New insights into the suitability of the third dimension for visualizing multivariate/multidimensional data: a study based on loss of quality quantification

Gracia Berna, Antonio and González Tortosa, Santiago and Robles Forcada, Víctor and Menasalvas Ruiz, Ernestina and Von Landesberger, Tatiana (2014). New insights into the suitability of the third dimension for visualizing multivariate/multidimensional data: a study based on loss of quality quantification. "Information Visualization", v. 15 (n. 1); pp. 3-30. ISSN 1473-8716. https://doi.org/10.1177/1473871614556393.

Description

Title: New insights into the suitability of the third dimension for visualizing multivariate/multidimensional data: a study based on loss of quality quantification
Author/s:
  • Gracia Berna, Antonio
  • González Tortosa, Santiago
  • Robles Forcada, Víctor
  • Menasalvas Ruiz, Ernestina
  • Von Landesberger, Tatiana
Item Type: Article
Título de Revista/Publicación: Information Visualization
Date: 12 November 2014
ISSN: 1473-8716
Volume: 15
Subjects:
Freetext Keywords: 2D, 3D, manifold learning, dimensionality reduction, loss of quality, quality assessment, criteria, multivariate data, multidimensional data, data visualization
Faculty: Centro de Supercomputación y Visualización de Madrid (CeSViMa) (UPM)
Department: Otro
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Most visualization techniques have traditionally used two-dimensional, instead of three-dimensional representations to visualize multidimensional and multivariate data. In this article, a way to demonstrate the underlying superiority of three-dimensional, with respect to two-dimensional, representation is proposed. Specifically, it is based on the inevitable quality degradation produced when reducing the data dimensionality. The problem is tackled from two different approaches: a visual and an analytical approach. First, a set of statistical tests (point classification, distance perception, and outlier identification) using the two-dimensional and three-dimensional visualization are carried out on a group of 40 users. The results indicate that there is an improvement in the accuracy introduced by the inclusion of a third dimension; however, these results do not allow to obtain definitive conclusions on the superiority of three-dimensional representation. Therefore, in order to draw further conclusions, a deeper study based on an analytical approach is proposed. The aim is to quantify the real loss of quality produced when the data are visualized in two-dimensional and three-dimensional spaces, in relation to the original data dimensionality, to analyze the difference between them. To achieve this, a recently proposed methodology is used. The results obtained by the analytical approach reported that the loss of quality reaches significantly high values only when switching from three-dimensional to two-dimensional representation. The considerable quality degradation suffered in the two-dimensional visualization strongly suggests the suitability of the third dimension to visualize data.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainTIN2010 21289-C02-02UnspecifiedUnspecifiedUnspecified

More information

Item ID: 35633
DC Identifier: http://oa.upm.es/35633/
OAI Identifier: oai:oa.upm.es:35633
DOI: 10.1177/1473871614556393
Official URL: http://journals.sagepub.com/doi/abs/10.1177/1473871614556393
Deposited by: Memoria Investigacion
Deposited on: 29 Apr 2017 10:14
Last Modified: 22 May 2019 06:50
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