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15th IEEE Visualization 2004 (VIS 2004)
Local and Global Comparison of Continuous Functions
Austin, Texas
October 10-October 15
ISBN: 0-7803-8788-0
ASCII Text
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Herbert Edelsbrunner, John Harer, Vijay Natarajan, Valerio Pascucci, "Local and Global Comparison of Continuous Functions," Visualization Conference, IEEE, pp. 275-280, 15th IEEE Visualization 2004 (VIS 2004), 2004.
 
 
BibTex
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@article{ 10.1109/VISUAL.2004.68,
author = {Herbert Edelsbrunner and John Harer and Vijay Natarajan and Valerio Pascucci},
title = {Local and Global Comparison of Continuous Functions},
journal ={Visualization Conference, IEEE},
volume = {0},
year = {2004},
isbn = {0-7803-8788-0},
pages = {275-280},
doi = {http://doi.ieeecomputersociety.org/10.1109/VISUAL.2004.68},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Visualization Conference, IEEE
TI - Local and Global Comparison of Continuous Functions
SN - 0-7803-8788-0
SP275
EP280
A1 - Herbert Edelsbrunner,
A1 - John Harer,
A1 - Vijay Natarajan,
A1 - Valerio Pascucci,
PY - 2004
KW - Visualization
KW - Riemannian manifolds
KW - smooth functions
KW - time-varying data
KW - comparison measure
KW - differential forms
VL - 0
JA - Visualization Conference, IEEE
ER -
 
Herbert Edelsbrunner, Duke University and Raindrop Geomagic
John Harer, Duke University
Vijay Natarajan, Duke University
Valerio Pascucci, Lawrence Livermore National Laboratory
We introduce local and global comparison measures for a collection of k ≤ d real-valued smooth functions on a common d-dimensional Riemannian manifold. For k = d = 2 we relate the measures to the set of critical points of one function restricted to the level sets of the other. The definition of the measures extends to piecewise linear functions for which they are easy to compute. The computation of the measures forms the centerpiece of a software tool which we use to study scientific datasets.
Index Terms:
Visualization, Riemannian manifolds, smooth functions, time-varying data, comparison measure, differential forms
Citation:
Herbert Edelsbrunner, John Harer, Vijay Natarajan, Valerio Pascucci, "Local and Global Comparison of Continuous Functions," ieee_vis, pp.275-280, 15th IEEE Visualization 2004 (VIS 2004), 2004
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