---
_id: '3989'
abstract:
- lang: eng
text: We introduce local and global comparison measures for a collection of k less
than or equal to 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 ace easy to compute.
The computation of the measures forms the centerpiece of a software tool which
we use to study scientific datasets.
author:
- first_name: Herbert
full_name: Herbert Edelsbrunner
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: John
full_name: Harer, John
last_name: Harer
- first_name: Vijay
full_name: Natarajan, Vijay
last_name: Natarajan
- first_name: Valerio
full_name: Pascucci, Valerio
last_name: Pascucci
citation:
ama: 'Edelsbrunner H, Harer J, Natarajan V, Pascucci V. Local and global comparison
of continuous functions. In: IEEE; 2004:275-280. doi:10.1109/VISUAL.2004.68'
apa: 'Edelsbrunner, H., Harer, J., Natarajan, V., & Pascucci, V. (2004). Local
and global comparison of continuous functions (pp. 275–280). Presented at the
VIS: IEEE Visualization, IEEE. https://doi.org/10.1109/VISUAL.2004.68'
chicago: Edelsbrunner, Herbert, John Harer, Vijay Natarajan, and Valerio Pascucci.
“Local and Global Comparison of Continuous Functions,” 275–80. IEEE, 2004. https://doi.org/10.1109/VISUAL.2004.68.
ieee: 'H. Edelsbrunner, J. Harer, V. Natarajan, and V. Pascucci, “Local and global
comparison of continuous functions,” presented at the VIS: IEEE Visualization,
2004, pp. 275–280.'
ista: 'Edelsbrunner H, Harer J, Natarajan V, Pascucci V. 2004. Local and global
comparison of continuous functions. VIS: IEEE Visualization, 275–280.'
mla: Edelsbrunner, Herbert, et al. Local and Global Comparison of Continuous
Functions. IEEE, 2004, pp. 275–80, doi:10.1109/VISUAL.2004.68.
short: H. Edelsbrunner, J. Harer, V. Natarajan, V. Pascucci, in:, IEEE, 2004, pp.
275–280.
conference:
name: 'VIS: IEEE Visualization'
date_created: 2018-12-11T12:06:18Z
date_published: 2004-10-01T00:00:00Z
date_updated: 2021-01-12T07:53:41Z
day: '01'
doi: 10.1109/VISUAL.2004.68
extern: 1
month: '10'
page: 275 - 280
publication_status: published
publisher: IEEE
publist_id: '2137'
quality_controlled: 0
status: public
title: Local and global comparison of continuous functions
type: conference
year: '2004'
...