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A 2D visualization algorithm for a single-element Doppler blood flow velocity sensor data

A simple and sustainable mathematical algorithm for two-dimensional blood flow velocity field visualization based on discrete profiles obtained by scanning with a single-element Doppler sensor is developed. The flow velocity sensor with narrow ultrasonic beam is located on the end of scanning device lever. The measurement of a speed profile is performed by moving the sensor perpendicular to the axis of the vessel. An oscillogram is represented as a dependence of blood flow velocity amplitude from a sensor bias relative to the vessel axis. To visualize the blood flow velocity field in the cross section of the vessel, it is necessary to obtain a series of velocity profiles measured for various orientations of the sensor around the vessel axis. This can be accomplished by appropriate rotation of the scanning device lever with subsequent offset of the sensor relative to the axis. The proposed visualization algorithm is based on an iterative solution of the inverse computerized tomography problem. Analysis of the numerical experiment results allows making a conclusion about practical suitability of the considered algorithm and the theoretical possibility of its best parameters finding.