关键词: 数字水印, 几何建模, 神经网络, 特征点

Abstract: In this paper，a new digital watermarking scheme for a 3D shape model defined as a point set has been proposed.The algorithm is based on an incrementally expanding Neural Network and the statistical analysis of its learning process for an unorganized point cloud.Using the information obtained from the study of these normal variations of vertices near a sharp edge or a high curvature area of the target space to detect features.The watermarks embedded by using the method can be detected，to some extent，after such attacks as cropping，（simulated） simplification，similarity transformation，and additive random noise applied on the watermarked point set model.

Key words: digital watermarking, geometric modeling, neural network, feature detection