{"type":"conference","_id":"3989","citation":{"chicago":"Edelsbrunner, Herbert, John Harer, Vijay Natarajan, and Valerio Pascucci. “Local and Global Comparison of Continuous Functions,” 275–80. IEEE, 2004. <a href=\"https://doi.org/10.1109/VISUAL.2004.68\">https://doi.org/10.1109/VISUAL.2004.68</a>.","apa":"Edelsbrunner, H., Harer, J., Natarajan, V., &#38; Pascucci, V. (2004). Local and global comparison of continuous functions (pp. 275–280). Presented at the VIS: IEEE Visualization, IEEE. <a href=\"https://doi.org/10.1109/VISUAL.2004.68\">https://doi.org/10.1109/VISUAL.2004.68</a>","short":"H. Edelsbrunner, J. Harer, V. Natarajan, V. Pascucci, in:, IEEE, 2004, pp. 275–280.","mla":"Edelsbrunner, Herbert, et al. <i>Local and Global Comparison of Continuous Functions</i>. IEEE, 2004, pp. 275–80, doi:<a href=\"https://doi.org/10.1109/VISUAL.2004.68\">10.1109/VISUAL.2004.68</a>.","ista":"Edelsbrunner H, Harer J, Natarajan V, Pascucci V. 2004. Local and global comparison of continuous functions. VIS: IEEE Visualization, 275–280.","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.","ama":"Edelsbrunner H, Harer J, Natarajan V, Pascucci V. Local and global comparison of continuous functions. In: IEEE; 2004:275-280. doi:<a href=\"https://doi.org/10.1109/VISUAL.2004.68\">10.1109/VISUAL.2004.68</a>"},"publist_id":"2137","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":[{"orcid":"0000-0002-9823-6833","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","first_name":"Herbert","full_name":"Herbert Edelsbrunner","last_name":"Edelsbrunner"},{"last_name":"Harer","full_name":"Harer, John","first_name":"John"},{"full_name":"Natarajan, Vijay","last_name":"Natarajan","first_name":"Vijay"},{"first_name":"Valerio","full_name":"Pascucci, Valerio","last_name":"Pascucci"}],"extern":1,"date_published":"2004-10-01T00:00:00Z","year":"2004","quality_controlled":0,"page":"275 - 280","status":"public","doi":"10.1109/VISUAL.2004.68","day":"01","publication_status":"published","date_updated":"2021-01-12T07:53:41Z","month":"10","title":"Local and global comparison of continuous functions","publisher":"IEEE","date_created":"2018-12-11T12:06:18Z","conference":{"name":"VIS: IEEE Visualization"}}