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10th IEEE Visualization 1999 (VIS '99)
C1-Interpolation for Vector Field Topology Visualization
San Francisco, CA
October 25-October 28
ISBN: 0-7803-5897-X
ASCII Text
x 
 
Gerik Scheuermann, Xavier Tricoche, Hans Hagen, "C1-Interpolation for Vector Field Topology Visualization," Visualization Conference, IEEE, pp. 43, 10th IEEE Visualization 1999 (VIS '99), 1999.
 
 
BibTex
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@article{ 10.1109/VISUAL.1999.809897,
author = {Gerik Scheuermann and Xavier Tricoche and Hans Hagen},
title = {C1-Interpolation for Vector Field Topology Visualization},
journal ={Visualization Conference, IEEE},
volume = {0},
year = {1999},
issn = {1070-2385},
pages = {43},
doi = {http://doi.ieeecomputersociety.org/10.1109/VISUAL.1999.809897},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Visualization Conference, IEEE
TI - C1-Interpolation for Vector Field Topology Visualization
SN - 1070-2385
SP
EP
A1 - Gerik Scheuermann,
A1 - Xavier Tricoche,
A1 - Hans Hagen,
PY - 1999
KW - vector field visualization
KW - topology
KW - critical point theory
KW - C¹-interpolation
VL - 0
JA - Visualization Conference, IEEE
ER -
 
Gerik Scheuermann, University of Kaiserslautern
Xavier Tricoche, University of Kaiserslautern
Hans Hagen, University of Kaiserslautern
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. Evalution is based upon the processing of polynomial vector fields with known topology containing higher order singularities.
Index Terms:
vector field visualization, topology, critical point theory, C¹-interpolation
Citation:
Gerik Scheuermann, Xavier Tricoche, Hans Hagen, "C1-Interpolation for Vector Field Topology Visualization," ieee_vis, pp.43, 10th IEEE Visualization 1999 (VIS '99), 1999
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