Adaptive Gaussian Filter for X-Ray CT Noise Reduction
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Solution Overview
Problem
Conventional adaptive filters for reducing noise and streak components in X-ray CT measurements require complex parameter adjustments, which are not clinically efficient and often result in insufficient noise reduction.
Innovation Solution
A noise reduction processor that applies an adaptive Gaussian filter with filter parameters determined by noise variance, using a noise model to estimate variances before and after logarithmic conversion, and generates filters based on after-log variances to uniformly reduce noise and streak components in X-ray intensity data.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If conventional adaptive filters are used with individually adjusted parameters, then some noise reduction effect is achieved, but the filter parameters require complex adjustment and the noise reduction effect is insufficient
Solution Approach 1:
The filter automatically determines its own parameters by calculating noise variance from the input data itself, without requiring external parameter adjustment. The standard deviation of the Gaussian filter is set to match the calculated noise standard deviation, enabling the system to self-adapt to different noise conditions in various images
Solution Approach 2:
The filter parameters (standard deviation) are dynamically changed based on the calculated noise characteristics of the input data. Instead of using fixed or manually adjusted parameters, the system automatically adjusts the filter strength to match the actual noise level in each image region
2Ease of operation
If fixed filters are used, then parameter adjustment is simple, but the noise reduction effect is insufficient for varying noise levels
Solution Approach 1:
The filter transitions from a static fixed filter to a dynamic adaptive filter that automatically adjusts its parameters based on the input data characteristics. The noise variance is calculated for each image, and the filter standard deviation is dynamically set to match this calculated noise level, enabling adaptation to varying noise conditions without manual intervention
3Measurement precision
If X-ray dose is increased to improve image quality, then noise and streak components are reduced, but patient safety is compromised
Solution Approach 1:
The system converts the harmful noise and streak artifacts present in low-dose images into useful information for filter parameter determination. By calculating noise variance from the low-dose data itself, the system creates an adaptive filter that is specifically tailored to reduce the actual noise present, thereby improving image quality without requiring increased radiation exposure
Data Source
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AI summary
A noise reduction method comprising the steps of a) deciding a noise variance of each measurement signal based on a predetermined noise model, b) generating a discrete kernel of a filter for each measurement signal, which kernel indicates a frequency response of the filter for each measurement signal, based on the noise variance to the P-th power, c) filtering each measurement signal by applying the corresponding discrete kernel.