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A Discrete Probabilistic Approach to Dense Flow Visualization
Univ Duisburg Essen, COVIDAG, D-47057 Duisburg, Germany..ORCID iD: 0000-0002-4490-4349
KTH, School of Electrical Engineering and Computer Science (EECS), Computer Science, Computational Science and Technology (CST).ORCID iD: 0000-0002-1498-9062
Univ Duisburg Essen, COVIDAG, D-47057 Duisburg, Germany..
2021 (English)In: IEEE Transactions on Visualization and Computer Graphics, ISSN 1077-2626, E-ISSN 1941-0506, Vol. 27, no 12, p. 4347-4358Article in journal (Refereed) Published
Abstract [en]

Dense flow visualization is a popular visualization paradigm. Traditionally, the various models and methods in this area use a continuous formulation, resting upon the solid foundation of functional analysis. In this work, we examine a discrete formulation of dense flow visualization. From probability theory, we derive a similarity matrix that measures the similarity between different points in the flow domain, leading to the discovery of a whole new class of visualization models. Using this matrix, we propose a novel visualization approach consisting of the computation of spectral embeddings, i.e., characteristic domain maps, defined by particle mixture probabilities. These embeddings are scalar fields that give insight into the mixing processes of the flow on different scales. The approach of spectral embeddings is already well studied in image segmentation, and we see that spectral embeddings are connected to Fourier expansions and frequencies. We showcase the utility of our method using different 2D and 3D flows.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE) , 2021. Vol. 27, no 12, p. 4347-4358
Keywords [en]
Complexity theory, Technological innovation, Organizations, Collaboration, Bibliographies, Decision making, Industrial engineering, Flow visualization, volume visualization, spectral methods
National Category
Computer Sciences
Identifiers
URN: urn:nbn:se:kth:diva-305107DOI: 10.1109/TVCG.2020.3006995ISI: 000711642800002PubMedID: 32746273Scopus ID: 2-s2.0-85118371718OAI: oai:DiVA.org:kth-305107DiVA, id: diva2:1613443
Note

QC 20211122

Available from: 2021-11-22 Created: 2021-11-22 Last updated: 2022-06-25Bibliographically approved

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Weinkauf, Tino

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CiteExportLink to record
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