Harnessing Spherical Geometry in Scientific and Engineering Data Processing

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Spherical information underpins many natural phenomena, ranging from the distribution of galaxies in the Universe to the connectivity and neuronal activation in the human brain. Current major investments in scientific and medical instrumentation do not efficiently collect and process the massive amounts of data because they do not properly utilise its inherent spherical geometry. Through harnessing spherical geometry, this project aims to address the above shortcomings and to provide advances across all these application domains. By collecting and processing data more efficiently, with greater fidelity, and by revealing features currently hidden, the methods developed are expected to see the full benefit from the instrumentation capturing this data.