| Monday |
|
|
9:30-11:30 am
|
What is the
field of vision and what is its
mathematical side? Outline of topics to be presented. Round table
introductions
and forming working groups |
D.Mumford |
| 1:30-3:00 pm |
Images as
functions I: Edges and
segmentation, filters, Fourier expansions
and wavelets. Part lecture, part workshop with MatLab. Introducing
two vision competitions, one with texture, one with shape |
K.Leonard |
| 3:30-5:00 pm |
The geometry
of imaging: multiple
cameras, inferring 3D structure with
stereoscopic images |
R.Romano |
| Tuesday |
|
|
| 9:30-11:00 am |
Statistics as
a tool for classifying images. Features and
histograms, 3 fundamental tools in
statistical pattern recognition (for use in the competition) |
D.Mumford |
| 1:30-3:00 pm |
Images as
functions II: evolving an
image with ‘heat-type’ PDE’s and
applications to image enhancement: Part lecture, part workshop with MatLab |
J.Carter |
| 3:30-5:00 pm |
The geometry
inside images. The set of
shapes as a metric space. |
K.Leonard |
| Wednesday |
|
|
| 9:30-11:00 am |
Graph theory
and linear algebra as tools for
image analysis. Use of the
eigenvectors of the discrete graph
Laplacian to segment an image |
TBA
|
| AFTERNOON |
Free
Time; Excursion
to be proposed |
|
| Thursday |
|
|
| 9:30-11:00 am |
More
statistical methods, Bayes’s
rule, likelihood ratios, inference |
M.Harrison |
| 1:30-3:00 pm |
Shrink
wrapping shapes, the
variational approach known as ‘snakes’ |
TBA
|
| 3:00-? pm |
Free
time to work on
course material and the competition |
|
| Friday |
|
|
| 9:30-11:00 am |
Information
theory, signals and images, coding and
counting bits |
D.Donoho |
| 1:30-3:00 pm |
Idea of a
diffeomorphism, ‘shortest
path’ from one image to another, application
to stereo 3D reconstruction and to morphing |
D.Mumford/K.Leonard |
3:30 – 5:30 pm
|
General
discussion of
using images and matlab in courses, announce winners of competition |
|