Point Cloud Attacks in Graph Spectral Domain: When 3D Geometry Meets Graph Signal Processing
This work addresses security concerns in 3D safety-critical applications by introducing a novel attack method, though it is incremental as it builds on existing adversarial attack frameworks.
The paper tackles the vulnerability of point cloud learning models to adversarial attacks by proposing a graph spectral domain attack that perturbs graph transform coefficients to vary geometric structure, achieving high imperceptibility and attack success rates as demonstrated in experiments.
With the increasing attention in various 3D safety-critical applications, point cloud learning models have been shown to be vulnerable to adversarial attacks. Although existing 3D attack methods achieve high success rates, they delve into the data space with point-wise perturbation, which may neglect the geometric characteristics. Instead, we propose point cloud attacks from a new perspective -- the graph spectral domain attack, aiming to perturb graph transform coefficients in the spectral domain that corresponds to varying certain geometric structure. Specifically, leveraging on graph signal processing, we first adaptively transform the coordinates of points onto the spectral domain via graph Fourier transform (GFT) for compact representation. Then, we analyze the influence of different spectral bands on the geometric structure, based on which we propose to perturb the GFT coefficients via a learnable graph spectral filter. Considering the low-frequency components mainly contribute to the rough shape of the 3D object, we further introduce a low-frequency constraint to limit perturbations within imperceptible high-frequency components. Finally, the adversarial point cloud is generated by transforming the perturbed spectral representation back to the data domain via the inverse GFT. Experimental results demonstrate the effectiveness of the proposed attack in terms of both the imperceptibility and attack success rates.