Tomography is used to image the inside of an object using X-rays or other indirect data, and it is invaluable to doctors looking for the internal structure of the body and engineers looking for defects in industrial objects. In many problems in medicine and industry, some tomographic data are missing, and this gives rise to limited data problems. The author will give an introduction to limited data tomography and talk about his algorithm for a specific limited data problem.. Microlocal analysis will be used to explain how different types of limited tomographic data detect singularities or boundaries of the internal structure of the object. Reconstructions from the author's limited data algorithm will be presented to illustrate these ideas.
Please join us for refreshments before the lecture at 2:30p.m. in room 353 Jabara Hall.
[ Fall 1998]