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IEEE Computer Graphics and Applications
A Method for Registration of 3-D Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
A survey of moment-based techniques for unoccluded object representation and recognition
CVGIP: Graphical Models and Image Processing
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Computer Aided Geometric Design
Umbilics and lines of curvature for shape interrogation
Computer Aided Geometric Design
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
A survey of free-form object representation and recognition techniques
Computer Vision and Image Understanding
Shape Interrogation for Computer Aided Design and Manufacturing
Shape Interrogation for Computer Aided Design and Manufacturing
Geometry-Based Watermarking of 3D Models
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
Watermarking three-dimensional polygonal models through geometric and topological modifications
IEEE Journal on Selected Areas in Communications
Laplace spectra as fingerprints for image recognition
Computer-Aided Design
Tracing ridges on B-Spline surfaces
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Laplace-Beltrami spectra as 'Shape-DNA' of surfaces and solids
Computer-Aided Design
Digital watermarking of polygonal meshes with linear operators of scale functions
Computer-Aided Design
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This paper presents matching and similarity evaluation methods between two NURBS surfaces, and their application to copyright protection of digital data representing solids or NURBS surfaces. Two methods are employed to match objects: the moment and the curvature methods. The moment method uses integral properties, i.e. the volume, the principal moments of inertia and directions, to find the rigid body transformation as well as the scaling factor. The curvature method is based on the Gaussian and the mean curvatures to establish correspondence between two objects. The matching algorithms are applied to problems of copyright protection. A suspect model is aligned to an original model through the matching methods so that similarity between two models can be assessed to determine if the suspect model contains part(s) of the original model, which may be stored in an independent repository. Three types of tests, the weak, intermediate and strong tests, are proposed for similarity assessment between two objects. The weak and intermediate tests are performed at node points obtained through shape intrinsic wireframing. The strong test relies on isolated umbilical points which can be used as fingerprints of an object for supporting an ownership claim to the original model. The three tests are organized in two decision algorithms such that they produce systematic and statistical measures for a similarity decision between two objects in a hierarchical manner. Based on the systematic and statistical evaluation of similarity, a decision can be reached whether the suspect model is an illegal copy of the original model.