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

Albinsson, John LU ; Ahlgren, Åsa Rydén LU orcid ; Jansson, Tomas LU and Cinthio, Magnus LU (2017) In Medical & Biological Engineering & Computing 55(8). p.1327-1338
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
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Block matching, In silico, In vivo, Speckle tracking, Sub-sample estimation, Ultrasound
in
Medical & Biological Engineering & Computing
volume
55
issue
8
pages
1327 - 1338
publisher
Springer
external identifiers
  • pmid:27837312
  • wos:000407310300016
  • scopus:84994759890
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
2024-04-19 13:37:05
@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}},
  keywords     = {{Block matching; In silico; In vivo; Speckle tracking; Sub-sample estimation; Ultrasound}},
  language     = {{eng}},
  number       = {{8}},
  pages        = {{1327--1338}},
  publisher    = {{Springer}},
  series       = {{Medical & Biological Engineering & 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}},
  doi          = {{10.1007/s11517-016-1593-7}},
  volume       = {{55}},
  year         = {{2017}},
}