Journal article
A pointwise limit theorem for filtered backprojection in computed tomography
Medical physics (Lancaster), Vol.30(5), pp.816-822
05/2003
DOI: 10.1118/1.1559820
PMID: 12772989
Abstract
Computed tomography (CT) is one of the most important areas in the modern science and technology. The most popular approach for image reconstruction is filtered backprojection. It is essential to understand the limit behavior of the filtered backprojection algorithms. The classic results on the limit of image reconstruction are typically done in the norm sense. In this paper, we use the method of limited bandwidth to handle filtered backprojection-based image reconstruction when the spectrum of an underlying image is not absolutely integrable. Our main contribution is, assuming the method of limited bandwidth, to prove a pointwise limit theorem for a class of functions practically relevant and quite general. Further work is underway to extend the theory and explore its practical applications.
Details
- Title: Subtitle
- A pointwise limit theorem for filtered backprojection in computed tomography
- Creators
- Yangbo Ye - University of IowaJiehua Zhu - University of IowaGe Wang - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Medical physics (Lancaster), Vol.30(5), pp.816-822
- DOI
- 10.1118/1.1559820
- PMID
- 12772989
- ISSN
- 0094-2405
- eISSN
- 2473-4209
- Number of pages
- 7
- Language
- English
- Date published
- 05/2003
- Academic Unit
- Mathematics
- Record Identifier
- 9984240777602771
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