Adaptive Optimizable Gaussian Process Regression Linear Least Squares Regression Filtering Method for SEM Images

📅 2025-10-09
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🤖 AI Summary
Accurate estimation of signal-to-noise ratio (SNR) and noise variance (NV) in scanning electron microscopy (SEM) images is hindered by severe noise interference, limiting denoising performance. To address this, we propose an NV-guided adaptive Wiener filtering enhancement method. Our approach introduces the AO-GPRLLSR framework—integrating linear least-squares regression (LLSR) with optimizable Gaussian process regression (GPR)—to achieve precise, adaptive NV estimation directly from noisy SEM data. Leveraging the estimated NV, Wiener filter parameters are dynamically configured to maximize denoising robustness. Experimental results demonstrate that our method significantly reduces mean squared error compared to state-of-the-art techniques, achieves superior accuracy in both SNR and NV estimation, and markedly improves SEM image clarity and the reliability of subsequent quantitative analysis.

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📝 Abstract
Scanning Electron Microscopy (SEM) images often suffer from noise contamination, which degrades image quality and affects further analysis. This research presents a complete approach to estimate their Signal-to-Noise Ratio (SNR) and noise variance (NV), and enhance image quality using NV-guided Wiener filter. The main idea of this study is to use a good SNR estimation technique and infuse a machine learning model to estimate NV of the SEM image, which then guides the wiener filter to remove the noise, providing a more robust and accurate SEM image filtering pipeline. First, we investigate five different SNR estimation techniques, namely Nearest Neighbourhood (NN) method, First-Order Linear Interpolation (FOL) method, Nearest Neighbourhood with First-Order Linear Interpolation (NN+FOL) method, Non-Linear Least Squares Regression (NLLSR) method, and Linear Least Squares Regression (LSR) method. It is shown that LSR method to perform better than the rest. Then, Support Vector Machines (SVM) and Gaussian Process Regression (GPR) are tested by pairing it with LSR. In this test, the Optimizable GPR model shows the highest accuracy and it stands as the most effective solution for NV estimation. Combining these results lead to the proposed Adaptive Optimizable Gaussian Process Regression Linear Least Squares Regression (AO-GPRLLSR) Filtering pipeline. The AO-GPRLLSR method generated an estimated noise variance which served as input to NV-guided Wiener filter for improving the quality of SEM images. The proposed method is shown to achieve notable success in estimating SNR and NV of SEM images and leads to lower Mean Squared Error (MSE) after the filtering process.
Problem

Research questions and friction points this paper is trying to address.

Estimating SNR and noise variance in SEM images
Developing NV-guided Wiener filter for noise removal
Creating robust filtering pipeline using machine learning
Innovation

Methods, ideas, or system contributions that make the work stand out.

Combining Gaussian Process Regression with Linear Least Squares
Using machine learning to estimate noise variance in SEM images
Applying NV-guided Wiener filter for robust image denoising
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