Consistency condition and ML-EM checkerboard artifacts

Jiangsheng You, Jing Wang, Zhengrong Liang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The expectation maximization (EM) algorithm for the maximum likelihood (ML) image reconstruction criterion generates severe checkerboard artifacts in the presence of noise. A classical remedy is to impose an a priori constraint for a penalized ML or maximum a posteriori probability solution. The penalty reduces the checkerboard artifacts and also introduces uncertainty because a priori information is usually unknown in clinic. Recent theoretical investigation reveals that the noise can be divided into two components. One is called null-space noise which annihilates during filtered backprojection (FBP)-type analytical image reconstruction. The other is called range-space noise which propagates into the FBP-type analytically reconstructed image. In particular, the null-space noise can be numerically estimated. The aim of this work is to investigate the relation between the null-space noise and the checkerboard artifacts in the ML-EM image reconstruction from noise projection data. It is expected that removing the null-space noise from the projection data could improve the signal-to-noise ratio of the data and, therefore, reduce the checkerboard artifacts in the ML-EM reconstructed images. The expectation was realized by computer simulation studies with application to single photon emission computed tomography, where the noise has been a major factor for image degradation. The reduction of the ML-EM checkerboard artifacts by removing the null-space noise avoids the uncertainty of using a priori penalty.

Original languageEnglish (US)
Title of host publicationIEEE Nuclear Science Symposium Conference Record
Pages2245-2250
Number of pages6
Volume4
DOIs
StatePublished - 2007
Event2006 IEEE Nuclear Science Symposium, Medical Imaging Conference and 15th International Workshop on Room-Temperature Semiconductor X- and Gamma-Ray Detectors, Special Focus Workshops, NSS/MIC/RTSD - San Diego, CA, United States
Duration: Oct 29 2006Nov 4 2006

Other

Other2006 IEEE Nuclear Science Symposium, Medical Imaging Conference and 15th International Workshop on Room-Temperature Semiconductor X- and Gamma-Ray Detectors, Special Focus Workshops, NSS/MIC/RTSD
CountryUnited States
CitySan Diego, CA
Period10/29/0611/4/06

Fingerprint

Maximum likelihood
Image reconstruction
Single photon emission computed tomography
Signal to noise ratio
Degradation
Computer simulation
Uncertainty

ASJC Scopus subject areas

  • Computer Vision and Pattern Recognition
  • Industrial and Manufacturing Engineering

Cite this

You, J., Wang, J., & Liang, Z. (2007). Consistency condition and ML-EM checkerboard artifacts. In IEEE Nuclear Science Symposium Conference Record (Vol. 4, pp. 2245-2250). [4179475] https://doi.org/10.1109/NSSMIC.2006.354361

Consistency condition and ML-EM checkerboard artifacts. / You, Jiangsheng; Wang, Jing; Liang, Zhengrong.

IEEE Nuclear Science Symposium Conference Record. Vol. 4 2007. p. 2245-2250 4179475.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

You, J, Wang, J & Liang, Z 2007, Consistency condition and ML-EM checkerboard artifacts. in IEEE Nuclear Science Symposium Conference Record. vol. 4, 4179475, pp. 2245-2250, 2006 IEEE Nuclear Science Symposium, Medical Imaging Conference and 15th International Workshop on Room-Temperature Semiconductor X- and Gamma-Ray Detectors, Special Focus Workshops, NSS/MIC/RTSD, San Diego, CA, United States, 10/29/06. https://doi.org/10.1109/NSSMIC.2006.354361
You J, Wang J, Liang Z. Consistency condition and ML-EM checkerboard artifacts. In IEEE Nuclear Science Symposium Conference Record. Vol. 4. 2007. p. 2245-2250. 4179475 https://doi.org/10.1109/NSSMIC.2006.354361
You, Jiangsheng ; Wang, Jing ; Liang, Zhengrong. / Consistency condition and ML-EM checkerboard artifacts. IEEE Nuclear Science Symposium Conference Record. Vol. 4 2007. pp. 2245-2250
@inproceedings{9a69472b32094472bb1090ab619a7e5b,
title = "Consistency condition and ML-EM checkerboard artifacts",
abstract = "The expectation maximization (EM) algorithm for the maximum likelihood (ML) image reconstruction criterion generates severe checkerboard artifacts in the presence of noise. A classical remedy is to impose an a priori constraint for a penalized ML or maximum a posteriori probability solution. The penalty reduces the checkerboard artifacts and also introduces uncertainty because a priori information is usually unknown in clinic. Recent theoretical investigation reveals that the noise can be divided into two components. One is called null-space noise which annihilates during filtered backprojection (FBP)-type analytical image reconstruction. The other is called range-space noise which propagates into the FBP-type analytically reconstructed image. In particular, the null-space noise can be numerically estimated. The aim of this work is to investigate the relation between the null-space noise and the checkerboard artifacts in the ML-EM image reconstruction from noise projection data. It is expected that removing the null-space noise from the projection data could improve the signal-to-noise ratio of the data and, therefore, reduce the checkerboard artifacts in the ML-EM reconstructed images. The expectation was realized by computer simulation studies with application to single photon emission computed tomography, where the noise has been a major factor for image degradation. The reduction of the ML-EM checkerboard artifacts by removing the null-space noise avoids the uncertainty of using a priori penalty.",
author = "Jiangsheng You and Jing Wang and Zhengrong Liang",
year = "2007",
doi = "10.1109/NSSMIC.2006.354361",
language = "English (US)",
isbn = "1424405610",
volume = "4",
pages = "2245--2250",
booktitle = "IEEE Nuclear Science Symposium Conference Record",

}

TY - GEN

T1 - Consistency condition and ML-EM checkerboard artifacts

AU - You, Jiangsheng

AU - Wang, Jing

AU - Liang, Zhengrong

PY - 2007

Y1 - 2007

N2 - The expectation maximization (EM) algorithm for the maximum likelihood (ML) image reconstruction criterion generates severe checkerboard artifacts in the presence of noise. A classical remedy is to impose an a priori constraint for a penalized ML or maximum a posteriori probability solution. The penalty reduces the checkerboard artifacts and also introduces uncertainty because a priori information is usually unknown in clinic. Recent theoretical investigation reveals that the noise can be divided into two components. One is called null-space noise which annihilates during filtered backprojection (FBP)-type analytical image reconstruction. The other is called range-space noise which propagates into the FBP-type analytically reconstructed image. In particular, the null-space noise can be numerically estimated. The aim of this work is to investigate the relation between the null-space noise and the checkerboard artifacts in the ML-EM image reconstruction from noise projection data. It is expected that removing the null-space noise from the projection data could improve the signal-to-noise ratio of the data and, therefore, reduce the checkerboard artifacts in the ML-EM reconstructed images. The expectation was realized by computer simulation studies with application to single photon emission computed tomography, where the noise has been a major factor for image degradation. The reduction of the ML-EM checkerboard artifacts by removing the null-space noise avoids the uncertainty of using a priori penalty.

AB - The expectation maximization (EM) algorithm for the maximum likelihood (ML) image reconstruction criterion generates severe checkerboard artifacts in the presence of noise. A classical remedy is to impose an a priori constraint for a penalized ML or maximum a posteriori probability solution. The penalty reduces the checkerboard artifacts and also introduces uncertainty because a priori information is usually unknown in clinic. Recent theoretical investigation reveals that the noise can be divided into two components. One is called null-space noise which annihilates during filtered backprojection (FBP)-type analytical image reconstruction. The other is called range-space noise which propagates into the FBP-type analytically reconstructed image. In particular, the null-space noise can be numerically estimated. The aim of this work is to investigate the relation between the null-space noise and the checkerboard artifacts in the ML-EM image reconstruction from noise projection data. It is expected that removing the null-space noise from the projection data could improve the signal-to-noise ratio of the data and, therefore, reduce the checkerboard artifacts in the ML-EM reconstructed images. The expectation was realized by computer simulation studies with application to single photon emission computed tomography, where the noise has been a major factor for image degradation. The reduction of the ML-EM checkerboard artifacts by removing the null-space noise avoids the uncertainty of using a priori penalty.

UR - http://www.scopus.com/inward/record.url?scp=38649140212&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38649140212&partnerID=8YFLogxK

U2 - 10.1109/NSSMIC.2006.354361

DO - 10.1109/NSSMIC.2006.354361

M3 - Conference contribution

AN - SCOPUS:38649140212

SN - 1424405610

SN - 9781424405619

VL - 4

SP - 2245

EP - 2250

BT - IEEE Nuclear Science Symposium Conference Record

ER -