Waveform inversion with source encoding for breast sound speed reconstruction in ultrasound computed tomography

Kun Wang, Thomas Matthews, Fatima Anis, Cuiping Li, Neb Duric, Mark Anastasio

Research output: Contribution to journalArticlepeer-review


Ultrasound computed tomography (USCT) holds great promise for improving the detection and management of breast cancer. Because they are based on the acoustic wave equation, waveform inversion-based reconstruction methods can produce images that possess improved spatial resolution properties over those produced by ray-based methods. However, waveform inversion methods are computationally demanding and have not been applied widely in USCT breast imaging. In this work, source encoding concepts are employed to develop an accelerated USCT reconstruction method that circumvents the large computational burden of conventional waveform inversion methods. This method, referred to as the waveform inversion with source encoding (WISE) method, encodes the measurement data using a random encoding vector and determines an estimate of the sound speed distribution by solving a stochastic optimization problem by use of a stochastic gradient descent algorithm. Both computer simulation and experimental phantom studies are conducted to demonstrate the use of the WISE method. The results suggest that the WISE method maintains the high spatial resolution of waveform inversion methods while significantly reducing the computational burden.

Original languageEnglish (US)
Article number7055442
Pages (from-to)475-493
Number of pages19
JournalIEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Issue number3
StatePublished - Mar 2015
Externally publishedYes

ASJC Scopus subject areas

  • Instrumentation
  • Acoustics and Ultrasonics
  • Electrical and Electronic Engineering


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