Exact fan-beam reconstruction via ramp-filtered backprojection and local compensation

Guang Hong Chen; Ranjini Tolakanahalli; Tingliang Zhuang; Brian E. Nett; Jiang Hsieh

doi:10.1117/12.594694

Exact fan-beam reconstruction via ramp-filtered backprojection and local compensation

Guang Hong Chen, Ranjini Tolakanahalli, Tingliang Zhuang, Brian E. Nett, Jiang Hsieh

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

A novel exact fan-beam image reconstruction formula is presented and validated using both mathematical phantom data and clinical data. This algorithm takes the form of the standard ramp filtered backprojection (FBP) algorithm plus local compensation terms. An equal weighting scheme is utilized in this algorithm in order to properly account for redundantly measured projection data. The algorithm has the desirable property of maintaining a mathematically exact result for: the full scan mode (2π), the short scan mode (π+ full fan angle), and the super-short scan mode (less than (π+ full fan angle)). Another desirable feature of this algorithm is that it is derivative-free. The derivative-free nature of this algorithm distinguishes it from other exact fan-beam FBP algorithms.

Original language	English (US)
Article number	115
Pages (from-to)	1014-1024
Number of pages	11
Journal	Progress in Biomedical Optics and Imaging - Proceedings of SPIE
Volume	5745
Issue number	II
DOIs	https://doi.org/10.1117/12.594694
State	Published - 2005
Externally published	Yes
Event	Medical Imaging 2005 - Physics of Medical Imaging - San Diego, CA, United States Duration: Feb 13 2005 → Feb 15 2005

Keywords

Artifacts
FBP
Fan-beam
Super-short

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Radiology Nuclear Medicine and imaging
Biomaterials

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10.1117/12.594694

Cite this

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title = "Exact fan-beam reconstruction via ramp-filtered backprojection and local compensation",

abstract = "A novel exact fan-beam image reconstruction formula is presented and validated using both mathematical phantom data and clinical data. This algorithm takes the form of the standard ramp filtered backprojection (FBP) algorithm plus local compensation terms. An equal weighting scheme is utilized in this algorithm in order to properly account for redundantly measured projection data. The algorithm has the desirable property of maintaining a mathematically exact result for: the full scan mode (2π), the short scan mode (π+ full fan angle), and the super-short scan mode (less than (π+ full fan angle)). Another desirable feature of this algorithm is that it is derivative-free. The derivative-free nature of this algorithm distinguishes it from other exact fan-beam FBP algorithms.",

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AU - Chen, Guang Hong

AU - Tolakanahalli, Ranjini

AU - Zhuang, Tingliang

AU - Nett, Brian E.

AU - Hsieh, Jiang

PY - 2005

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AB - A novel exact fan-beam image reconstruction formula is presented and validated using both mathematical phantom data and clinical data. This algorithm takes the form of the standard ramp filtered backprojection (FBP) algorithm plus local compensation terms. An equal weighting scheme is utilized in this algorithm in order to properly account for redundantly measured projection data. The algorithm has the desirable property of maintaining a mathematically exact result for: the full scan mode (2π), the short scan mode (π+ full fan angle), and the super-short scan mode (less than (π+ full fan angle)). Another desirable feature of this algorithm is that it is derivative-free. The derivative-free nature of this algorithm distinguishes it from other exact fan-beam FBP algorithms.

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Exact fan-beam reconstruction via ramp-filtered backprojection and local compensation

Abstract

Keywords

ASJC Scopus subject areas

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