Optimization of Numerical Algorithms for Solving Inverse Problems of Ultrasonic Tomography on a Supercomputer

Romanov, S. Yu.

doi:10.1007/978-3-319-71255-0_6

Cited by 10 publications

(3 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This inverse problem is nonlinear, and we formulate it as a problem of minimizing the residual functional between the measured and computed wave fields. We use an iterative gradient method to minimize the functional [8,13]. Figure 1(a) shows the scheme of a tomographic examination with rotating transducer arrays.…”

Section: Inverse Problem and The Solution Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Supercomputer Simulations of Nondestructive Tomographic Imaging with Rotating Transducers

Romanov

2018

JSFI

View full text Add to dashboard Cite

A method of nondestructive ultrasound tomographic imaging employing a rotating transducer system is proposed. The rotating transducer system increases the number of emitters and detectors in a tomographic scheme by several times and makes it possible to neutralize image artifacts resulting from incomplete-data tomography. The inverse problem of tomographic reconstructing the velocity structure inside the inspected object is considered as a nonlinear coefficient inverse problem for a scalar wave equation. Scalable iterative algorithms for reconstructing the longitudinal wave velocity inside the object are discussed. The methods are based on the explicit representation for the gradient of the residual functional. The algorithms employ parallelizing the computations over emitter positions. Numerical simulations performed on the "Lomonosov-2" supercomputer showed that the tomographic methods developed can not only detect boundaries of defects, but also determine the wave velocity distribution inside the defects with high accuracy provided that both reflected and transmitted waves are registered.

show abstract

Section: Inverse Problem and The Solution Methodsmentioning

confidence: 99%

“…Solving them requires huge computational resources, and implementation of solution algorithms is not possible without the use of high-performance computing systems. In recent years, significant progress has been made in developing efficient numerical methods for solving such inverse problems using supercomputers [6,13].…”

Section: Introductionmentioning

confidence: 99%

Supercomputer Simulations of Nondestructive Tomographic Imaging with Rotating Transducers

Romanov

2018

JSFI

View full text Add to dashboard Cite

show abstract

“…Representations of the gradient Φ c (u(c, a)), Φ a (u(c, a)) were obtained in [3,5]. Finite difference time-domain method [6] was used to compute the wavefields.…”

Section: Formulation Of the Inverse Problem Of Wave Tomographymentioning

confidence: 99%

Supercomputer Simulations in Design of Ultrasound Tomography Devices

2018

JSFI

View full text Add to dashboard Cite

The paper considers the use of supercomputers in design of medical ultrasound tomography devices. The mathematical models describing the wave propagation in ultrasound tomography should take into account such physical phenomena as diffraction, multiple scattering, and so on. The inverse problem of wave tomography is posed as a coefficient inverse problem with respect to the wave propagation velocity and the absorption factor. Numerous simulations made it possible to determine the optimal parameters of an ultrasound tomograph in order to obtain a spatial resolution of 1.5 mm suitable for early-stage breast cancer diagnosis. The developed methods were tested both on model problems and on real data obtained at the experimental test bench for tomographic studies.

show abstract

Supercomputer Simulation Study of the Convergence of Iterative Methods for Solving Inverse Problems of 3D Acoustic Tomography with the Data on a Cylindrical Surface

Romanov

2018

Communications in Computer and Information Science

View full text Add to dashboard Cite

Optimization of Numerical Algorithms for Solving Inverse Problems of Ultrasonic Tomography on a Supercomputer

Cited by 10 publications

References 24 publications

Supercomputer Simulations of Nondestructive Tomographic Imaging with Rotating Transducers

Supercomputer Simulations of Nondestructive Tomographic Imaging with Rotating Transducers

Supercomputer Simulations in Design of Ultrasound Tomography Devices

Supercomputer Simulation Study of the Convergence of Iterative Methods for Solving Inverse Problems of 3D Acoustic Tomography with the Data on a Cylindrical Surface

Contact Info

Product

Resources

About