Poly-Energetic CT Reconstruction Algorithm for Beam-Hardening Correction

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Solution Overview

Problem

Current CT scanners face challenges in accurately reconstructing images due to beam-hardening artifacts caused by poly-energetic X-ray beams, particularly when dealing with diverse body tissues and metal implants, which degrades image quality and makes quantitative evaluations difficult.

Innovation Solution

The development of poly-energetic iterative Filtered Backprojection (piFBP) algorithms that incorporate diverse body tissues and metal implants into the reconstruction process, using adaptive attenuation coefficient decomposition and a smoothing kernel to reduce noise and improve convergence stability, allowing for fast and accurate artifact-free image reconstruction.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If poly-energetic reconstruction methods are used to address beam-hardening artifacts, then image quality improves, but computational complexity increases dramatically

Engineering Contradiction:
Improveimage qualityVSAvoidcomputational complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent segments the object into N known base materials and uses a linear combination of their energy dependences to approximate the energy dependence of the attenuation coefficient in each voxel. This segmentation approach transforms the complex poly-energetic reconstruction problem into a more manageable form by decomposing it into contributions from individual base materials, thereby improving image quality while controlling computational complexity.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent changes the parameter representation by expressing the attenuation coefficient as a linear combination of base material energy dependences. This parameter transformation allows the use of iterative reconstruction methods that converge to accurate solutions without requiring dramatically increased computational resources, thus resolving the contradiction between image quality and computational complexity.

Inventive Principle:
Principle #35Parameter changes

2Measurement precision

If iterative-based base material approaches are used with multiple base materials, then reconstruction accuracy improves, but computation time increases

Engineering Contradiction:
Improvereconstruction accuracyVSAvoidcomputation time
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The patent incorporates N known base materials into the reconstruction model, using a linear combination of their energy dependences. By selectively including only the necessary base materials relevant to the specific imaging scenario rather than all possible materials, the method achieves high reconstruction accuracy while avoiding the excessive computation time that would result from modeling every possible material composition.

Inventive Principle:
Principle #16Partial or excessive action

3Measurement precision

If dual energy approaches are used to decompose attenuation coefficients, then beam-hardening correction accuracy improves, but hardware complexity and scan time increase

Engineering Contradiction:
Improvebeam-hardening correction accuracyVSAvoidhardware complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent develops a poly-energetic reconstruction method that can be applied to single-spectrum CT scanners, making the technique universally applicable across different scanner types. By formulating the reconstruction algorithm to work with standard single-energy hardware while incorporating poly-energetic physics models, the method achieves accurate beam-hardening correction without requiring complex dual-energy hardware configurations or rapid kVp switching capabilities.

Inventive Principle:
Principle #6Universality (Multi-functionality)

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 piFBP algorithm effectively eliminates beam-hardening artifacts, reduces metal artifacts, and enables quantitative reconstruction of accurate images with poly-energetic spectra, suitable for clinical applications on current CT scanners, and can tolerate spectrum mismatches.

Implementation Method 1

lower-energy photons are preferentially absorbed compared to higher-energy photons; the beam gradually becomes harder as its mean energy increases

Methodology Applied
Scientific EffectPhotoelectric absorption: Photoelectric Effect

Implementation Method 2

decompose the attenuation coefficients into components related to photoelectric absorption and Compton scattering

Methodology Applied
Scientific EffectCompton scattering: Compton Scattering

Data Source

PatentUS10121267B2Spectral estimation and poly-energetic reconstruction methods and X-ray systems
Publication Date: 2018.11.06 DUKE UNIV
  • US10121267B2 patent drawing
  • US10121267B2 patent drawing
  • US10121267B2 patent drawing

AI summary

Spectral estimation and poly-energetic reconstructions methods and x-ray systems are disclosed. According to an aspect, a spectral estimation method includes using multiple, poly-energetic x-ray sources to generate x-rays and to direct the x-rays towards a target object. The method also includes acquiring a series of poly-energetic measurements of x-rays from the target object. Further, the method includes estimating cross-sectional images of the target object based on the poly-energetic measurements. The method also includes determining path lengths through the cross-sectional images. Further, the method includes determining de-noised poly-energetic measurements and de-noised path lengths based on the acquired poly-energetic measurements and the determined path lengths. The method also includes estimating spectra for angular trajectories of a field of view based on the de-noised poly-energetic measurements and the path lengths.