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Local and global comparison of continuous functions

Publication ,  Journal Article
Edelsbrunner, H; Harer, J; Natarajan, V; Pascucci, V
Published in: IEEE Visualization 2004 - Proceedings, VIS 2004
December 1, 2004

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. © 2004 IEEE.

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Published In

IEEE Visualization 2004 - Proceedings, VIS 2004

Publication Date

December 1, 2004

Start / End Page

275 / 280
 

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Edelsbrunner, H., Harer, J., Natarajan, V., & Pascucci, V. (2004). Local and global comparison of continuous functions. IEEE Visualization 2004 - Proceedings, VIS 2004, 275–280.
Edelsbrunner, H., J. Harer, V. Natarajan, and V. Pascucci. “Local and global comparison of continuous functions.” IEEE Visualization 2004 - Proceedings, VIS 2004, December 1, 2004, 275–80.
Edelsbrunner H, Harer J, Natarajan V, Pascucci V. Local and global comparison of continuous functions. IEEE Visualization 2004 - Proceedings, VIS 2004. 2004 Dec 1;275–80.
Edelsbrunner, H., et al. “Local and global comparison of continuous functions.” IEEE Visualization 2004 - Proceedings, VIS 2004, Dec. 2004, pp. 275–80.
Edelsbrunner H, Harer J, Natarajan V, Pascucci V. Local and global comparison of continuous functions. IEEE Visualization 2004 - Proceedings, VIS 2004. 2004 Dec 1;275–280.

Published In

IEEE Visualization 2004 - Proceedings, VIS 2004

Publication Date

December 1, 2004

Start / End Page

275 / 280