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Author: Duke, David × Has files: true × Start date: 2010 × End date: 2014 ×

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    Visual Analysis of Hurricane Data Using Joint Contour Net
    (The Eurographics Association, 2014) Geng, Zhao; Duke, David; Carr, Hamish; Chattopadhyay, Amit; Rita Borgo and Wen Tang
    Topology provides a rigorous foundation for identifying features and transitions within data. However, computing and presenting topological features in multi-dimensional range space is still a difficult problem. The Joint Contour Net therefore is proposed as a data structure which quantizes the variation of multiple variables and presents multiple-field topology. In this paper, we apply the Joint Contour Net to real-world applications in order to present, analyse and explore features related to phenomenon. We have proposed a framework based on Joint Contour Net for iterative data exploration and knowledge discovery. The data set we investigate is from a simulation of Isabel Hurricane. We are able to demonstrate that the multi-field topological features such as rainbands, air flow and hurricane eye, as well as their relationship, can be exploited from a global topological view.
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    Extracting Jacobi Structures in Reeb Spaces
    (The Eurographics Association, 2014) Chattopadhyay, Amit; Carr, Hamish; Duke, David; Geng, Zhao; N. Elmqvist and M. Hlawitschka and J. Kennedy
    Jacobi sets have been identified as significant in multi-field topological analysis, but are defined in the domain ofthe data rather than in the Reeb Space. This distinction is significant, as exploiting multi-field topology actuallydepends on the projection of the Jacobi set into the Reeb Space, and the details of its internal structure. Wetherefore introduce the Jacobi Structure of a Reeb Space which describes this, explain its relationships with boththe Jacobi Set and Fiber Analysis in mathematical topology, give an algorithm for computing the Jacobi Structurerecursively using a Multi-Dimensional Reeb Graph and illustrate it using an early implementation in VTK.