Modified Hilbert Transform for Bidirectional Blood Flow Imaging

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Solution Overview

Problem

Current Doppler spectral domain optical coherence tomography (SDOCT) techniques are oversampled, leading to reduced imaging speed and increased susceptibility to motion artifacts, and are unable to detect bidirectional flow in a single B-scan pass, while lacking velocity-resolved blood flow information.

Innovation Solution

The method employs a modified Hilbert transform algorithm to separate moving and non-moving scatterer data in interferometric signals, enabling single-pass volumetric bidirectional blood flow imaging (SPFI-SDOCT) without spatial frequency modulation, applicable to both spectrometer-based and swept-source OCT systems, allowing for bidirectional flow detection in a single B-scan.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If conventional Doppler SDOCT techniques are used with phase differences between sequential A-scans, then velocity calculation is achieved, but imaging speed is reduced and motion artifacts increase

Engineering Contradiction:
Improvevelocity calculation accuracyVSAvoidimaging speed
Core Design Contradiction:
Measurement precisionVSProductivity

Solution Approach 1:

The patent segments the interferometric signal into moving scatterer components and non-moving scatterer components by applying the modified Hilbert transform algorithm. This separation allows independent processing of flow information (from moving scatterers) and structural information (from non-moving scatterers), enabling faster imaging without sacrificing velocity measurement accuracy.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent extracts the moving scatterer data from the interferometric signals using the modified Hilbert transform algorithm. By taking out only the relevant flow information and separating it from the non-moving components, the system achieves faster processing speed while maintaining velocity measurement precision.

Inventive Principle:
Principle #2Taking out (Extraction)

2Measurement precision

If joint spectral and time domain acquisition scheme (STdOCT) is used, then near phase-noise limited velocity resolution is achieved, but imaging speed is reduced and motion artifacts increase

Engineering Contradiction:
Improvevelocity resolutionVSAvoidimaging speed
Core Design Contradiction:
Measurement precisionVSProductivity

Solution Approach 1:

The patent replaces the mechanical/time-domain oversampling approach of STdOCT with a frequency-domain approach using the modified Hilbert transform. Instead of acquiring multiple sequential A-scans at the same lateral position (time-domain oversampling), the system uses spectral analysis of the interferometric signal to extract velocity information, achieving similar or better velocity resolution with reduced temporal sampling requirements and thus higher imaging speed.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

3Measurement precision

If spatial frequency modulation technique is used for full range complex conjugate resolved imaging, then real and complex conjugate reflectivities are separated, but device complexity increases and bidirectional flow detection in single B-scan is not achieved

Engineering Contradiction:
Improvecomplex conjugate resolutionVSAvoidspatial frequency modulation requirements
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent extracts the complex conjugate components and separates them from the real components by applying the modified Hilbert transform algorithm to the interferometric signal. This mathematical operation naturally separates the moving scatterer signals (containing complex conjugate information) from non-moving scatterers, achieving full range complex conjugate resolution without requiring additional spatial frequency modulation hardware.

Inventive Principle:
Principle #2Taking out (Extraction)

Solution Approach 2:

The modified Hilbert transform algorithm acts as an intermediary mathematical tool that processes the interferometric signal to separate real and complex conjugate reflectivities. Instead of using physical spatial frequency modulation devices, the patent uses this computational intermediary to achieve the same separation effect, simplifying the overall system while enabling bidirectional flow detection in a single B-scan.

Inventive Principle:
Principle #24Intermediary (Mediator)

4Measurement precision

If power Doppler ultrasonography analog technique is used, then sensitivity for moving scatterers is improved, but velocity information is eliminated

Engineering Contradiction:
Improvesensitivity for moving scatterersVSAvoidvelocity information
Core Design Contradiction:
Measurement precisionVSLoss of information

Solution Approach 1:

The patent segments the power spectrum into different frequency components, allowing the system to detect moving scatterers (which produce Doppler frequency shifts) while preserving velocity information through spectral analysis. The modified Hilbert transform algorithm processes the spectral data to maintain both sensitivity for moving scatterers and velocity measurement capability, unlike conventional power Doppler which integrates all frequencies and loses directional information.

Inventive Principle:
Principle #1Segmentation

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 improves data acquisition speed and sensitivity for imaging small spatial volumes with moderately high flow velocities, providing velocity-resolved blood flow information and reducing motion artifacts, while maintaining resolution and sensitivity for small vessels.

Implementation Method 1

separating the moving scatterer data from the non-moving scatterer data in the interferometric signals using a modified Hilbert transform algorithm

Methodology Applied
Scientific EffectHilbert transform:

Implementation Method 2

determining the velocity of moving scatterers using their temporal frequency shifts rather than the phase differences between sequential A-scans at a single lateral scan position

Methodology Applied
Scientific EffectDoppler effect: Doppler Effect

Implementation Method 3

combining the first reflected light and the second reflected light to produce interferometric signals

Methodology Applied
Scientific EffectOptical interference: Interference

Data Source

PatentUS8718743B2Methods for single-pass volumetric bidirectional blood flow imaging spectral domain optical coherence tomography using a modified hilbert transform
Publication Date: 2014.05.06 DUKE UNIV
  • US8718743B2 patent drawing
  • US8718743B2 patent drawing
  • US8718743B2 patent drawing

AI summary

The present subject matter relates to in vivo volumetric bidirectional blood flow imaging using single-pass flow imaging spectral domain optical coherence tomography. This technique uses a modified Hilbert transform algorithm to separate moving and non-moving scatterers within a depth. The resulting reconstructed image maps the components of moving scatterers flowing into and out of the imaging axis onto opposite image halfplanes, enabling volumetric bidirectional flow mapping without manual segmentation.