Learning Discriminative Signed Distance Functions from Multi-scale Level-of-detail Features for 3D Anomaly Detection

arXiv cs.CV / 5/6/2026

📰 NewsSignals & Early TrendsIdeas & Deep AnalysisModels & Research

Key Points

  • The paper proposes a surface-based 3D anomaly detection approach that learns a discriminative signed distance function (SDF) from point clouds.
  • It introduces a Noisy Points Generation (NPG) module to synthesize different noise types, improving feature learning by exposing the model to abnormal-point scenarios.
  • A Multi-scale Level-of-detail Feature (MLF) module is used to extract both fine local and coarse global context from point clouds, addressing scale and sparsity challenges.
  • An Implicit Surface Discrimination (ISD) module leverages the multi-scale features to learn an implicit surface representation, enabling the SDF to distinguish abnormal from normal points effectively.
  • On Anomaly-ShapeNet and Real3D-AD, the method reaches average object-level AUROC scores of 92.1% and 85.9%, outperforming the previous best method by 2.1% and 3.6%, respectively, with code released.

Abstract

Detecting anomalies from 3D point clouds has received increasing attention in the field of computer vision, with some group-based or point-based methods achieving impressive results in recent years. However, learning accurate point-wise representations for 3D anomaly detection faces great challenges due to the large scale and sparsity of point clouds. In this study, a surface-based method is proposed for 3D anomaly detection, which learns a discriminative signed distance function using multi-scale level-of-detail features. We first present a Noisy Points Generation (NPG) module to generate different types of noise, thereby facilitating the learning of discriminative features by exposing abnormal points. Then, we introduce a Multi-scale Level-of-detail Feature (MLF) module to capture multi-scale information from a point cloud, which provides both fine-grained local and coarse-grained global feature information. Finally, we design an Implicit Surface Discrimination (ISD) module that leverages the extracted multi-scale features to learn an implicit surface representation of point clouds, which effectively trains a signed distance function to distinguish between abnormal and normal points. Experimental results demonstrate that the proposed method achieves an average object-level AUROC of 92.1\% and 85.9\% on the Anomaly-ShapeNet and Real3D-AD datasets, outperforming the current best approach by 2.1\% and 3.6\%, respectively. Codes are available at https://anonymous.4open.science/r/DLF-3AD-DA61.