Graphical Models - Special issue on SMI 2002
Deformable Model Retrieval Based on Topological and Geometric Signatures
IEEE Transactions on Visualization and Computer Graphics
Example-based skeleton extraction
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Three-Dimensional Surface Mesh Segmentation Using Curvedness-Based Region Growing Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Harmonic 1-form based skeleton extraction from examples
Graphical Models
Local Orthogonal Cutting Method for Computing Medial Curves and Its Biomedical Applications
SIAM Journal on Scientific Computing
Affine-invariant curvature estimators for implicit surfaces
Computer Aided Geometric Design
Invariant surface-based shape descriptor for dynamic surface encoding
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part I
Technical Section: Topological saliency
Computers and Graphics
3D human motion analysis framework for shape similarity and retrieval
Image and Vision Computing
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In the recent past, different application fields have showed an increasing interest in shape description oriented to recognition and similarity issues.Beyond the application aims, the capability of handling details separating them from building elements, the invariance to a set of geometric transformations, the uniqueness and stability to noise represent fundamental properties of each proposed model.This paper defines an affine-invariant skeletal representation; starting from global features of a 3D shape, locatedby curvature properties, a Reeb graph is defined using the topological distance as quotient function.If the mesh has uniformly spaced vertices,this Reeb graph can be also rendered as a geometric skeleton defined by the barycenters of pseudo-geodesic circles sequentially expanded from all the feature points.