves. We utilize this information in a new algorithm to create uncluttered static visualizations of path and streak lines.