Abstract
Ultrasonic color Doppler technique is useful for the observation of the blood flow in heart. The information on blood flow by this technique is Doppler velocity, which is the velocity component in the direction of the beam emitted from the ultrasonic probe. The ultrasonic color Doppler image displays the distribution of Doppler velocity on an observation plane using red and blue corresponding to toward flow and away flow, respectively. Streamlines overlapped on ultrasonic color Doppler image are considered to be suitable for the quantitative evaluation of the characteristics of the flow. In this investigation, a new concept of the flow function is proposed in order to obtain streamlines on an arbitrary section of three-dimensional flow for visualizing and evaluating the characteristics of the flow. Flow function at a point on a plane is defined as the flow rate along a path from a reference point. This function is a multivalued function. The section of the three-dimensional display of the function at a constant value shows streamlines. The streamlines separated by an arbitrary unit flow can be fixed with the approximated point sources of the unit flow. These point sources are named simple sources. These simple sources are start points or end points of streamlines.
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