Abstract
Latest research papers on ultrasound tomography feature a new way of performing the scanning procedure that is similar to computed tomography. The underlying work of computed tomography consists of scanning thin slices with a rotating narrow X-ray beam. Usually, one needs a large number of projections for many different angles to reconstruct an image. In this work, we consider the application of the compressive sensing framework together with randomization to arrange an economy representation of the ultrasound diagnostics data without essential loss of performance. Using this approach, we will be able to randomly select the angles of scanning instead of obtaining all possible projections. We start with a brief overview of ultrasound tomography techniques, after that we formulate the problem of our interest, and provide the appropriate decision with results of preliminary computer simulations.
Highlights
In the 21st century, the amount of information to be processed has increased dramatically, mainly due to mass transitions to processing flows of twodimensional (2-D) and three-dimensional (3-D) data
5 Simulation Results We applied the following two randomization schemes: 1. The entries of the vector Y are picked at random, which corresponds to the m × N matrix A with the only 1 in each row at a random position, and the rest of the entries are zeros
The experiment was performed with the reduced-scale model using various numbers of projections
Summary
In the 21st century, the amount of information to be processed has increased dramatically, mainly due to mass transitions to processing flows of twodimensional (2-D) and three-dimensional (3-D) data. Recently a new paradigm of “compressive sensing” (CS) has been introduced in place of traditional signal processing theory This paradigm makes it possible to restore the sparse information x with sufficient accuracy (see [Donoho, 2006]). To increase the quality and resolution capability of the image obtained in the process of ultrasound diagnostics, both the amount of sensors in the transducer and sampling time are to be increased. This unavoidably leads to the increase of the amount of data transmitted which complicates the overall process. A modern commercial ultrasound tomograph The SoftVue has the following characteristics: 1. Master server: Two processors quad-core Intel Xeon E5620, with 192Gb RAM
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