The Open Automation and Control Systems Journal

2015, 7 : 49-59
Published online 2015 February 16. DOI: 10.2174/1874444301507010049
Publisher ID: TOAUTOCJ-7-49

Holographic Blind Watermarking Algorithm of a Three-Dimensional Mesh Model Based on the QR Decomposition

Wenju Wang , Liujie Sun , Qin Yang and Zhang Xuan
University of Shanghai for Science and Technology, 516 Jun Gong Road, Shanghai, China, 200093.

ABSTRACT

We propose a holographic blind watermarking algorithm of the three-dimensional mesh model based on the QR decomposition. First, the three-dimensional model is pre-processed by moving the model’s center to the coordinate origin and performing the PCA analysis. Second, the model’s geometric feature matrix is constructed by using the distance from the three-dimensional mesh model’s vortex to the model’s center in the column coordinate system. Then the watermarking information generated by the holographic encrypted technology is embedded into the normalized and blocked model’s geometric feature matrix based on the QR decomposition. Finally, the watermark is embedded into the three-dimensional mesh model via the inverse QR decomposition and inverse normalization operation. The experimental results indicate that this algorithm can resist translation, rotation, scaling, vertex reordering, noise, and cropping attacks, which shows it has a good robustness. This method can effectively protect the three-dimensional mesh model’s intellectual property.

Keywords:

Digital watermark, Holographic encryption, QR decomposition, Three-dimensional mesh mode.