Keywords

Cone beam inversion, Katsevich, image reconstruction, c-arm, CAT scan, x-ray, filtered backprojection

Abstract

We propose an exact filtered backprojection algorithm for inversion of the cone beam data in the case when the trajectory is composed of a distorted circle and a line segment. The length of the scan is determined by the region of interest , and it is independent of the size of the object. With few geometric restrictions on the curve, we show that we have an exact reconstruction. Numerical experiments demonstrate good image quality.

Notes

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Graduation Date

2009

Advisor

Katsevich, Alexander

Degree

Doctor of Philosophy (Ph.D.)

College

College of Sciences

Department

Mathematics

Degree Program

Mathematics

Format

application/pdf

Identifier

CFE0002530

URL

http://purl.fcla.edu/fcla/etd/CFE0002530

Language

English

Release Date

May 2009

Length of Campus-only Access

None

Access Status

Doctoral Dissertation (Open Access)

Included in

Mathematics Commons

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