The PhD defence will be in Abels utsikt - Niels Henrik Abels hus. The host of the session will moderate the technicalities while the chair of the defence will moderate the disputation.
Ex auditorio questions: the chair of the defence will invite the audience to ask questions ex auditorio at the end of the defence.
- Submit request to access (available from 16th of May 1:15 pm until 3rd of June 1:15 pm)
Trial lecture
3rd of June, time: 10:15 am, room 1259 (Abels utsikt).
"The Bernstein–Kushnirenko theorem"
Main research findings
“Structure from motion” is the process of recovering cameras and a 3D scene from a set of images. Usually, all information can be recovered if enough images and image points are provided. There are, however, certain cases where the shape of the 3D scene and the positions of the cameras are such that a recovery is impossible, even in theory; these cases are called "critical configurations".
My work classifies all critical configurations for any number of projective cameras. I show that they form well-known algebraic varieties, such as quadratic surfaces and curves of degree at most four. My work also improves upon earlier results, both by finding critical configurations that were previously unknown and by showing that some configurations that were believed to be critical are in fact not.
While the techniques developed to make this classification can help make similar classifications in other theoretical settings, the classification result itself has real-world application. Algorithms recovering 3D information from images are already in use, for instance in manufacturing, healthcare, and transportation. A property of critical configurations is that reconstruction algorithms tend to become unstable if the 3D-scene approximates a critical configuration. Hence, understanding critical configurations is key to avoiding such difficulties.
Adjudication committee
- Professor Kalle Åstrøm, Lund University
- Professor Cristina Turrini, Universita degli Studi di Milano
- Associate Professor Kim Anders Frøyshov, University of Oslo
Supervisors
- Professor Kristian Ranestad, University of Oslo
- Assistant Professor Kathlén Kohn, KTH Kungliga Tekniska högskolan
Chair of defence
Head of Department Geir Dahl.
Host of the session
Associate Professor Kim Anders Frøyshov, University of Oslo