Statistical Shape Analysis using the Persistent Homology Transform
In statistical shape analysis we want methods to quantify how different two shapes are. In this talk I will outline a method using the topological tool of persistent homology. I will define the Persistent Homology Transform, which consists of a family of persistence diagrams constructed from height functions in different directions. This transform is injective, stable, and can effectively describe geometrical features without the use of landmarks. The talk will end with a variety of example applications.
About Maths Colloquium
The Mathematics Colloquium is directed at students and academics working in the fields of pure and applied mathematics, and statistics.
We aim to present expository lectures that appeal to our wide audience.
Information for speakers
Information for speakers
Maths colloquia are usually held on Mondays, from 2pm to 3pm, in various locations at St Lucia.
Presentations are 50 minutes, plus five minutes for questions and discussion.
Available facilities include:
- computer
- data projector
- chalkboard or whiteboard
To avoid technical difficulties on the day, please contact us in advance of your presentation to discuss your requirements.