The NURBS book
IEEE Computer Graphics and Applications
A Shape-Preserving Data Embedding Algorithm for NURBS Curves and Surfaces
CGI '99 Proceedings of the International Conference on Computer Graphics
Secure spread spectrum watermarking for multimedia
IEEE Transactions on Image Processing
Technical Section: Subdivision surface watermarking
Computers and Graphics
Reversible watermarking of NURBS-based CAD models
IH'06 Proceedings of the 8th international conference on Information hiding
Lossless data embedding in electronic inks
IEEE Transactions on Information Forensics and Security
Multiple 3D Medical Data Watermarking for Healthcare Data Management
Journal of Medical Systems
PCM'05 Proceedings of the 6th Pacific-Rim conference on Advances in Multimedia Information Processing - Volume Part II
Blind watermarking of NURBS curves and surfaces
Computer-Aided Design
Technical Section: Topology authentication for CAPD models based on Laplacian coordinates
Computers and Graphics
Watermarking 3D CAPD models for topology verification
Computer-Aided Design
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Two watermarking algorithms for 3D nonuniform rational B-spline (NURBS) graphic data are proposed: one is appropriate for the steganography, and the other for watermarking. Instead of directly embedding data into the parameters of NURBS, the proposed algorithms embed data into the 2D virtual images extracted by parameter sampling of 3D model. As a result, the proposed steganography algorithm can embed information into more places of the surface than the conventional algorithm, while preserving the data size of the model. Also, any existing 2D watermarking technique can be used for the watermarking of 3D NURBS surfaces. From the experiment, it is found that the algorithm for the watermarking is robust to the attacks on weights, control points, and knots. It is also found to be robust to the remodeling of NURBS models.