A survey of applications of an affine invariant norm
Mathematical methods in computer aided geometric design
Shock Graphs and Shape Matching
International Journal of Computer Vision
Topology matching for fully automatic similarity estimation of 3D shapes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
ACM Transactions on Graphics (TOG)
Surface Coding Based on Morse Theory
IEEE Computer Graphics and Applications
3D Shape Histograms for Similarity Search and Classification in Spatial Databases
SSD '99 Proceedings of the 6th International Symposium on Advances in Spatial Databases
Rotation invariant spherical harmonic representation of 3D shape descriptors
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Skeleton Pruning by Contour Partitioning with Discrete Curve Evolution
IEEE Transactions on Pattern Analysis and Machine Intelligence
Path Similarity Skeleton Graph Matching
IEEE Transactions on Pattern Analysis and Machine Intelligence
Retrieving articulated 3-D models using medial surfaces
Machine Vision and Applications
Geodesic matching of triangulated surfaces
IEEE Transactions on Image Processing
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In this paper we propose a skeletonization approach that encodes a 3D object into a skeletal Reeb graph using a normalized mixture distance function. Then, we introduce a novel graph matching algorithm by comparing the relative shortest paths betwveen the skeleton endpoints. Experimental results demonstrate the feasibility of the proposed topological Reeb graph as a shape signature for 3D object retrieval using a benchmark of articulated shapes.