Date
Fri, 02 May 2025
Time
11:00 - 12:00
Location
L4
Speaker
Professor Karthik Bharath
Organisation
School of Mathematical Sciences University of Nottingham

The question can be formulated as a statistical hypothesis asserting that the distribution of the shapes of closed curves representing outlines of cell nuclei in a spatial domain is independent of the distribution of their locations. The key challenge in developing a procedure to test the hypothesis from a sample of spatially indexed curves (e.g. from an image) lies in how symmetries in the data are accounted for: shape of a curve is a property that is invariant to similarity transformations and reparameterization, and the shape space is thus an infinite-dimensional quotient space. Starting with a convenient geometry for the shape space developed over the last few years, I will discuss dependence measures and their estimates for spatial point processes with shape-valued marks, and demonstrate their use in testing for spatial independence of marks in a breast cancer application.  

Last updated on 9 Apr 2025, 1:08pm. Please contact us with feedback and comments about this page.