Stealthy Patch-Wise Backdoor Attack in 3D Point Cloud via Curvature Awareness

Backdoor attacks pose a severe threat to deep neural networks (DNNs) by implanting hidden backdoors that can be activated with predefined triggers to manipulate model behaviors maliciously. Recent studies have extended backdoor attacks to 3D point clouds, but most existing triggers are sample-wise and often cause visible geometric artifacts or high optimization cost. To address these limitations, we propose the Stealthy Patch-Wise Backdoor Attack (SPBA), a patch-wise backdoor attack framework for 3D point clouds. Specifically, SPBA decomposes a point cloud into local patches, where each patch is formed by a Farthest Point Sampling (FPS) center and its K-nearest neighbors (KNN). Candidate patches are ranked using a patch imperceptibility score derived from local curvature variation, and a unified spectral trigger is injected into the selected patches by perturbing only the coordinates of existing points while preserving the original point cardinality. Extensive experiments on ModelNet40 and ShapeNetPart further demonstrate that SPBA achieves state-of-the-art stealthiness among prior methods and reduces spectral-trigger computation by 98.43% relative to a sample-wise spectral baseline, while maintaining competitive attack performance. These results support localized spectral design as an effective and efficient approach to stealthy backdoor attacks in 3D point cloud models. Code is available at https://github.com/HazardFY/SPBA.