Statistical characterization of radiological images: Basic principles and recent progress

Harrison H Barrett, Kyle J. Myers

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

4 Citations (Scopus)

Abstract

This paper surveys our current understanding of the statistical properties of radiological images and their effect on image quality. Attention is given to statistical descriptions needed to compute the performance of ideal or ideal-linear observers on detection and estimation tasks. The effects of measurement noise, random objects and random imaging system are analyzed by nested conditional averaging, leading to a three-term expansion of the data covariance matrix. Characteristic functionals are introduced to account for the object statistics, and it is shown how they can be used to compute the image statistics.

Original languageEnglish (US)
Title of host publicationProgress in Biomedical Optics and Imaging - Proceedings of SPIE
Volume6510
EditionPART 1
DOIs
StatePublished - 2007
EventMedical Imaging 2007: Physics of Medical Imaging - San Diego, CA, United States
Duration: Feb 18 2007Feb 22 2007

Other

OtherMedical Imaging 2007: Physics of Medical Imaging
CountryUnited States
CitySan Diego, CA
Period2/18/072/22/07

Fingerprint

Statistics
Covariance matrix
Imaging systems
Image quality

Keywords

  • Covariance
  • Detection
  • Hotelling observer
  • Image quality
  • Wiener estimator

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Barrett, H. H., & Myers, K. J. (2007). Statistical characterization of radiological images: Basic principles and recent progress. In Progress in Biomedical Optics and Imaging - Proceedings of SPIE (PART 1 ed., Vol. 6510). [651002] https://doi.org/10.1117/12.716908

Statistical characterization of radiological images : Basic principles and recent progress. / Barrett, Harrison H; Myers, Kyle J.

Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Vol. 6510 PART 1. ed. 2007. 651002.

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

Barrett, HH & Myers, KJ 2007, Statistical characterization of radiological images: Basic principles and recent progress. in Progress in Biomedical Optics and Imaging - Proceedings of SPIE. PART 1 edn, vol. 6510, 651002, Medical Imaging 2007: Physics of Medical Imaging, San Diego, CA, United States, 2/18/07. https://doi.org/10.1117/12.716908
Barrett HH, Myers KJ. Statistical characterization of radiological images: Basic principles and recent progress. In Progress in Biomedical Optics and Imaging - Proceedings of SPIE. PART 1 ed. Vol. 6510. 2007. 651002 https://doi.org/10.1117/12.716908
Barrett, Harrison H ; Myers, Kyle J. / Statistical characterization of radiological images : Basic principles and recent progress. Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Vol. 6510 PART 1. ed. 2007.
@inproceedings{c1195e7ff7f74c63be4bba8c00d7fc19,
title = "Statistical characterization of radiological images: Basic principles and recent progress",
abstract = "This paper surveys our current understanding of the statistical properties of radiological images and their effect on image quality. Attention is given to statistical descriptions needed to compute the performance of ideal or ideal-linear observers on detection and estimation tasks. The effects of measurement noise, random objects and random imaging system are analyzed by nested conditional averaging, leading to a three-term expansion of the data covariance matrix. Characteristic functionals are introduced to account for the object statistics, and it is shown how they can be used to compute the image statistics.",
keywords = "Covariance, Detection, Hotelling observer, Image quality, Wiener estimator",
author = "Barrett, {Harrison H} and Myers, {Kyle J.}",
year = "2007",
doi = "10.1117/12.716908",
language = "English (US)",
isbn = "081946628X",
volume = "6510",
booktitle = "Progress in Biomedical Optics and Imaging - Proceedings of SPIE",
edition = "PART 1",

}

TY - GEN

T1 - Statistical characterization of radiological images

T2 - Basic principles and recent progress

AU - Barrett, Harrison H

AU - Myers, Kyle J.

PY - 2007

Y1 - 2007

N2 - This paper surveys our current understanding of the statistical properties of radiological images and their effect on image quality. Attention is given to statistical descriptions needed to compute the performance of ideal or ideal-linear observers on detection and estimation tasks. The effects of measurement noise, random objects and random imaging system are analyzed by nested conditional averaging, leading to a three-term expansion of the data covariance matrix. Characteristic functionals are introduced to account for the object statistics, and it is shown how they can be used to compute the image statistics.

AB - This paper surveys our current understanding of the statistical properties of radiological images and their effect on image quality. Attention is given to statistical descriptions needed to compute the performance of ideal or ideal-linear observers on detection and estimation tasks. The effects of measurement noise, random objects and random imaging system are analyzed by nested conditional averaging, leading to a three-term expansion of the data covariance matrix. Characteristic functionals are introduced to account for the object statistics, and it is shown how they can be used to compute the image statistics.

KW - Covariance

KW - Detection

KW - Hotelling observer

KW - Image quality

KW - Wiener estimator

UR - http://www.scopus.com/inward/record.url?scp=35148860325&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35148860325&partnerID=8YFLogxK

U2 - 10.1117/12.716908

DO - 10.1117/12.716908

M3 - Conference contribution

AN - SCOPUS:35148860325

SN - 081946628X

SN - 9780819466280

VL - 6510

BT - Progress in Biomedical Optics and Imaging - Proceedings of SPIE

ER -