MSE Research Project Database

Algebraic, geometric and topological signal processing


Project Leader: Jonathan Manton
Collaborators: Nicolas Le Bihan (CNRS, Grenoble), Salem Said (CNRS, Bordeaux)
Primary Contact: Jonathan Manton (jmanton@unimelb.edu.au)
Keywords: differential geometry; signal processing
Disciplines: Electrical & Electronic Engineering
Domains:
Research Centre: Nonlinear Signal Processing Lab

This broad project is based around the continuing integration of mathematical techniques from algebra, geometry and topology into signal processing. Examples are using Clifford algebras to represent multi-dimensional signals, using algebraic and differential geometry to develop novel optimisation algorithms, using homology theory to better understand networked systems, and using information geometry to better understand stochastic filtering problems.