for this workshop
American Institute of Mathematics, San Jose, California
Sameer Agarwal, Max Lieblich, and Rekha Thomas
This workshop, sponsored by AIM and the NSF, will focus on multi-view geometry, the sub-discipline of computer vision that studies 3D scene reconstructions from images, and has deep foundations in projective geometry and linear algebra. The field has recently made successful use of computational algebraic methods such as Groebner bases.
Multi-view geometry offers a rich collection of unexplored problems in a range of aspects of algebraic geometry. On the other hand, algebro-geometric tools have the potential to make fundamental advances in the understanding and practice of 3D computer vision.
The time is ripe to build a broader bridge between the two areas, driving new ideas from moduli theory, representation theory, and numerical, real, and combinatorial algebraic geometry into computer vision, and carrying a host of new motivating problems and ideas back into the pure algebro-geometric fold.
We call this bridge ''Algebraic Vision'', and this AIM workshop will be a crucial step in constructing it.
The workshop will differ from typical conferences in some regards. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.
The deadline to apply for support to participate in this workshop has passed.
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