Time-domain spectral-element ultrasound waveform tomography using a stochastic quasi-Newton method

Christian Boehm; Naiara Korta Martiartu; Nicolas Vinard; Ivana Jovanović Balic; Andreas Fichtner

doi:10.1117/12.2293299

6 March 2018 Time-domain spectral-element ultrasound waveform tomography using a stochastic quasi-Newton method

Christian Boehm, Naiara Korta Martiartu, Nicolas Vinard, Ivana Jovanović Balic, Andreas Fichtner

Proceedings Volume 10580, Medical Imaging 2018: Ultrasonic Imaging and Tomography; 105800H (2018) https://doi.org/10.1117/12.2293299
Event: SPIE Medical Imaging, 2018, Houston, Texas, United States

Abstract

Waveform inversion for ultrasound computed tomography (USCT) is a promising imaging technique for breast cancer screening. However, the improved spatial resolution and the ability to constrain multiple parameters simultaneously demand substantial computational resources for the recurring simulations of the wave equation. Hence, it is crucial to use fast and accurate methods for numerical wave propagation, on the one hand, and to keep the number of required simulations as small as possible, on the other hand. We present an efficient strategy for acoustic waveform inversion that combines (i) a spectral-element continuous Galerkin method for solving the wave equation, (ii) conforming hexahedral mesh generation to discretize the scanning device, (iii) a randomized descent method based on mini-batches to reduce the computational cost for misfit and gradient computations, and (iv) a trust-region method using a quasi-Newton approximation of the Hessian to iteratively solve the inverse problem. This approach combines ideas and state-of-the-art methods from global-scale seismology, large-scale nonlinear optimization, and machine learning. Numerical examples for a synthetic phantom demonstrate the efficiency of the discretization, the effectiveness of the mini-batch approximation and the robustness of the trust-region method to reconstruct the acoustic properties of breast tissue with partial information.

Citation Download Citation

Christian Boehm, Naiara Korta Martiartu, Nicolas Vinard, Ivana Jovanović Balic, and Andreas Fichtner "Time-domain spectral-element ultrasound waveform tomography using a stochastic quasi-Newton method", Proc. SPIE 10580, Medical Imaging 2018: Ultrasonic Imaging and Tomography, 105800H (6 March 2018); https://doi.org/10.1117/12.2293299

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available