I present an overview of our work in visualization, and reflect on the role of mathematics therein. First, mathematics can be used as a tool to produce visualizations, which is illustrated with examples from information visualization, flow visualization, and cartography. Second, mathematics itself provides challenges. Visualization of Seifert surfaces, regular maps, and the construction of Julia sets helps to understand these better.
|Title of host publication||Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture (Enschede, The Netherlands, July 27-31, 2013)|
|Editors||G. Hart, R. Sarhangi|
|Place of Publication||Phoenix AZ|
|Publication status||Published - 2013|