|
|
|
|
|
|
||
The
X-ray transform on complex projective space
Professor Mike Eastwood
Abstract
The classical Radon transform
takes a function on the plane and integrates it over the straight lines in the
plane. Its invertibility provides the mathematical
basis of modern medical imaging techniques. The X-ray transform takes a
function in three-space and integrates it over the straight lines, the
terminology being motivated by medical imaging. As one might expect, both of
these transforms are best viewed on real projective space. In addition, the
basic transform may be extended to one-forms or other tensors. In this talk, I
shall discuss what happens on complex projective space where the straight lines
are the Fubini-Study geodesics. This is joint work
with Hubert Goldschmidt.
|
Date: |
December 11, 2007 (Tuesday) |
|
Time: |
4:00 – 5:00pm |
|
Place: |
Room 517, Meng Wah Complex, HKU |
|
|
All are
welcome |
|