To address the issue of false positive detections in image anomaly detection caused by the loss of low-frequency features when dealing with high-dimensional feature distributions, we propose the Multi-layer Gaussian Discriminant Anomaly Detection Model (MGAD). This model utilizes distance metrics based on multiple normal distributions to perform anomaly detection. By mining multi-layer feature combinations from normal samples and incorporating a Gaussian Mixture Model (GMM) strategy for pixel-by-pixel probability density estimation, a weighting mechanism is designed to emphasize the role of low-frequency features in Gaussian space. This approach effectively models data collections that do not follow a single normal distribution as a mixture of several Gaussian distributions, thereby reducing false detections. Additionally, we propose a method for calculating the minimum Mahalanobis distance based on the estimation of the Minimum Covariance Determinant (MCD). By identifying a subset with the smallest covariance matrix determinant, this method enhances the robust estimation of the data's central position and spread, thereby reducing the impact of outliers. On the MVTec-AD dataset, MGAD demonstrates outstanding performance with an anomaly detection AUROC (Area Under the Receiver Operating Characteristic curve) of 98.8%, the anomaly localization AUROC of 98.2%, and the pTNR (Local True Negative Rate) for normal samples of 93.1%. Compared with the state-of-the-art models, MGAD improves the detection accuracy for normal samples by 3.6%, demonstrating the best performance among all models.These results highlight the model’s excellent capability in anomaly recognition and reduction of false positives.