Error analysis of axial displacement estimation in elasticity imaging

Sheng Wen Huang, Jonathan M. Rubin, Congxian Jia, Ragnar Olafsson, Russell S. Witte, Matthew O'Donnell

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

Abstract

Correlation-based speckle tracking methods are commonly used in elasticity imaging to estimate displacements. In the presence of local strain, a larger window size (in cross correlation calculation) results in larger displacement error. To reduce tracking error, we proposed using a short window followed by a correlation coefficient filter. Although simulation and experimental results demonstrated the efficacy of the method, it is not clear why correlation filtering reduces tracking error. In this study, we addressed this issue and analyzed the relationship between displacement error and tracking parameters such as window size and filter size. For simplicity, we focused on axial displacement estimation. Analytic forms for tracking without and with correlation filtering were derived to predict tracking error. For the former case, the expression shows increase of error with resolution. For the latter case, there exists one extra negative term so that tracking error decreases with resolution. Furthermore, given a fixed resolution, a smaller window together with a larger filter is preferred. Simulations were performed and the results match the theory well for strains up to 4%.

Original languageEnglish (US)
Title of host publication2007 IEEE Ultrasonics Symposium Proceedings, IUS
Pages1969-1972
Number of pages4
DOIs
StatePublished - Dec 1 2007
Event2007 IEEE Ultrasonics Symposium, IUS - New York, NY, United States
Duration: Oct 28 2007Oct 31 2007

Publication series

NameProceedings - IEEE Ultrasonics Symposium
ISSN (Print)1051-0117

Other

Other2007 IEEE Ultrasonics Symposium, IUS
CountryUnited States
CityNew York, NY
Period10/28/0710/31/07

Keywords

  • Correlation filtering
  • Displacement estimation
  • Elasticity imaging
  • Error analysis
  • Speckle tracking

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

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    Huang, S. W., Rubin, J. M., Jia, C., Olafsson, R., Witte, R. S., & O'Donnell, M. (2007). Error analysis of axial displacement estimation in elasticity imaging. In 2007 IEEE Ultrasonics Symposium Proceedings, IUS (pp. 1969-1972). [4410068] (Proceedings - IEEE Ultrasonics Symposium). https://doi.org/10.1109/ULTSYM.2007.495