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We present a new circular-arc cartogram model in which countries are drawn as polygons with circular arcs instead of straight-line segments. Given a political map and values associated with each country in the map, a cartogram is a…

Computational Geometry · Computer Science 2012-12-07 Jan-Hinrich Kämper , Stephen G. Kobourov , Martin Nöllenburg

Cartograms combine statistical and geographical information in thematic maps, where areas of geographical regions (e.g., countries, states) are scaled in proportion to some statistic (e.g., population, income). Cartograms make it possible…

Human-Computer Interaction · Computer Science 2016-09-16 Sabrina Nusrat , Stephen Kobourov

Map makers have long searched for a way to construct cartograms -- maps in which the sizes of geographic regions such as countries or provinces appear in proportion to their population or some other analogous property. Such maps are…

Data Analysis, Statistics and Probability · Physics 2009-11-10 Michael T. Gastner , M. E. J. Newman

Cartograms are maps that rescale geographic regions (e.g., countries, districts) such that their areas are proportional to quantitative demographic data (e.g., population size, gross domestic product). Unlike conventional bar or pie charts,…

Computational Geometry · Computer Science 2019-11-12 Michael T. Gastner , Vivien Seguy , Pratyush More

Cartograms are maps in which areas of geographic regions (countries, states) appear in proportion to some variable of interest (population, income). Cartograms are popular visualizations for geo-referenced data that have been used for over…

Human-Computer Interaction · Computer Science 2017-01-04 Sabrina Nusrat , Md. Jawaherul Alam , Stephen G. Kobourov

Cartograms are a technique for visually representing geographically distributed statistical data, where values of a numerical attribute are mapped to the size of geographic regions. Contiguous cartograms preserve the adjacencies of the…

Computational Geometry · Computer Science 2026-04-16 Vladimir Molchanov , Hennes Rave , Lars Linsen

An algorithm to generate the locus of a circle using the intersection points of straight lines is proposed. The pixels on the circle are plotted independent of one another and the operations involved in finding the locus of the circle from…

Graphics · Computer Science 2008-11-26 Sankar K , Sarad AV

Cartograms are maps in which areas of geographic regions (countries, states) appear in proportion to some variable of interest (population, income). Cartograms are popular visualizations for geo-referenced data that have been around for…

Human-Computer Interaction · Computer Science 2015-04-21 Sabrina Nusrat , Stephen Kobourov

Cartograms are maps in which the areas of regions (e.g., countries or provinces) are proportional to a thematic mapping variable (e.g., population or gross domestic product). A cartogram is called contiguous if it keeps geographically…

Human-Computer Interaction · Computer Science 2020-11-20 Shi Tingsheng , Ian K. Duncan , Yen-Ning Chang , Michael T. Gastner

Dimensionality reduction is a crucial technique in data analysis, as it allows for the efficient visualization and understanding of high-dimensional datasets. The circular coordinate is one of the topological data analysis techniques…

Algebraic Topology · Mathematics 2023-01-31 Taejin Paik , Jaemin Park

Cartograms depict geographic regions with areas proportional to quantitative data. However, when created using density-equalizing map projections, cartograms may exhibit invalid topologies if boundary polygons are drawn using only a finite…

Computational Geometry · Computer Science 2026-01-21 Nihal Z. Miaji , Adi Singhania , Matthias E. Goh , Callista Le , Atima Tharatipyakul , Michael T. Gastner

Treemaps have been widely applied to the visualization of hierarchical data. A treemap takes a weighted tree and visualizes its leaves in a nested planar geometric shape, with sub-regions partitioned such that each sub-region has an area…

Graphics · Computer Science 2023-09-01 Mehdi Behroozi , Reyhaneh Mohammadi , Cody Dunne

The histogram is an analysis tool in widespread use within many sciences, with high energy physics as a prime example. However, there exists an inherent bias in the choice of binning for the histogram, with different choices potentially…

Data Analysis, Statistics and Probability · Physics 2014-05-21 Abram Krislock , Nathan Krislock

Rectangular layouts, subdivisions of an outer rectangle into smaller rectangles, have many applications in visualizing spatial information, for instance in rectangular cartograms in which the rectangles represent geographic or political…

Computational Geometry · Computer Science 2016-08-12 Kevin Buchin , David Eppstein , Maarten Löffler , Martin Nöllenburg , Rodrigo I. Silveira

We present LOOM (Line-Ordering Optimized Maps), a fully automatic generator of geographically accurate transit maps. The input to LOOM is data about the lines of a given transit network, namely for each line, the sequence of stations it…

Computational Geometry · Computer Science 2017-10-09 Hannah Bast , Patrick Brosi , Sabine Storandt

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

We study large-scale, distributed graph clustering. Given an undirected graph, our objective is to partition the nodes into disjoint sets called clusters. A cluster should contain many internal edges while being sparsely connected to other…

Data Structures and Algorithms · Computer Science 2020-04-28 Michael Hamann , Ben Strasser , Dorothea Wagner , Tim Zeitz

Generalized Pythagoras trees were developed for visualizing hierarchical data, producing organic, fractal-like representations. However, the drawback of the original layout algorithm is visual overlap of tree branches. To avoid such…

Graphics · Computer Science 2019-07-31 Tanja Munz , Michael Burch , Toon van Benthem , Yoeri Poels , Fabian Beck , Daniel Weiskopf

The aim of this article is to introduce a new methodology for constructing morphings between shapes that have identical topology. The morphings are obtained by deforming a reference shape, through the resolution of a sequence of linear…

Numerical Analysis · Mathematics 2025-02-04 Abbas Kabalan , Fabien Casenave , Felipe Bordeu , Virginie Ehrlacher , Alexandre Ern

Problems that require the parameterization of closed contours arise frequently in computer vision applications. This article introduces a new curve parameterization algorithm that is able to fit a closed curve to a set of points while being…

Computer Vision and Pattern Recognition · Computer Science 2015-04-23 Michael A. Greminger
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