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Linear diagrams are used to visualize set systems by depicting set memberships as horizontal line segments in a matrix, where each set is represented as a row and each element as a column. Each such line segment of a set is shown in a…

Graphics · Computer Science 2023-02-17 Markus Wallinger , Alexander Dobler , Martin Nöllenburg

We present an application of mosaic diagrams to the visualisation of set relations. Venn and Euler diagrams are the best known visual representations of sets and their relationships (intersections, containment or subsets, exclusion or…

Graphics · Computer Science 2017-11-09 Saturnino Luz , Masood Masoodian

Bifurcation diagram is a powerful tool that visually gives information about the behavior of the equilibrium points of a dynamical system respect to the varying parameter. This paper proposes an educational algorithm by which the local…

Dynamical Systems · Mathematics 2021-05-25 Shahram Aghaei , Abolghasem Daeichian

Linear diagrams are an effective way to visualize set-based data by representing elements as columns and sets as rows with one or more horizontal line segments, whose vertical overlaps with other rows indicate set intersections and their…

Computational Geometry · Computer Science 2022-08-18 Alexander Dobler , Martin Nöllenburg

Euler diagrams are an intuitive and popular method to visualize set-based data. In a Euler diagram, each set is represented as a closed curve, and set intersections are shown by curve overlaps. However, Euler diagrams are not visually…

Computational Geometry · Computer Science 2023-11-28 Xinyuan Yan , Peter Rodgers , Peter Rottmann , Daniel Archambault , Jan-Henrik Haunert , Bei Wang

In this paper, we introduce a new approach for drawing diagrams that have applications in software visualization. Our approach is to use a technique we call confluent drawing for visualizing non-planar diagrams in a planar way. This…

Computational Geometry · Computer Science 2007-05-23 Matthew Dickerson , David Eppstein , Michael T. Goodrich , Jeremy Meng

We present HoloGraphs, a novel approach for physically representing, explaining, exploring, and interacting with dynamic networks. HoloGraphs addresses the challenges of visualizing and understanding evolving network structures by providing…

Social and Information Networks · Computer Science 2025-03-05 Daniel Pahr , Henry Ehlers , Velitchko Filipov

Effectively showing the relationships between objects in a dataset is one of the main tasks in information visualization. Typically there is a well-defined notion of distance between pairs of objects, and traditional approaches such as…

Human-Computer Interaction · Computer Science 2014-04-09 Bahador Saket , Paolo Simonetto , Stephen Kobourov , Katy Borner

Parallel coordinate plots (PCPs) are among the most useful techniques for the visualization and exploration of high-dimensional data spaces. They are especially useful for the representation of correlations among the dimensions, which…

Human-Computer Interaction · Computer Science 2016-09-20 Takayuki Itoh , Ashnil Kumar , Karsten Klein , Jinman Kim

State change comparison of multiple data items is often necessary in multiple application domains, such as medical science, financial engineering, sociology, biological science, etc. Slope graphs and grouped bar charts have been widely used…

Human-Computer Interaction · Computer Science 2021-09-23 Shaolun Ruan , Yong Wang , Qiang Guan

Leveraging hypergraph structures to model advanced processes has gained much attention over the last few years in many areas, ranging from protein-interaction in computational biology to image retrieval using machine learning. Hypergraph…

Human-Computer Interaction · Computer Science 2021-12-07 Maximilian T. Fischer , Alexander Frings , Daniel A. Keim , Daniel Seebacher

In this article we introduce the network histogram: a statistical summary of network interactions, to be used as a tool for exploratory data analysis. A network histogram is obtained by fitting a stochastic blockmodel to a single…

Methodology · Statistics 2014-10-16 Sofia C. Olhede , Patrick J. Wolfe

A graph is a mathematical object consisting of a set of vertices and a set of edges connecting vertices. Graphs can be drawn on paper in various ways, but until recently all published methods of drawing graphs have had undesirable…

Human-Computer Interaction · Computer Science 2014-05-22 Bob Blakley , G R Blakley , Sean M Blakley

As online news increasingly include data journalism, there is a corresponding increase in the incorporation of visualization in article thumbnail images. However, little research exists on the design rationale for visualization thumbnails,…

Human-Computer Interaction · Computer Science 2023-05-29 Hwiyeon Kim , Joohee Kim , Yunha Han , Hwajung Hong , Oh-Sang Kwon , Young-Woo Park , Niklas Elmqvist , Sungahn Ko , Bum Chul Kwon

Hive plots are a graph visualization style placing vertices on a set of radial axes emanating from a common center and drawing edges as smooth curves connecting their respective endpoints. In previous work on hive plots, assignment to an…

Computational Geometry · Computer Science 2023-09-06 Martin Nöllenburg , Markus Wallinger

We propose MetroSets, a new, flexible online tool for visualizing set systems using the metro map metaphor. We model a given set system as a hypergraph $\mathcal{H} = (V, \mathcal{S})$, consisting of a set $V$ of vertices and a set…

Graphics · Computer Science 2021-05-14 Ben Jacobsen , Markus Wallinger , Stephen Kobourov , Martin Nöllenburg

Creating comprehensible visualizations of highly overlapping set-typed data is a challenging task due to its complexity. To facilitate insights into set connectivity and to leverage semantic relations between intersections, we propose a…

Data Structures and Algorithms · Computer Science 2021-08-10 Rebecca Kehlbeck , Jochen Görtler , Yunhai Wang , Oliver Deussen

Well-designed data visualizations can lead to more powerful and intuitive processing by a viewer. To help a viewer intuitively compare values to quickly generate key takeaways, visualization designers can manipulate how data values are…

Human-Computer Interaction · Computer Science 2021-08-17 Cindy Xiong , Vidya Setlur , Benjamin Bach , Kylie Lin , Eunyee Koh , Steven Franconeri

Probabilistic graphs are challenging to visualize using the traditional node-link diagram. Encoding edge probability using visual variables like width or fuzziness makes it difficult for users of static network visualizations to estimate…

Human-Computer Interaction · Computer Science 2021-08-24 Dongping Zhang , Eytan Adar , Jessica Hullman

The visualization of hierarchically structured data over time is an ongoing challenge and several approaches exist trying to solve it. Techniques such as animated or juxtaposed tree visualizations are not capable of providing a good…

Graphics · Computer Science 2020-02-11 Fabian Bolte , Mahsan Nourani , Eric D. Ragan , Stefan Bruckner
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