Title :
Local and global comparison of continuous functions
Author :
Edelsbrunner, H. ; Harer, J. ; Natarajan, V. ; Pascucci, V.
Author_Institution :
Dept. of Comput. Sci. & Math., Duke Univ., Durham, NC, USA
Abstract :
We introduce local and global comparison measures for a collection of k /spl les/ 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.
Keywords :
data visualisation; functions; piecewise linear techniques; Riemannian manifold; continuous functions; data visualization; piecewise linear functions; real-valued smooth functions; scientific datasets; Combustion; Computational modeling; Computer science; Fires; Ignition; Level set; Mathematics; Software measurement; Software performance; Strips; Riemannian manifolds; Visualization; comparison measure; differential forms; smooth functions; time-varying data;
Conference_Titel :
Visualization, 2004. IEEE
Conference_Location :
Austin, TX, USA
Print_ISBN :
0-7803-8788-0
DOI :
10.1109/VISUAL.2004.68
