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A combination of parabolic and grid slope interpolation for 2D tissue displacement estimations

Albinsson, John LU ; Ahlgren, Åsa Rydén LU ; Jansson, Tomas LU and Cinthio, Magnus LU (2016) In Medical and Biological Engineering and Computing
Abstract

Parabolic sub-sample interpolation for 2D block-matching motion estimation is computationally efficient. However, it is well known that the parabolic interpolation gives a biased motion estimate for displacements greater than |y.2| samples (y = 0, 1, …). Grid slope sub-sample interpolation is less biased, but it shows large variability for displacements close to y.0. We therefore propose to combine these sub-sample methods into one method (GS15PI) using a threshold to determine when to use which method. The proposed method was evaluated on simulated, phantom, and in vivo ultrasound cine loops and was compared to three sub-sample interpolation methods. On average, GS15PI reduced the absolute sub-sample estimation errors in the simulated... (More)

Parabolic sub-sample interpolation for 2D block-matching motion estimation is computationally efficient. However, it is well known that the parabolic interpolation gives a biased motion estimate for displacements greater than |y.2| samples (y = 0, 1, …). Grid slope sub-sample interpolation is less biased, but it shows large variability for displacements close to y.0. We therefore propose to combine these sub-sample methods into one method (GS15PI) using a threshold to determine when to use which method. The proposed method was evaluated on simulated, phantom, and in vivo ultrasound cine loops and was compared to three sub-sample interpolation methods. On average, GS15PI reduced the absolute sub-sample estimation errors in the simulated and phantom cine loops by 14, 8, and 24% compared to sub-sample interpolation of the image, parabolic sub-sample interpolation, and grid slope sub-sample interpolation, respectively. The limited in vivo evaluation of estimations of the longitudinal movement of the common carotid artery using parabolic and grid slope sub-sample interpolation and GS15PI resulted in coefficient of variation (CV) values of 6.9, 7.5, and 6.8%, respectively. The proposed method is computationally efficient and has low bias and variance. The method is another step toward a fast and reliable method for clinical investigations of longitudinal movement of the arterial wall.

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author
organization
publishing date
type
Contribution to journal
publication status
epub
subject
keywords
Block matching, In silico, In vivo, Speckle tracking, Sub-sample estimation, Ultrasound
in
Medical and Biological Engineering and Computing
pages
12 pages
publisher
Springer
external identifiers
  • scopus:84994759890
  • wos:000407310300016
ISSN
0140-0118
DOI
10.1007/s11517-016-1593-7
language
English
LU publication?
yes
id
0b80ae87-73d9-4202-b392-36aa53230ebb
date added to LUP
2016-11-28 13:53:32
date last changed
2017-09-18 11:31:29
@article{0b80ae87-73d9-4202-b392-36aa53230ebb,
  abstract     = {<p>Parabolic sub-sample interpolation for 2D block-matching motion estimation is computationally efficient. However, it is well known that the parabolic interpolation gives a biased motion estimate for displacements greater than |y.2| samples (y = 0, 1, …). Grid slope sub-sample interpolation is less biased, but it shows large variability for displacements close to y.0. We therefore propose to combine these sub-sample methods into one method (GS15PI) using a threshold to determine when to use which method. The proposed method was evaluated on simulated, phantom, and in vivo ultrasound cine loops and was compared to three sub-sample interpolation methods. On average, GS15PI reduced the absolute sub-sample estimation errors in the simulated and phantom cine loops by 14, 8, and 24% compared to sub-sample interpolation of the image, parabolic sub-sample interpolation, and grid slope sub-sample interpolation, respectively. The limited in vivo evaluation of estimations of the longitudinal movement of the common carotid artery using parabolic and grid slope sub-sample interpolation and GS15PI resulted in coefficient of variation (CV) values of 6.9, 7.5, and 6.8%, respectively. The proposed method is computationally efficient and has low bias and variance. The method is another step toward a fast and reliable method for clinical investigations of longitudinal movement of the arterial wall.</p>},
  author       = {Albinsson, John and Ahlgren, Åsa Rydén and Jansson, Tomas and Cinthio, Magnus},
  issn         = {0140-0118},
  keyword      = {Block matching,In silico,In vivo,Speckle tracking,Sub-sample estimation,Ultrasound},
  language     = {eng},
  month        = {11},
  pages        = {12},
  publisher    = {Springer},
  series       = {Medical and Biological Engineering and Computing},
  title        = {A combination of parabolic and grid slope interpolation for 2D tissue displacement estimations},
  url          = {http://dx.doi.org/10.1007/s11517-016-1593-7},
  year         = {2016},
}