No: 20060000056pv1, 2023
Tide Above The Rainbow
Sati Shankar
https://orcid.org/0000-0003-4638-1745
www.satishankar.in GSFN Bharat, New Delhi, 110024, www.gsfn.in
Title Tide Above The Rainbow
Author Sati Shankar https://orcid.org/0000-0003-4638-1745
Full Name Sati Shankar Dutta Pandey
Document 20060000056pv1
DOI https://doi.org/10.30847/99gsfn0118pv2.ISSN.2454.602X
Published 2006
Version Version
Stable URL https://studies.satishankar.in/20060000056pv1
https://archive.gsfn.in/20060000056pv1
https://astitva.gsfn.in/20060000056pv1
Primary class Mathematical Sciences, Mathematical Economics
Language English
Type Paper
ISSN ISSN 2454-602X
ISBN
Imprint astitva
Published by Global Synergetic Foundation, New Delhi, India 110024 [GSFN Bharat]
Copyright All Rights Reserved. Global Synergetic Foundation
Publisher Site www.gsfn.in
Keywords:
Abstract
wide range of data that appear in scientific experiments and simulations are multivariate or multifield in nature, consisting of multiple scalar fields. Topological feature search of such data aims to reveal important properties useful to the domain scientists. It has been shown in recent works that a single scalar field is insufficient to capture many important topological features in the data, instead one needs to consider topological relationships between multiple scalar fields. In the current paper, we propose a novel method of finding similarity between two multifield data by comparing their respective fiber component distributions. Given a time-varying multifield data, the method computes a metric plot for each pair of histograms at consecutive time stamps to understand the topological changes in the data over time. We validate the method using real and synthetic data. The effectiveness of the proposed method is shown by its ability to capture important topological features that are not always possible to detect using the individual component scalar fields.
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Citation Sati Shankar.2023."On Capability Sets". A revised version of the paper,35th Annual Conference of the Indian Econometric Society,Jaipur, March 11-13, 1999 , https://doi.org/10.30847/99gsfn0118pv2.ISSN.2454.602X
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