A Fully Three-Dimensional Reconstruction Algorithm with the Nonstationary Filter for Improved Single-Orbit Cone Beam SPECT

Zongjian Cao, B. M W Tsui

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Conventional single-orbit cone beam tomography presents special problems. They include incomplete sampling and inadequate three-dimensional (3D) reconstruction algorithm. The commonly used Feldkamp reconstruction algorithm simply extends the two-dimensional (2D) fan beam algorithm to 3D cone beam geometry. A truly 3D reconstruction formulation has been derived for the single-orbit cone beam SPECT based on the 3D Fourier slice theorem. In the formulation, a nonstationary filter which depends on the distance from the central plane of the cone beam was derived. The filter is applied to the 2D projection data in directions along and normal to the axis-of-rotation. The 3D reconstruction algorithm with the nonstationary filter was evaluated using both computer simulation and experimental measurements. Significant improvement in image quality was demonstrated in terms of decreased artifacts and distortions in cone beam reconstructed images. However, compared with the Feldkamp algorithm, a five-fold increase in processing time is required. Further improvement in image quality needs complete sampling in frequency space.

Original languageEnglish (US)
Pages (from-to)280-287
Number of pages8
JournalIEEE Transactions on Nuclear Science
Volume40
Issue number3
DOIs
StatePublished - Jan 1 1993

Fingerprint

Cones
cones
Orbits
orbits
filters
Image quality
Sampling
sampling
formulations
axes of rotation
Fans
Tomography
fans
artifacts
theorems
tomography
computerized simulation
projection
Geometry
Computer simulation

ASJC Scopus subject areas

  • Nuclear Energy and Engineering
  • Electrical and Electronic Engineering
  • Nuclear and High Energy Physics

Cite this

A Fully Three-Dimensional Reconstruction Algorithm with the Nonstationary Filter for Improved Single-Orbit Cone Beam SPECT. / Cao, Zongjian; Tsui, B. M W.

In: IEEE Transactions on Nuclear Science, Vol. 40, No. 3, 01.01.1993, p. 280-287.

Research output: Contribution to journalArticle

@article{be6eb81f33f744ecba6845d2700331f6,
title = "A Fully Three-Dimensional Reconstruction Algorithm with the Nonstationary Filter for Improved Single-Orbit Cone Beam SPECT",
abstract = "Conventional single-orbit cone beam tomography presents special problems. They include incomplete sampling and inadequate three-dimensional (3D) reconstruction algorithm. The commonly used Feldkamp reconstruction algorithm simply extends the two-dimensional (2D) fan beam algorithm to 3D cone beam geometry. A truly 3D reconstruction formulation has been derived for the single-orbit cone beam SPECT based on the 3D Fourier slice theorem. In the formulation, a nonstationary filter which depends on the distance from the central plane of the cone beam was derived. The filter is applied to the 2D projection data in directions along and normal to the axis-of-rotation. The 3D reconstruction algorithm with the nonstationary filter was evaluated using both computer simulation and experimental measurements. Significant improvement in image quality was demonstrated in terms of decreased artifacts and distortions in cone beam reconstructed images. However, compared with the Feldkamp algorithm, a five-fold increase in processing time is required. Further improvement in image quality needs complete sampling in frequency space.",
author = "Zongjian Cao and Tsui, {B. M W}",
year = "1993",
month = "1",
day = "1",
doi = "10.1109/23.221052",
language = "English (US)",
volume = "40",
pages = "280--287",
journal = "IEEE Transactions on Nuclear Science",
issn = "0018-9499",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "3",

}

TY - JOUR

T1 - A Fully Three-Dimensional Reconstruction Algorithm with the Nonstationary Filter for Improved Single-Orbit Cone Beam SPECT

AU - Cao, Zongjian

AU - Tsui, B. M W

PY - 1993/1/1

Y1 - 1993/1/1

N2 - Conventional single-orbit cone beam tomography presents special problems. They include incomplete sampling and inadequate three-dimensional (3D) reconstruction algorithm. The commonly used Feldkamp reconstruction algorithm simply extends the two-dimensional (2D) fan beam algorithm to 3D cone beam geometry. A truly 3D reconstruction formulation has been derived for the single-orbit cone beam SPECT based on the 3D Fourier slice theorem. In the formulation, a nonstationary filter which depends on the distance from the central plane of the cone beam was derived. The filter is applied to the 2D projection data in directions along and normal to the axis-of-rotation. The 3D reconstruction algorithm with the nonstationary filter was evaluated using both computer simulation and experimental measurements. Significant improvement in image quality was demonstrated in terms of decreased artifacts and distortions in cone beam reconstructed images. However, compared with the Feldkamp algorithm, a five-fold increase in processing time is required. Further improvement in image quality needs complete sampling in frequency space.

AB - Conventional single-orbit cone beam tomography presents special problems. They include incomplete sampling and inadequate three-dimensional (3D) reconstruction algorithm. The commonly used Feldkamp reconstruction algorithm simply extends the two-dimensional (2D) fan beam algorithm to 3D cone beam geometry. A truly 3D reconstruction formulation has been derived for the single-orbit cone beam SPECT based on the 3D Fourier slice theorem. In the formulation, a nonstationary filter which depends on the distance from the central plane of the cone beam was derived. The filter is applied to the 2D projection data in directions along and normal to the axis-of-rotation. The 3D reconstruction algorithm with the nonstationary filter was evaluated using both computer simulation and experimental measurements. Significant improvement in image quality was demonstrated in terms of decreased artifacts and distortions in cone beam reconstructed images. However, compared with the Feldkamp algorithm, a five-fold increase in processing time is required. Further improvement in image quality needs complete sampling in frequency space.

UR - http://www.scopus.com/inward/record.url?scp=0027618016&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027618016&partnerID=8YFLogxK

U2 - 10.1109/23.221052

DO - 10.1109/23.221052

M3 - Article

AN - SCOPUS:0027618016

VL - 40

SP - 280

EP - 287

JO - IEEE Transactions on Nuclear Science

JF - IEEE Transactions on Nuclear Science

SN - 0018-9499

IS - 3

ER -