Local and Global Comparison of Continuous Functions

Austin, Texas October 10-October 15

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http://doi.ieeecomputersociety.org/10.1109/VISUAL.2004.68

15th IEEE Visualization 2004 (VIS 2004)

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	ASCII Text	x
	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	x
	@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," vis, pp.275-280, 15th IEEE Visualization 2004 (VIS 2004), 2004

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