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A framework for the visualization of multidimensional and multivariate data

Dos Santos, Selan Rodrigues (2004) A framework for the visualization of multidimensional and multivariate data. PhD thesis, University of Leeds.

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Abstract

High dimensionality is a major challenge for data visualization. Parameter optimization problems require an understanding of the behaviour of an objective function in an n-dimensional space around the optimum - this is multidimensional visualization and is a natural extension of the traditional domain of scientific visualization. Large numeric data tables with observations of many attributes require us to understand the relationship between these attributes - this is multivariate visualization and is an important aspect of information visualization. Common to both types of high dimensional visualization is a need to reduce the dimensionality for display. Although multidimensional and multivariate data are quite distinct, we show that a common approach to dimensionality reduction is possible. This framework makes a contribution to the foundation of the data visualization field, bringing both information and scientific visualization rather closer together. To address this problem we present a uniform approach designed for both abstract and scientific data. It is based on the reduction approach, which is realized through a filtering process that allows extraction of data subject to constraints on their position or value within an n-dimensional window, and on choice of dimensions for display. The framework has been put to proof through a visualization method called HyperCell, which has been applied to several case studies. The results are presented and the system evaluated.

Item Type: Thesis (PhD)
Additional Information: Supplied directly by the School of Computing, University of Leeds.
Academic Units: The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds)
Depositing User: Dr L G Proll
Date Deposited: 03 Mar 2011 15:49
Last Modified: 07 Mar 2014 11:23
URI: http://etheses.whiterose.ac.uk/id/eprint/1316

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