Optimal Axes for Data Value Estimation in Star Coordinates and Radial Axes Plots

dc.contributor.authorRubio-Sánchez, Manuelen_US
dc.contributor.authorLehmann, Dirk J.en_US
dc.contributor.authorSanchez, Albertoen_US
dc.contributor.authorRojo-Álvarez, Jose Luisen_US
dc.contributor.editorBorgo, Rita and Marai, G. Elisabeta and Landesberger, Tatiana vonen_US
dc.date.accessioned2021-06-12T11:02:38Z
dc.date.available2021-06-12T11:02:38Z
dc.date.issued2021
dc.description.abstractRadial axes plots are projection methods that represent high-dimensional data samples as points on a two-dimensional plane. These techniques define mappings through a set of axis vectors, each associated with a data variable, which users can manipulate interactively to create different plots and analyze data from multiple points of view. However, updating the direction and length of an axis vector is far from trivial. Users must consider the data analysis task, domain knowledge, the directions in which values should increase, the relative importance of each variable, or the correlations between variables, among other factors. Another issue is the difficulty to approximate high-dimensional data values in the two-dimensional visualizations, which can hamper searching for data with particular characteristics, analyzing the most common data values in clusters, inspecting outliers, etc. In this paper we present and analyze several optimization approaches for enhancing radial axes plots regarding their ability to represent high-dimensional data values. The techniques can be used not only to approximate data values with greater accuracy, but also to guide users when updating axis vectors or extending visualizations with new variables, since they can reveal poor choices of axis vectors. The optimal axes can also be included in nonlinear plots. In particular, we show how they can be used within RadViz to assess the quality of a variable ordering. The in-depth analysis carried out is useful for visualization designers developing radial axes techniques, or planning to incorporate axes into other visualization methods.en_US
dc.description.number3
dc.description.sectionheadersDesign Guidelines
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume40
dc.identifier.doi10.1111/cgf.14323
dc.identifier.issn1467-8659
dc.identifier.pages483-494
dc.identifier.urihttps://doi.org/10.1111/cgf.14323
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf14323
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectHuman centered computing
dc.subjectVisualization techniques
dc.subjectVisualization theory
dc.subjectconcepts and paradigms
dc.subjectMathematics of computing
dc.subjectExploratory data analysis
dc.titleOptimal Axes for Data Value Estimation in Star Coordinates and Radial Axes Plotsen_US
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