Local and global comparison of continuous functions

Journal Article

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.

Duke Authors

Cited Authors

  • Edelsbrunner, H; Harer, J; Natarajan, V; Pascucci, V

Published Date

  • December 1, 2004

Published In

  • Ieee Visualization 2004 Proceedings, Vis 2004

Start / End Page

  • 275 - 280

Citation Source

  • Scopus