Ultrasound tomography calibration using structured matrix completion

Amin Karbasi, Sewoong Oh, Reza Parhizkar, Martin Vetterli

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

Abstract

Calibration of ultrasound tomography devices is a challenging problem and of highly practical interest in medical and seismic imaging. This work addresses the position calibration problem in circular apertures where sensors are arranged on a circular ring and act both as transmitters and receivers.We introduce a new method of calibration based on the timeof-flight (ToF) measurements between sensors when the enclosed medium is homogeneous. Knowing all the pairwise ToFs, one can find the positions of the sensors using multi-dimensional scaling (MDS) method. In practice, however, we are facing two major sources of loss. One is due to the transitional behaviour of the sensors, which makes the ToF measurements for close-by sensors unavailable. The other is due to the random malfunctioning of the sensors, that leads to random missing ToF measurements. On top of the missing entries, since in practice the impulse response of the piezoelectric and the time origin in the measurement procedure are not present, a time mismatch is also added to the measurements. In this work, we first show that a matrix defined from all the ToF measurements is of rank at most four. In order to estimate the structured and random missing entries, utilizing the fact that the matrix in question is shown to be low-rank, we apply a state-of-the-art low-rank matrix completion algorithm. Then we use MDS in order to find the correct positions of the sensors. To confirm the functionality of our method in practice, simulations mimicking the measurements of an ultrasound tomography device are performed.

Original languageEnglish (US)
Title of host publication20th International Congress on Acoustics 2010, ICA 2010 - Incorporating Proceedings of the 2010 Annual Conference of the Australian Acoustical Society
Pages4114-4121
Number of pages8
StatePublished - 2010
Event20th International Congress on Acoustics 2010, ICA 2010 - Incorporating the 2010 Annual Conference of the Australian Acoustical Society - Sydney, NSW, Australia
Duration: Aug 23 2010Aug 27 2010

Publication series

Name20th International Congress on Acoustics 2010, ICA 2010 - Incorporating Proceedings of the 2010 Annual Conference of the Australian Acoustical Society
Volume5

Other

Other20th International Congress on Acoustics 2010, ICA 2010 - Incorporating the 2010 Annual Conference of the Australian Acoustical Society
CountryAustralia
CitySydney, NSW
Period8/23/108/27/10

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

Fingerprint Dive into the research topics of 'Ultrasound tomography calibration using structured matrix completion'. Together they form a unique fingerprint.

Cite this