Reassembly of broken objects.

13^th February 2024, 15:00
Peter J. Olver
University of Minnesota, USA

Abstract

The problem of reassembling and analyzing broken objects appears in a broad range of applications, including jigsaw puzzle assembly, paleontology (broken fossils and egg shells), archaeology (broken pots and statues), surgery (broken bones and reassembly of histological sections), and anthropology (broken bones and lithics). I will discuss recent progress on such problems based on new and classical mathematical tools, including differential geometry, invariant signatures, integral invariants, and machine learning.