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At the core of our work is visualisation: enabling computers to efficiently perceive, process and understand visual data such as images, videos and complex 3D scenes.

We focus on developing techniques and algorithms that generate and represent complex visual data in the most efficient way – particularly geometric data in 3D and spatio-temporal data in 4D.

For example, we use Partial Differential Equations (PDEs) to model and represent complex data, especially in situations where real-world data can be represented by sets of mathematical functions. Unlike standard geometric data representation methods such as polygonal meshes, the use of PDEs enables data to be visualised at any resolution without the need to store several levels of detail. (See this case study for an example).

This foundational work leads in to further specialised areas such as computer-based simulation, virtual reality and digital imaging.