Graph Wavelet-Based Point Cloud Geometric Denoising with Surface-Consistent Non-Negative Kernel Regression

Point cloud applications suffer from geometric noise caused by measurement errors induced by the point cloud acquisition system. We propose a novel graph construction method, surface-consistent non-negative kernel regression (SC-NNK), that can achieve more accurate denoising of geometry information in combination with spectral graph wavelet transforms (SGWTs). Unlike conventional graph construction methods such as the K-nearest neighbor (KNN), which have been adopted in previous SGWT-based geometry denoising methods, SC-NNK graphs consider geometrical and frequency characteristics to remove redundant edge connections from a KNN graph. In addition, we propose a novel noise level estimation method that achieves improved accuracy by detecting flat surfaces in point clouds, resulting in better wavelet shrinkage thresholds for denoising. Our experimental results show that the proposed method outperforms recent deep-learning-based and graph-based state-of-the-art denoising methods.