An improved exact filtered backprojection algorithm for spiral computed tomography

Katsevich, Alexander

doi:10.1016/s0196-8858(03)00099-x

Cited by 214 publications

(187 citation statements)

References 3 publications

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“…6 and 15 and reconstruction algorithms based on the 3D Radon inversion formula 16,17 and filtered backprojection 18,19 were developed. The orthogonal circle-and-line, 20 saddle, [21][22][23] and helical orbits [24][25][26][27][28] were also investigated by several authors. A rotating line source CT system is another possible geometry to provide a complete data set since it effectively has multiple circular source orbits.…”

Section: -3mentioning

confidence: 99%

A new method to combine 3D reconstruction volumes for multiple parallel circular cone beam orbits

Baek

Pelc

2010

Medical Physics

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Purpose: This article presents a new reconstruction method for 3D imaging using a multiple 360°c ircular orbit cone beam CT system, specifically a way to combine 3D volumes reconstructed with each orbit. The main goal is to improve the noise performance in the combined image while avoiding cone beam artifacts. Methods:The cone beam projection data of each orbit are reconstructed using the FDK algorithm. When at least a portion of the total volume can be reconstructed by more than one source, the proposed combination method combines these overlap regions using weighted averaging in frequency space. The local exactness and the noise performance of the combination method were tested with computer simulations of a Defrise phantom, a FORBILD head phantom, and uniform noise in the raw data. Results: A noiseless simulation showed that the local exactness of the reconstructed volume from the source with the smallest tilt angle was preserved in the combined image. A noise simulation demonstrated that the combination method improved the noise performance compared to a single orbit reconstruction. Conclusions:In CT systems which have overlap volumes that can be reconstructed with data from more than one orbit and in which the spatial frequency content of each reconstruction can be calculated, the proposed method offers improved noise performance while keeping the local exactness of data from the source with the smallest tilt angle.

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Section: -3mentioning

confidence: 99%

A new method to combine 3D reconstruction volumes for multiple parallel circular cone beam orbits

Baek

Pelc

2010

Medical Physics

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“…Wang et al [9] primarily developed a generalized approximate the Feldkamp algorithm which is excellent in terms of efficiency and parallelism. A breakthrough was made in 2002 when Katsevich derived a filtered backprojection (FBP) algorithm that is similar to the Feldkamp algorithm but perform reconstruct images exactly [1][2]. Late, the Katsevich algorithm was numerically implemented by Yu et al [3][4].…”

Section: Introductionmentioning

confidence: 99%

“…

AbstractThe first theoretically exact spiral cone-beam CT reconstruction algorithm developed was by Katsevich [1][2]. Recently,

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mentioning

confidence: 99%

Analysis of Performance Evaluation of Parallel Katsevich Algorithm for 3-D CT Image Reconstruction

Deng

et al. 2006

First International Multi-Symposiums on Computer and Computational Sciences (IMSCCS'06)

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“…In 2001, Katsevich 5 derived the first theoretically exact reconstruction formula for the spiral cone-beam geometry in the filtered backprojection format. The work by Katsevich is based on the PI-line and Tam-Danielsson detection geometry.…”

Section: Introductionmentioning

confidence: 99%

Numerical studies on Feldkamp-type and Katsevich-type algorithms for cone-beam scanning along nonstandard spirals

Zhu

Zhao

et al. 2004

SPIE Proceedings

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In this paper, we perform numerical studies on Feldkamp-type and Katsevich-type algorithms for cone-beam reconstruction with a nonstandard spiral locus to develop an electron-beam micro-CT scanner. Numerical results are obtained using both the approximate and exact algorithms in terms of image quality. It is observed that the two algorithms produce similar quality if the cone angle is not large and/or there is no sharp density change along the zdirection. The Katsevich-type algorithm is generally preferred due to its nature of exactness.

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An improved exact filtered backprojection algorithm for spiral computed tomography

Cited by 214 publications

References 3 publications

A new method to combine 3D reconstruction volumes for multiple parallel circular cone beam orbits

A new method to combine 3D reconstruction volumes for multiple parallel circular cone beam orbits

Analysis of Performance Evaluation of Parallel Katsevich Algorithm for 3-D CT Image Reconstruction

Numerical studies on Feldkamp-type and Katsevich-type algorithms for cone-beam scanning along nonstandard spirals

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