Visualization of discrete gradient construction

Attila Gyulassy; Joshua A. Levine; Valerio Pascucci

doi:10.1145/1998196.1998241

Visualization of discrete gradient construction

Attila Gyulassy, Joshua A. Levine, Valerio Pascucci

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This video presents a visualization of a recent algorithm to compute discrete gradient fields on regular cell complexes [3]. Discrete gradient fields are used in practical methods that robustly translate smooth Morse theory to combinatorial domains. We describe the stages of the algorithm, highlighting both its simplicity and generality.

Original language	English (US)
Title of host publication	Proceedings of the 27th Annual Symposium on Computational Geometry, SCG'11
Pages	289-290
Number of pages	2
DOIs	https://doi.org/10.1145/1998196.1998241
State	Published - 2011
Externally published	Yes
Event	27th Annual ACM Symposium on Computational Geometry, SCG'11 - Paris, France Duration: Jun 13 2011 → Jun 15 2011

Publication series

Name	Proceedings of the Annual Symposium on Computational Geometry

Conference

Conference	27th Annual ACM Symposium on Computational Geometry, SCG'11
Country/Territory	France
City	Paris
Period	6/13/11 → 6/15/11

Keywords

Discrete gradient fields
Discrete Morse theory
Regular cell complexes
Scalar field topology

ASJC Scopus subject areas

Theoretical Computer Science
Geometry and Topology
Computational Mathematics

Access to Document

10.1145/1998196.1998241

Cite this

Gyulassy, A, Levine, JA & Pascucci, V 2011, Visualization of discrete gradient construction. in Proceedings of the 27th Annual Symposium on Computational Geometry, SCG'11. Proceedings of the Annual Symposium on Computational Geometry, pp. 289-290, 27th Annual ACM Symposium on Computational Geometry, SCG'11, Paris, France, 6/13/11. https://doi.org/10.1145/1998196.1998241

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keywords = "Discrete gradient fields, Discrete Morse theory, Regular cell complexes, Scalar field topology",

author = "Attila Gyulassy and Levine, {Joshua A.} and Valerio Pascucci",

year = "2011",

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language = "English (US)",

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AU - Levine, Joshua A.

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AB - This video presents a visualization of a recent algorithm to compute discrete gradient fields on regular cell complexes [3]. Discrete gradient fields are used in practical methods that robustly translate smooth Morse theory to combinatorial domains. We describe the stages of the algorithm, highlighting both its simplicity and generality.

KW - Discrete gradient fields

KW - Discrete Morse theory

KW - Regular cell complexes

KW - Scalar field topology

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BT - Proceedings of the 27th Annual Symposium on Computational Geometry, SCG'11

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ER -

Visualization of discrete gradient construction

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this