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Table Cartograms [chapter]

William Evans, Stefan Felsner, Michael Kaufmann, Stephen G. Kobourov, Debajyoti Mondal, Rahnuma Islam Nishat, Kevin Verbeek
2013 Lecture Notes in Computer Science  
A table cartogram of a two dimensional m × n table A of non-negative weights in a rectangle R, whose area equals the sum of the weights, is a partition of R into convex quadrilateral faces corresponding  ...  Such a partition acts as a natural way to visualize table data arising in various fields of research. In this paper, we give a O(mn)-time algorithm to find a table cartogram in a rectangle.  ...  The resulting partition of R into four parts is a table cartogram for the input table, see table A. (b) R. (c) An attempt to find a cartogram. (d) A cartogram of A in R. (e) A 2 × 2 table A.  ... 
doi:10.1007/978-3-642-40450-4_36 fatcat:wkxuqvwqd5apla5nenghjtdfny

Table cartogram generation as an optimization problem

Mao Li, Ryo Inoue
2019 Abstracts of the International Cartographic Association  
</strong> A table cartogram, visualization of table-form data, is a rectangle-shaped table in which each cell is transformed to express the magnitude of positive weight by its area while maintaining the  ...  </p><p>This study proposes a two-step approach for table cartogram generation with cells that begin as squares and with fixed outer table borders.  ...  This study proposes a two-step approach for table cartogram generation with cells that begin as squares and with fixed outer table borders.  ... 
doi:10.5194/ica-abs-1-214-2019 fatcat:55szsxmjkrcvxmu4xyolmmsqfe

Optimization-Based Construction of Quadrilateral Table Cartograms

Inoue, Li
2020 ISPRS International Journal of Geo-Information  
A quadrilateral table cartogram is a rectangle-shaped figure that visualizes table-form data; quadrilateral cells in a table cartogram are transformed to express the magnitude of positive weights by their  ...  It can generate quadrilateral table cartograms with smaller deformation of rows and columns, thereby aiding readers to recognize the correspondence between table cartograms and original tables.  ...  Table Cartograms 2 Cartograms .1.  ... 
doi:10.3390/ijgi9010043 fatcat:pap2nhf4h5gmbkv6zggwf7pmuy

L'orario grafico: impieghi tradizionali e innovativi di un cartogramma per la gestione delle infrastrutture The Graphic time-table: traditional and innovative use of a cartogram for infrastructures management

Guido Lucarno
unpublished
Abstract The graphic timetable is a special kind of cartogram, developing in two dimensions (space and time), used in the representation of transport matters, in the control and managing of traffic flows  ... 
fatcat:vrwfcjkaprajla2e4zfpx5xuyi

Qualitative and quantitative assessment of the correctness of the development of area cartograms

Anna Markowska, Dariusz Dukaczewski
2022 Abstracts of the International Cartographic Association  
An example of polar charts in the assessment of the correctness of the development of area cartograms (Dorling Cartogram): A. tree axes B. four axes. Table 1 . 1 ).  ...  Table 2 . The summary of the compared cartograms along with the assessment of the correctness of the elaboration of selected features (in percent).  ... 
doi:10.5194/ica-abs-5-130-2022 fatcat:oigvlqavbvfjxlxokefxnmowje

Experimental Evaluation of the Usability of Cartogram for Representation of GlobeLand30 Data

Rui Han, Zhilin Li, Peng Ti, Zhu Xu
2017 ISPRS International Journal of Geo-Information  
The results show that the thematic map is better than the cartogram for the representation of quantity (e.g., area size), but the cartogram performs better in the representation of tendency distribution  ...  This led us to conduct an experimental evaluation of the usability of the cartogram for the representation of GlobeLand30.  ...  The cartograms are shown in Figure 10 . The results are shown in Table 4 .  ... 
doi:10.3390/ijgi6060180 fatcat:mxx37jpefzawxjwr7z64eefsvi

The State of the Art in Cartograms [article]

Sabrina Nusrat, Stephen Kobourov
2016 arXiv   pre-print
This work surveys cartogram research in visualization, cartography and geometry, covering a broad spectrum of different cartogram types: from the traditional rectangular and table cartograms, to Dorling  ...  and diffusion cartograms.  ...  This paper includes many images of cartograms. We thank the authors of the papers who granted us permission for the use of these images.  ... 
arXiv:1605.08485v3 fatcat:3fnhtgxdkzfi3pely574culkyq

An evaluation of GIS tools for generating area cartograms

Anna Markowska, Jolanta Korycka-Skorupa
2015 Polish Cartographical Review  
simple geometric shapes such as squares, rectangles or circles (for example, Dorling Circle Cartograms, square cartogram); continuous regular cartograms where the shapes of areal units on the map resemble  ...  Cartograms can also be constructed to preserve spatial contiguity (continuous cartograms) or not (noncontinuous cartograms), with the latter often preserving the underlying neighborhood relationships to  ...  Table 2 . 2 Selected software used for cartograms development Proportional symbol cartogram (Dorling Circle Cartogram) Noncontinuous cartogram Continuous cartogram Cartogram Utility for ArcGIS  ... 
doi:10.1515/pcr-2015-0002 fatcat:pcwjmh7tyna2rcjrgmjur6mzbm

Circular cartograms via the elastic beam algorithm originated from cartographic generalization [article]

Wei Zhiwei, Ding Su, Xu Wenjia, Cheng Lu, Zhang Song, Wang Yang
2022 arXiv   pre-print
The circles in a circular cartogram can also be considered as map objects.  ...  The circular cartogram, also known as the Dorling map, is a widely used tool to visualize statistical data.  ...  ., } m Table 5 . 5 It will cost 33.68s to create a circular cartogram for Dataset A and 18.47s to create a circular cartogram for Dataset B.  ... 
arXiv:2204.12645v1 fatcat:uajjt2cjfrcfdczcoourbrp564

Quantitative Measures for Cartogram Generation Techniques

Md. Jawaherul Alam, Stephen G. Kobourov, Sankar Veeramoni
2015 Computer graphics forum (Print)  
a) (b) (c) Figure 1: 2004 US Presidential elections: (a) geographically accurate map, (b) diffusion cartogram, (c) rectangular cartogram.  ...  Although several such measures of cartogram quality are well-known, different cartogram generation methods optimize different features and there is no standard set of quantitative metrics.  ...  Table 2 : 2 Properties of the input maps.  ... 
doi:10.1111/cgf.12647 fatcat:sqn6jcjzxze3jpyyljuxu3uy6i

Visualizing and Analysing Public-Health Data Using Value-by-Area Cartograms: Toward a New Synthetic Framework

Daniel Z Sui, James B Holt
2008 Cartographica  
The effects of using cartograms in spatial statistical analysis were evaluated by comparing analytical results derived from cartograms with those based on choropleth maps.  ...  Our results indicate that a comprehensive understanding of cartograms must include cognitive, analytical, and critical dimensions.  ...  Paradigm Table 1 ) 1 , the Table 2 . 2 Word and phrase pairs used in cognitive testing of cartograms (after Dent 1972) .  ... 
doi:10.3138/carto.43.1.3 fatcat:oqlo2qzbz5bbtjctehublnx3c4

Evaluating Cartogram Effectiveness [article]

Sabrina Nusrat, Md. Jawaherul Alam, Stephen G. Kobourov
2017 arXiv   pre-print
Despite the popularity of cartograms and the large number of cartogram types, there are few studies evaluating the effectiveness of cartograms in conveying information.  ...  Based on a recent task taxonomy for cartograms, we evaluate four major different types of cartograms: contiguous, non-contiguous, rectangular, and Dorling cartograms.  ...  noncontiguous cartograms, which peaks around 1% error; see Table 1 .  ... 
arXiv:1504.02218v2 fatcat:ahljcnqk65djvbc6bsivdkvgpq

Task Taxonomy for Cartograms [article]

Sabrina Nusrat, Stephen Kobourov
2015 Eurographics Conference on Visualization  
Despite the popularity of cartograms and the large number of cartogram variants, there are few studies evaluating the effectiveness of cartograms in conveying information.  ...  and the specific tasks that can be performed on cartograms.  ...  Classification of Tasks We categorize the possible tasks for visualizing and interpreting information in cartograms along four dimensions: goals, means, characteristics, and cardinality; see Table 1  ... 
doi:10.2312/eurovisshort.20151126 dblp:conf/vissym/NusratK15 fatcat:abn65i3eifbspkqopqutrth5fq

Thirty Five Years of Computer Cartograms

Waldo Tobler
2004 Annals of the Association of American Geographers  
As an example, a table of latitude/longitude to rectangular plane coordinates is included for a cartogram of the United States, along with Tissot's measures for this map projection.  ...  The notion of a cartogram is reviewed.  ...  An advantage of presenting the cartogram as a table of geographic-to-rectangular coordinates is that this gives the final results of the iteration and that this table can be passed on for the use of others  ... 
doi:10.1111/j.1467-8306.2004.09401004.x fatcat:voxarybmgvdjboecb6za7owfmm

Techniques for Statistical Data Visualization in GIS

Adriana REVEIU, Marian DARDALA
2011 Informatică economică  
On the other hand, there is a way to represent statistical data using 3D cartograms.  ...  Results From the relational model perspective, we create a personal geodatabase bd_ro.mdb, with judete table containing Romania's counties as spatial data and populatie table containing the data about  ...  The two tables contain a common field used to create the junction between them; it is the symbol of the county.  ... 
doaj:3bafa05392d7456ca624b42ec5bc88b1 fatcat:orawbxqgb5bepdlqwmfwyjm2xa
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