2021
DOI: 10.1111/cgf.14289
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What are Table Cartograms Good for Anyway? An Algebraic Analysis

Abstract: Unfamiliar or esoteric visual forms arise in many areas of visualization. While such forms can be intriguing, it can be unclear how to make effective use of them without long periods of practice or costly user studies. In this work we analyze the table cartogram—a graphic which visualizes tabular data by bringing the areas of a grid of quadrilaterals into correspondence with the input data, like a heat map that has been “area‐ed” rather than colored. Despite having existed for several years, little is known ab… Show more

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Cited by 16 publications
(13 citation statements)
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“…", or "What is meant by data?" A notable experiment in this regard is Pu et al's [88] use of Algebraic Visualization [51,72] as a sibling to CDN, suggesting the applicability of visualization theory to DSL evaluation. JSON DSLs have been described as being intended for use by endusers [73].…”
Section: Discussionmentioning
confidence: 99%
“…", or "What is meant by data?" A notable experiment in this regard is Pu et al's [88] use of Algebraic Visualization [51,72] as a sibling to CDN, suggesting the applicability of visualization theory to DSL evaluation. JSON DSLs have been described as being intended for use by endusers [73].…”
Section: Discussionmentioning
confidence: 99%
“…Bronstein et al [16] recently proposed a unifying mathematical framework to exploit these regularities using geometric principles of invariance and equivariance. Kindlmann et al [53] and McNutt [54] proposed similar frameworks for studying visualizations. To study models and their inductive biases, we extrapolate the algebraic visualization design framework [53], [54] to reason model behavior by analyzing intrinsic symmetries/asymmetries between their inputs and outputs (see Figure 3).…”
Section: Formalizing Input-output Relationsmentioning
confidence: 99%
“…Kindlmann et al [53] and McNutt [54] proposed similar frameworks for studying visualizations. To study models and their inductive biases, we extrapolate the algebraic visualization design framework [53], [54] to reason model behavior by analyzing intrinsic symmetries/asymmetries between their inputs and outputs (see Figure 3). Specifically, • α is an operator applied to the input with respect to control variables, such as noise or rotation.…”
Section: Formalizing Input-output Relationsmentioning
confidence: 99%
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“…While such queries are constructed similarly to relations in our approach, the former are driven through cross-filtering on attribute relationship graphs, while ours draws from rules heavily inspired by Kosslyn's principles [19] and Kindlmann and Scheidegger's algebraic framework [18]. The latter framework has been used to identify effective visualization types for certain user tasks, e.g., table cartograms [25]. Kim et al characterize responsive visualization strategies via their targets, i.e., element(s) of a design that change, and actions, i.e., how element(s) are changed [16].…”
Section: Related Workmentioning
confidence: 99%