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A log-Euclidean and total variation based variational framework for computational sonography

Banerjee, J; Patel, PA; Ushakov, F; Peebles, D; Deprest, J; Ourselin, S; Hawkes, D; (2018) A log-Euclidean and total variation based variational framework for computational sonography. In: Angelini, ED and Landman, BA, (eds.) Medical Imaging 2018: Image Processing. SPIE: Houston, TX, USA. Green open access

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Abstract

We propose a spatial compounding technique and variational framework to improve 3D ultrasound image quality by compositing multiple ultrasound volumes acquired from different probe orientations. In the composite volume, instead of intensity values, we estimate a tensor at every voxel. The resultant tensor image encapsulates the directional information of the underlying imaging data and can be used to generate ultrasound volumes from arbitrary, potentially unseen, probe positions. Extending the work of Hennersperger et al.,1 we introduce a log-Euclidean framework to ensure that the tensors are positive-definite, eventually ensuring non-negative images. Additionally, we regularise the underpinning ill-posed variational problem while preserving edge information by relying on a total variation penalisation of the tensor field in the log domain. We present results on in vivo human data to show the efficacy of the approach.

Type: Proceedings paper
Title: A log-Euclidean and total variation based variational framework for computational sonography
Event: SPIE Medical Imaging
Location: Houston
Dates: 10 February 2018 - 15 February 2018
Open access status: An open access version is available from UCL Discovery
DOI: 10.1117/12.2292501
Publisher version: https://doi.org/10.1117/12.2292501
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Population Health Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Population Health Sciences > UCL EGA Institute for Womens Health
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Population Health Sciences > UCL EGA Institute for Womens Health > Maternal and Fetal Medicine
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Med Phys and Biomedical Eng
URI: https://discovery.ucl.ac.uk/id/eprint/10041836
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