Math @ Duke
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Publications [#43992] of John Harer
Papers Published
- with H. Edelsbrunner, V. Natarajan, V. Pascucci., Local and Global Comparison of Continuous Functions,
Proc. IEEE Conf. Visualization, 2004, 275-280.
(2004),
pp. 275-280
(last updated on 2005/12/18)
Abstract: 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.
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