A unitary theory of metric analysis helps unveil structures within data

As the EU-funded MANET project worked with abstract geometric structures it was able to model a range of phenomena as integral curves of vector fields. This allowed the project to shed light on retinal vessels and cortical connectivity, as well as vehicle dynamics and traffic flow.

Measurement underpins much of our understanding about the world - with metrics a branch of mathematics used to measure distances between points in geometrical settings. Metric analysis allows researchers to consider problems in understanding the structure of non regular spaces, referred to as ‘non isotropic’, where movement in some directions are precluded by a constraint. This is perhaps best demonstrated by the movements of robots, typically constrained by the physical relation between parts.

Further details: A unitary theory of metric analysis helps unveil structures within data