CT Image Reconstruction With Iterative Streak Artifact Reduction

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Solution Overview

Problem

Conventional Computed Tomography (CT) systems face challenges in reconstructing 3D images from limited projections, leading to streak artifacts due to the few-view reconstruction problem, where the number of unknowns exceeds the number of linear equations, resulting in noisy measurements.

Innovation Solution

The CT image reconstruction (CTIR) system employs an iterative approach with initial and final stages using convex optimization techniques, such as gradient descent or conjugate gradient, and regularized derivative least squares methods to generate an initial 3D image quickly, reducing bias and minimizing streak artifacts by iteratively refining the image until a solution criterion is met.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Productivity

If the number of projections is limited to reduce X-ray dose or increase throughput, then productivity or patient safety is improved, but the reconstructed image quality deteriorates due to streak artifacts

Engineering Contradiction:
ImprovethroughputVSAvoidimage reconstruction accuracy
Core Design Contradiction:
ProductivityVSManufacturing precision

Solution Approach 1:

The patent applies preliminary action by performing a preliminary reconstruction to generate an initial 3D image before the final iterative reconstruction. This initial image serves as a starting point that incorporates prior knowledge about the object's structure, allowing the final reconstruction to converge faster and achieve better accuracy even with limited projections. The preliminary step prepares the system in advance with useful information that guides the subsequent refinement process.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent implements feedback through its iterative reconstruction algorithm that continuously refines the 3D image by comparing forward projections of the current estimate with actual measurements. The algorithm uses the difference (residual) between predicted and observed data to update and improve the image estimate in each iteration, creating a closed-loop feedback system that progressively reduces reconstruction errors and eliminates streak artifacts even when the number of projections is limited.

Inventive Principle:
Principle #23Feedback

2Object-affected harmful factors

If the number of projections is reduced to limit X-ray dose, then patient safety is improved, but measurement precision deteriorates due to insufficient data

Engineering Contradiction:
ImproveX-ray doseVSAvoidprojection measurement accuracy
Core Design Contradiction:
Object-affected harmful factorsVSMeasurement precision

Solution Approach 1:

The patent applies parameter changes by modifying the mathematical parameters of the reconstruction process rather than the physical measurement parameters. Instead of increasing the number of projections (physical parameter), the system changes the reconstruction algorithm parameters, including the cost function formulation, regularization terms, and iterative optimization parameters. This allows achieving better image quality from the same limited measurements by optimizing how the data is processed and interpreted.

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent introduces an intermediary element in the form of a preliminary reconstructed 3D image that acts as a mediator between the limited projection data and the final high-quality image. This intermediate representation contains structural information that bridges the gap between insufficient measurements and the desired complete image, allowing the system to recover detailed information that would otherwise be lost due to the limited number of projections.

Inventive Principle:
Principle #24Intermediary (Mediator)

3Device complexity

If conventional reconstruction algorithms are used with limited projections, then device complexity is kept simple, but image quality deteriorates with streak artifacts

Engineering Contradiction:
Improvereconstruction algorithm complexityVSAvoidimage reconstruction quality
Core Design Contradiction:
Device complexityVSManufacturing precision

Solution Approach 1:

The patent applies segmentation by dividing the reconstruction process into distinct stages: a preliminary reconstruction stage and a final iterative refinement stage. Each stage has a specific purpose and uses appropriately tailored algorithms. The preliminary stage quickly generates a coarse image structure, while the final stage refines details. This segmentation allows the system to achieve high image quality without requiring an overly complex single-stage algorithm, managing computational complexity through functional decomposition.

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

The CTIR system effectively reconstructs 3D images with reduced streak artifacts and high-frequency content, improving image quality even with limited projections by dynamically generating attenuation coefficients and using foreground voxels to suppress noise, thereby enhancing the accuracy and clarity of the reconstructed images.

Implementation Method 1

The X-ray source transmits X-rays through the object with an initial intensity, and the X-ray detector, which is on the opposite side of the object from the source, measures the final intensities of the X-rays that pass through the object and impinge on pixels of a detector

Methodology Applied
Scientific EffectX-ray transmission and attenuation: X-Ray

Implementation Method 2

The LAC is a measure of the attenuation of X-rays as the X-rays pass through a certain material

Methodology Applied
Scientific EffectLinear attenuation coefficient measurement: Absorption (EM radiation)

Data Source

PatentUS10282869B2Few-view image reconstruction
Publication Date: 2019.05.07 LAWRENCE LIVERMORE NAT SECURITY LLC
  • US10282869B2 patent drawing
  • US10282869B2 patent drawing
  • US10282869B2 patent drawing

AI summary

A CT image reconstruction system is provided that provides a solution to a few-view problem by generating a 3D image from measurements and a forward projection matrix for a CT scan of an object that tends to minimize streaks and other artifacts. The system initially receives measurements and a forward projection matrix for the CT scan. The system during an initial stage generates an initial 3D image based on various constraints so that (1) the reconstruction of the initial 3D image can be perform quickly and (2) the difference between the measurements and the forward projection of the initial 3D image has significantly lower contrast and high frequency content as compared the measurements themselves. The system then during a final stage applies an iterative algorithm to reconstruct the 3D image with the 3D image initialized to the initial 3D image at the beginning of the iterative algorithm.