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Fully Three-Dimensional Radial Visualization

We develop methodology for three-dimensional (3D) radial visualization (RadViz) of multidimensional datasets. The classical two-dimensional (2D) RadViz visualizes multivariate data in the 2D plane by mapping every observation to a point inside the unit circle. Our tool, RadViz3D, distributes anchor points uniformly on the 3D unit sphere. We show that this uniform distribution provides the best visualization with minimal artificial visual correlation for data with uncorrelated variables. However, anchor points can be placed exactly equi-distant from each other only for the five Platonic solids, so we provide equi-distant anchor points for these five settings, and approximately equi-distant anchor points via a Fibonacci grid for the other cases. Our methodology, implemented in the R package radviz3d, makes fully 3D RadViz possible and is shown to improve the ability of this nonlinear technique in more faithfully displaying simulated data as well as the crabs, olive oils and wine datasets. Additionally, because radial visualization is naturally suited for compositional data, we useRadViz3D to illustrate (i) the chemical composition of Longquan celadon ceramics and their Jingdezhen imitation over centuries, and (ii) United States regional SARS-Cov-2 variants’ prevalence in the Covid-19 pandemic during the summer 2021 surge of the Delta variant.

Ketersediaan

Informasi Detail

Judul Seri

JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS; Vol.31 No.3 September 2022

No. Panggil

-

Penerbit

: .,

Deskripsi Fisik

p. 935-944

Bahasa

English

ISBN/ISSN

-

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

CARP
SARS-COV-2
CRABS
CELADON CERAMIC SAMPLES DATASET
DELTA VARIANT
GENERALIZED OVERLAP
GENERALIZED RADIAL VISUALIZATION
MIXSIM
NORMALIZED RADIAL VISUALIZATION
OLIVE OILS DATASET
STAR COORDINATES
VIZ3D
WINE DATASET

Info Detail Spesifik

https://doi.org/10.1080/10618600.2021.2020129

Pernyataan Tanggungjawab

Yifan Zhu, Fan Dai, Ranjan Maitra

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