C1-interpolation for vector field topology visualization

Author

Scheuermann, Gerik ; Tricoche, Xavier ; Hagen, Hans

Author_Institution

Dept. of Comput. Sci., Kaiserslautern Univ., Germany

fYear

1999

fDate

29-29 Oct. 1999

Firstpage

271

Lastpage

533

Abstract

An application of C¹ scalar interpolation for 2D vector field topology visualization is presented. Powell-Sabin and Nielson interpolants are considered which both make use of Nielson´s Minimum Norm Network for the precomputation of the derivatives in our implementation. A comparison of their results to the commonly used linear interpolant underlines their significant improvement of singularity location and topological skeleton depiction. Evaluation is based upon the processing of polynomial vector fields with known topology containing higher order singularities.

Keywords

data visualisation; interpolation; topology; 2D vector field topology visualization; C/sup 1/ scalar interpolation; C1-interpolation; Minimum Norm Network; Nielson interpolants; higher order singularities; linear interpolant; polynomial vector fields; precomputation; singularity location; topological skeleton depiction; topology; vector field topology visualization; Computational fluid dynamics; Computer graphics; Computer science; Data mining; Interpolation; Magnetic analysis; Network topology; Skeleton; Vectors; Visualization;

fLanguage

English

Publisher

ieee

Conference_Titel

Visualization '99. Proceedings

Conference_Location

San Francisco, CA, USA

ISSN

1070-2385

Print_ISBN

0-7803-5897-X

Type

conf

DOI

10.1109/VISUAL.1999.809897

Filename

809897