Cusps of Characteristic Curves and Intersection-Aware Visualization of Path and Streak Lines
2012 (English)In: Topological Methods in Data Analysis and Visualization II / [ed] Peikert, R.; Hauser, H.; Carr, H.; Fuchs, R., Springer , 2012, 161-176 p.Chapter in book (Other academic)Text
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.
Place, publisher, year, edition, pages
Springer , 2012. 161-176 p.
, Mathematics and Visualization
Research subject Computer Science; SRA - E-Science (SeRC)
IdentifiersURN: urn:nbn:se:kth:diva-184781OAI: oai:DiVA.org:kth-184781DiVA: diva2:916779
QC 201604052016-04-042016-04-042016-04-05Bibliographically approved