Topological Approaches for Three Dimensional Graph Drawing

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Human analysis of huge quantities of relational data in biotechnology, web engineering, social networks, and computer networks requires visualization. In recent years, three-dimensional visualisation has promised to give new insights into such abstract data. However the past ten years of visualization research has had very little impact on the industry; visualization software providers have not adopted visualization methods developed by academics. We hypothesise that current 3D relational visualization methods fail because they do not pay attention to the human perception of topology. In this project we will leverage mathematical topology to construct new methods for the 3D visualization of relational data.