Title: Statistical topology for random fields and branching structures
Tree-like and branching structures can be found in many naturally occurring processes, for example such structures can be found in retinal vascularity, the respiratory system and breast ductal networks. Accurate topological and morphological descriptors of these structures can potentially aid classification and diagnosis of disease.
Topological data analysis is an area of research which considers the shape of data and its topological properties. This project aims to contribute towards the development of topological data analysis methods for both random fields and branching structures, proposing valid statistical and computational methodologies.
