Characterization of three-dimensional incompressible flows using echo particle image velocimetry

A system for producing velocity data associated with three- dimensional (3D) flow field images, comprising:

• a processor configured to perform operations including:
• receiving data associated with a plurality of frames of a flow field acquired by a medical imaging device, the data comprising information corresponding to measurements of the flow field over time within a chamber;
• performing for each of the plurality of frames, operations including:
• generating, for a respective frame, a data correction based on an interaction of the flow field with the chamber, wherein generating the data correction comprises at least one of:
• generating the data correction based on the interaction of the flow field with one or more boundaries of the chamber, wherein the data correction is based on determining a velocity of the flow field as a time derivative of a position on the one or more boundaries of the chamber that is interacting with the flow field,
• generating the data correction based on a two-dimensional perpendicular flow field data within the chamber, or
• generating the data correction based on a Doppler effect of the flow field within the chamber,
• applying the data correction to a velocity field corresponding to the respective frame, and
• imposing an incompressibility constraint for the flow field on one or more data points of the respective frame;
• and
• generating subsequent to imposing the incompressibility constraint, a plurality of corrected velocity fields each of which corresponds to one of the plurality of frames.

One or more non-transitory computer readable media storing computer program instructions that, when executed by one or more processors, effectuate operations comprising:

• receiving data associated with a plurality of frames of a flow field acquired by a medical imaging device, the data comprising information corresponding to measurements of the flow field over time within a chamber;
• performing for each of the plurality of frames, operations including:
• generating, for a respective frame, a data correction based on an interaction of the flow field with the chamber, wherein generating the data correction comprises at least one of:
• generating the data correction based on the interaction of the flow field with one or more boundaries of the chamber, wherein the data correction is based on determining a velocity of the flow field as a time derivative of a position on the one or more boundaries of the chamber that is interacting with the flow field,
• generating the data correction based on a two-dimensional perpendicular flow field data within the chamber, or
• generating the data correction based on a Doppler effect of the flow field within the chamber,
• applying the data correction to a velocity field corresponding to the respective frame, and
• imposing an incompressibility constraint for the flow field on one or more data points of the respective frame;
• and
• generating, subsequent to imposing the incompressibility constraint, a plurality of corrected velocity fields each of which corresponds to one of the plurality of frames.