Computer graphics: principles and practice (2nd ed.)
Computer graphics: principles and practice (2nd ed.)
A survey of applications of an affine invariant norm
Mathematical methods in computer aided geometric design
Spherical wavelets: efficiently representing functions on the sphere
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Multiresolution analysis for surfaces of arbitrary topological type
ACM Transactions on Graphics (TOG)
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Multiresolution signal processing for meshes
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Spectral compression of mesh geometry
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Attack modelling: towards a second generation watermarking benchmark
Signal Processing - Special section on information theoretic aspects of digital watermarking
Watermarking 3D Objects for Verification
IEEE Computer Graphics and Applications
Geometry-Based Watermarking of 3D Models
IEEE Computer Graphics and Applications
Robust Watermarking and Affine Registration of 3D Meshes
IH '02 Revised Papers from the 5th International Workshop on Information Hiding
A Shape-Preserving Data Embedding Algorithm for NURBS Curves and Surfaces
CGI '99 Proceedings of the International Conference on Computer Graphics
Robust Watermarking of Polygonal Meshes
GMP '00 Proceedings of the Geometric Modeling and Processing 2000
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Wavelet-Based Multiresolution Analysis of Irregular Surface Meshes
IEEE Transactions on Visualization and Computer Graphics
Removing excess topology from isosurfaces
ACM Transactions on Graphics (TOG)
Robust Watermarking of Point-Sampled Geometry
SMI '04 Proceedings of the Shape Modeling International 2004
Wavelet-based blind watermarking of 3D models
Proceedings of the 2004 workshop on Multimedia and security
On the optimality of spectral compression of mesh data
ACM Transactions on Graphics (TOG)
Perceptibility of Haptic Digital Watermarking of Virtual Textures
WHC '05 Proceedings of the First Joint Eurohaptics Conference and Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems
Blind Robust Watermarking Schemes for Copyright Protection of 3D Mesh Objects
IEEE Transactions on Visualization and Computer Graphics
Watermarking of 3d irregular meshes based on wavelet multiresolution analysis
IWDW'05 Proceedings of the 4th international conference on Digital Watermarking
Robust watermarking on polygonal meshes using distribution of vertex norms
IWDW'04 Proceedings of the Third international conference on Digital Watermarking
Data hiding on 3-D triangle meshes
IEEE Transactions on Signal Processing
On bending invariant signatures for surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Watermarking three-dimensional polygonal models through geometric and topological modifications
IEEE Journal on Selected Areas in Communications
Texture-based watermarking of 3D video objects
IEEE Transactions on Circuits and Systems for Video Technology
Blind robust 3-D mesh watermarking based on oblate spheroidal harmonics
IEEE Transactions on Multimedia
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The need for secure communication of high value 3D virtual objects is becoming very important as a consequence of an increasing activity in simulation, entertainment, industrial design and cultural heritage. Secure communications of intangibles rely on cryptography and on watermarking of the transmitted objects to protect them against modifications (authentication watermarks) and redistributions (tracing forensic watermarks). While watermarking of image, audio and video is reaching maturity, 3D watermarking is still a technology in its infancy. Up to now, 3D watermarking has mainly focused on triangle meshes which are the most used digital representations of the shape of a 3D model. We show in this paper how recent signal processing techniques applied to meshes pave the way towards blind and robust watermarking of 3D shapes. We propose a survey of existing techniques and discuss their robustness, imperceptibility, capacity and security constraints.