Singularity Day
Special Meeting on Singularities with Applications to
Geometry and Computer Vision
Saturday 4 October 2008 Liverpool
to mark the 65th birthday of
Peter Giblin

The meeting will take place at the Mathematical Sciences Building of the University of Liverpool (Building 206 on the map) starting at 12 noon. There will be a dinner afterwards, from 6.15pm at the Mayur restaurant

Programme:

12.00 - 13.00 Bill Bruce (Hull) "Polynomials of one variable, time lapse curves and differential geometry"
13.00 - 14.00 Sandwich lunch (room G02; sponsored by the PM Division)
14.00 - 15.00 Roberto Cipolla (Cambridge) "Acquisition of 3D Shape from Uncalibrated Video"
15.10 - 16.10 Farid Tari (Durham) "Pairs of foliations on two dimensional surfaces"
16.10 - 16.40 Tea/coffee/biscuits (room 304)
16.40 - 17.40 Vladimir Zakalyukin (Liverpool) "Geometrical problems and Legendre singularities"

All talks will be in room 211. Their abstracts are below.

If you are planning to attend, please contact the Organiser BEFORE 24 September. Please indicate if you are staying for the dinner and if you will be accompanied for it by a partner. We may also help with the accommodation.

Organiser: Victor Goryunov, email goryunov@liv.ac.uk

Contact address: Department of Mathematical Sciences, Mathematical Sciences Building, Peach St., University of Liverpool, Liverpool, L69 7ZL, UK

Phone: +44 (0)151 794 4041 Fax: +44 (0)151 794 4061

Talk Abstracts

Bill Bruce
Polynomials of one variable, time lapse curves and differential geometry

Roberto Cipolla
Acquisition of 3D Shape from Uncalibrated Video
I will review the latest computer vision methods for acquiring accurate and detailed 3D shape from uncalibrated video. I will also introduce a technique for the real-time reconstruction of the human body and face from a single 3 CCD camera using color photometric video

Farid Tari
Pairs of foliations on two dimensional surfaces
The talk is a (non-comprehensive) survey on Binary Differential Equations. It will cover the following aspects: local models (analytic, formal, smooth, topological), invariants, bifurcations in generic families and applications (mainly to differential geometry).

Vladimir Zakalyukin
Geometrical problems and Legendre singularities
We survey a range of problems in singularities related to geometry of space curves and surfaces, including singularities of Minkowski symmetry set and affine equidistants. We show that the results are in fact a generalization of Arnold's theory of Lagrange and Legendre mappings.