Curvature approximation for triangulated surfaces
Geometric modelling
The digital Michelangelo project: 3D scanning of large statues
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Digital Image Processing
Assembling virtual pots from 3D measurements of their fragments
Proceedings of the 2001 conference on Virtual reality, archeology, and cultural heritage
Model-based registration of front- and backviews of rotationally symmetric objects
Computer Vision and Image Understanding - Registration and fusion of range images
Fast and accurate computation of polyhedral mass properties
Journal of Graphics Tools
A Reflective Symmetry Descriptor
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
3D Model Retrieval with Spherical Harmonics and Moments
Proceedings of the 23rd DAGM-Symposium on Pattern Recognition
Restricted delaunay triangulations and normal cycle
Proceedings of the nineteenth annual symposium on Computational geometry
Polyhedral Model Retrieval Using Weighted Point Sets
SMI '03 Proceedings of the Shape Modeling International 2003
Estimating the tensor of curvature of a surface from a polyhedral approximation
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Rotation invariant spherical harmonic representation of 3D shape descriptors
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
A Geometric Approach to 3D Object Comparison
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
A novel cubic-order algorithm for approximating principal direction vectors
ACM Transactions on Graphics (TOG)
Visualization and 3D Data Processing in the David Restoration
IEEE Computer Graphics and Applications
Building a digital model of Michelangelo's Florentine Pieta
IEEE Computer Graphics and Applications
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In this paper, we address the problem of 3D mesh orientation applied to archaeological fragments coming from a Gothic spire. Initially, these fragments are handled leading to their deterioration while the accuracy of measures (distances, molding shape,. . . ) is not always relevant. To facilitate their study, a 3D acquisition process is applied on these fragments to work on their virtual representations and computerised tools can be proposed. One of them consists in finding the orientation of a 3D mesh. Unfortunately, existing methods provide unexpected results. This is mainly due to the presence of ornamentations we can assimilate to outliers. Therefore, we propose a new method based on the identification of significant areas on the 3D mesh and on the determination of their associated orientation by considering differential parameters. Then, a voting method is performed to identify the orientation appearing the most frequently. Applied on the fragments, we obtain successful results allowing to go further in their analysis.