Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, September 28, 2007 - 05:00

Location:

Gilkey 113

Event Link:

Local Speaker:

Abstract:

Helical tomography is three-dimensional tomography where the x-ray source moves on a helical curve around the object to be imaged. The associated mathematical problem is to reconstruct a density function from its integrals over some of the lines that intersect this source curve. In recent years theoretically exact inversion formulas for this situation have been found that seem suitable for practical applications. This talks explores some of the foundations for the numerical analysis of algorithms based on such an inversion formula found by A. Katsevich, as well as its relation to 2D fan-beam tomography.