A Practical Statistical Approach to the Reconstruction Problem Using a Single Slice Rebinning Method

Author:

Cierniak Robert1,Pluta Piotr1,Kaźmierczak Andrzej23

Affiliation:

1. Institute of Computational Intelligence , Czestochowa University of Technology , al. Armii Krajowej 36, 42-200 Czȩstochowa , Poland

2. Information Technology Institute , University of Social Sciences , 90-113 Łódź

3. Clark University Worcester , MA 01610 , USA

Abstract

Abstract The paper presented here describes a new practical approach to the reconstruction problem applied to 3D spiral x-ray tomography. The concept we propose is based on a continuous-to-continuous data model, and the reconstruction problem is formulated as a shift invariant system. This original reconstruction method is formulated taking into consideration the statistical properties of signals obtained by the 3D geometry of a CT scanner. It belongs to the class of nutating reconstruction methods and is based on the advanced single slice rebinning (ASSR) methodology. The concept shown here significantly improves the quality of the images obtained after reconstruction and decreases the complexity of the reconstruction problem in comparison with other approaches. Computer simulations have been performed, which prove that the reconstruction algorithm described here does indeed significantly outperforms conventional analytical methods in the quality of the images obtained.

Publisher

Walter de Gruyter GmbH

Subject

Artificial Intelligence,Computer Vision and Pattern Recognition,Hardware and Architecture,Modeling and Simulation,Information Systems

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