Doppler Velocity Dataset to Vector Field Reconstruction
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Solution Overview
Problem
Current Doppler echography methods are limited in measuring three-dimensional blood flow velocities as they can only detect motion along a single direction, leading to incomplete characterization of blood flow patterns, and existing methods for reconstructing velocity vector fields from Doppler data face issues with physical consistency and numerical accuracy.
Innovation Solution
A method that transforms Doppler velocity datasets into a mathematically continuous and physically consistent velocity vector field by assuming the velocity at each point is the sum of the Doppler velocity and an irrotational solution, solving an elliptical Poisson equation to ensure continuity and accuracy in velocity reconstruction.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If Doppler echography is used to measure blood flow velocity, then velocity measurement along the scanline direction is achieved, but the measurement is blind to motion in the direction transversal to the scanline
Solution Approach 1:
The patent uses mass conservation as an intermediary physical law to connect the measured Doppler velocity (radial component) with the unmeasured transversal velocity component. By applying the continuity equation, the system infers the missing transversal velocity information from the known radial velocity field, effectively using mass conservation as a mediator to recover complete velocity vector information from partial measurements
Solution Approach 2:
The patent transitions from one-dimensional velocity measurement (along the scanline) to two-dimensional velocity field reconstruction. By integrating the continuity equation across the imaging plane and applying boundary conditions, the system reconstructs the velocity field in multiple dimensions, adding the transversal dimension to the originally one-dimensional Doppler measurement
2Adaptability or versatility
If existing velocity reconstruction methods are used, then velocity vector field reconstruction is attempted, but physical consistency and numerical accuracy are compromised
Solution Approach 1:
The patent implements a feedback mechanism by iteratively applying the continuity equation and adjusting the velocity field reconstruction to satisfy mass conservation constraints. The reconstructed velocity field is continuously validated against the physical law of mass conservation, and adjustments are made until the solution converges to a physically consistent state, ensuring both numerical accuracy and physical reliability
Solution Approach 2:
The patent transforms the velocity reconstruction problem from a direct calculation into a parameter optimization problem. By treating the velocity field parameters as variables to be determined through the continuity equation, the system adjusts these parameters iteratively to satisfy both the measured Doppler velocities and the mass conservation constraint, achieving physically consistent results
3Ease of operation
If Doppler velocity data is used directly without reconstruction, then measurement simplicity is maintained, but incomplete blood flow pattern characterization results
Solution Approach 1:
The patent applies preliminary processing to the Doppler velocity data by pre-calculating the transversal velocity component using the continuity equation before final velocity field reconstruction. This preliminary action prepares the data in a form that enables complete velocity vector field characterization while maintaining the simplicity of the original Doppler measurement approach
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach provides a stable, reproducible, and accurate calculation of the velocity vector field, reducing discontinuities and improving diagnostic and therapeutic capabilities by enabling comprehensive analysis of blood flow patterns without introducing new vorticity, thus enhancing the evaluation of fluid dynamics properties and cardiovascular health indicators.
Implementation Method 1
Doppler echography is widely used in clinical practice and represents a valuable diagnostic tool. However, Doppler echography has a fundamental limitation: it can measure the velocity along the direction of a scanline, it detects the value of velocity at which blood is moving towards or away from the transducer
Data Source
AI summary
A method and device for transforming a Doppler velocity dataset into a velocity vector field, the including: (a) providing a 2D or 3D Doppler velocity dataset, acquired by means of 2D or 3D ultrasonography from an object; b) calculating a velocity vector field by assuming the velocity at each point of the dataset to be the sum of the provided Doppler velocity and an additional vector field derived from an irrotational flow velocity, and by assuming the velocity vector field to be mathematically continuous, therefore solving an elliptical equation of the Poisson type.