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New Insights into the Suitability of the Third Dimension for Visualizing Multivariate / Multidimensional Data: A Study Based on Loss of Quality Quantification

Gracia, Antonio and Gonzalez, Santiago and Robles, Victor and Menasalvas, Ernestina and Landesberger, Tatiana von (2014):
New Insights into the Suitability of the Third Dimension for Visualizing Multivariate / Multidimensional Data: A Study Based on Loss of Quality Quantification.
In: Information Visualization, pp. 3-30, (12), DOI: 10.1177/1473871614556393, [Article]

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 threedimensional 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.

Item Type: Article
Erschienen: 2014
Creators: Gracia, Antonio and Gonzalez, Santiago and Robles, Victor and Menasalvas, Ernestina and Landesberger, Tatiana von
Title: New Insights into the Suitability of the Third Dimension for Visualizing Multivariate / Multidimensional Data: A Study Based on Loss of Quality Quantification
Language: English
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 threedimensional 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.

Journal or Publication Title: Information Visualization
Number: 12
Uncontrolled Keywords: Forschungsgruppe Visual Search and Analysis (VISA), Multivariate data, Data visualization, Multidimensional data visualization, 3D Data representation, Visualization quality, Quality evaluation
Divisions: 20 Department of Computer Science
20 Department of Computer Science > Interactive Graphics Systems
Date Deposited: 12 Nov 2018 11:16
DOI: 10.1177/1473871614556393
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