Abstract
Currently, tomographic imaging is widely used in medical and industrial non-destructive testing applications. X-ray tomography is the prevalent imaging technology. Modern medical X-ray CT scanners provide up to 1 mm spatial resolution. The disadvantage of X-ray tomography is that it cannot be used for regular medical examinations. Early breast cancer diagnosis is one of the most pressing issues in modern healthcare. Ultrasound tomography devices are being developed in USA, Germany and Russia to address this problem. One of the main challenges in ultrasound tomographic imaging is the development of efficient algorithms for solving inverse problems of wave tomography, which are nonlinear three-dimensional coefficient inverse problems for a hyperbolic differential equation. Solving such computationally-expensive problems requires the use of supercomputers.
Highlights
Tomographic imaging methods are widely used in medicine, non-destructive testing in industry, microscopy, civil engineering, hydrolocation, and seismic studies [1,2,3,4,5]
The possibility of solving inverse problems of X-ray tomography separately in each layer is associated with the unique properties of X-ray radiation, which is easy to absorb, but is very difficult to deflect from the straight line
The results show that the integral approach is efficient for solving the problems of wave diagnostics on coarse grids only
Summary
Tomographic imaging methods are widely used in medicine, non-destructive testing in industry, microscopy, civil engineering, hydrolocation, and seismic studies [1,2,3,4,5]. In Synthetic Aperture Radars (SAR), used for studying the surface of the Earth from the space or from an aircraft, sources and detectors may be positioned on a straight line, at a great distance from the examined object. Such a measurement scheme provides amazing results and may be classified as a tomographic method. The developed wave tomography methods can be used for medical examinations, non-destructive testing in industry and for seismic studies as well. One of the most promising applications is developing medical ultrasonic tomography devices for differential diagnosis of breast cancer
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