Visual reconstruction
On the stability of the travelling salesman problem algorithm of Hopfield and Tank
Biological Cybernetics
An Eigendecomposition Approach to Weighted Graph Matching Problems
IEEE Transactions on Pattern Analysis and Machine Intelligence
Constrained nets for graph matching and other quadratic assignment problems
Neural Computation
A Graduated Assignment Algorithm for Graph Matching
IEEE Transactions on Pattern Analysis and Machine Intelligence
Using Spin Images for Efficient Object Recognition in Cluttered 3D Scenes
IEEE Transactions on Pattern Analysis and Machine Intelligence
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)
ACM Transactions on Graphics (TOG)
A Linear Programming Approach for the Weighted Graph Matching Problem
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape Matching and Object Recognition Using Shape Contexts
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
3D Shape Histograms for Similarity Search and Classification in Spatial Databases
SSD '99 Proceedings of the 6th International Symposium on Advances in Spatial Databases
3D Model Retrieval with Spherical Harmonics and Moments
Proceedings of the 23rd DAGM-Symposium on Pattern Recognition
Skeleton Based Shape Matching and Retrieval
SMI '03 Proceedings of the Shape Modeling International 2003
Shape-Similarity Search of 3D Models by using Enhanced Shape Functions
TPCG '03 Proceedings of the Theory and Practice of Computer Graphics 2003
On the Intrinsic Reconstruction of Shape from Its Symmetries
IEEE Transactions on Pattern Analysis and Machine Intelligence
Rotation invariant spherical harmonic representation of 3D shape descriptors
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Automatic and Robust Computation of 3D Medial Models Incorporating Object Variability
International Journal of Computer Vision - Special Issue on Research at the University of North Carolina Medical Image Display Analysis Group (MIDAG)
A Formal Classification of 3D Medial Axis Points and Their Local Geometry
IEEE Transactions on Pattern Analysis and Machine Intelligence
Recognition of Shapes by Editing Their Shock Graphs
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Survey of Content Based 3D Shape Retrieval Methods
SMI '04 Proceedings of the Shape Modeling International 2004
3D Shape Registration using Regularized Medial Scaffolds
3DPVT '04 Proceedings of the 3D Data Processing, Visualization, and Transmission, 2nd International Symposium
Indexing Hierarchical Structures Using Graph Spectra
IEEE Transactions on Pattern Analysis and Machine Intelligence
3D Object Retrieval using Many-to-many Matching of Curve Skeletons
SMI '05 Proceedings of the International Conference on Shape Modeling and Applications 2005
Shape-based retrieval and analysis of 3D models
ACM SIGGRAPH 2004 Course Notes
Feature-based similarity search in 3D object databases
ACM Computing Surveys (CSUR)
Salient geometric features for partial shape matching and similarity
ACM Transactions on Graphics (TOG)
The Generalized Shape Distributions for Shape Matching and Analysis
SMI '06 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006
The Medial Scaffold of 3D Unorganized Point Clouds
IEEE Transactions on Pattern Analysis and Machine Intelligence
A new 3D model retrieval approach based on the elevation descriptor
Pattern Recognition
Curve-Skeleton Properties, Applications, and Algorithms
IEEE Transactions on Visualization and Computer Graphics
Defining and computing curve-skeletons with medial geodesic function
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Reeb graphs for shape analysis and applications
Theoretical Computer Science
Retrieving articulated 3-D models using medial surfaces
Machine Vision and Applications
Medial Representations: Mathematics, Algorithms and Applications
Medial Representations: Mathematics, Algorithms and Applications
Transitions of the 3D Medial Axis under a One-Parameter Family of Deformations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Isometric Deformation Modelling for Object Recognition
CAIP '09 Proceedings of the 13th International Conference on Computer Analysis of Images and Patterns
Surface reconstruction from point clouds by transforming the medial scaffold
Computer Vision and Image Understanding
Dense sampling and fast encoding for 3D model retrieval using bag-of-visual features
Proceedings of the ACM International Conference on Image and Video Retrieval
Shape-based searching for product lifecycle applications
Computer-Aided Design
Shape Similarity for 3D Video Sequences of People
International Journal of Computer Vision
The medial scaffold for three-dimensional shape modeling and recognition
The medial scaffold for three-dimensional shape modeling and recognition
On the Foundations of Relaxation Labeling Processes
IEEE Transactions on Pattern Analysis and Machine Intelligence
A new 3-D model retrieval system based on aspect-transition descriptor
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part IV
A Bayesian 3-D Search Engine Using Adaptive Views Clustering
IEEE Transactions on Multimedia
SHREC'10 track: non-rigid 3D shape retrieval
EG 3DOR'10 Proceedings of the 3rd Eurographics conference on 3D Object Retrieval
3D shape descriptor for object recognition based on Kinect-like depth image
Image and Vision Computing
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We propose to measure 3D shape similarity by matching a medial axis (MA) based representation-the medial scaffold(MS). Shape similarity is measured as the minimum extent of deformation necessary for one shape to match another, guided by representing the shapes using the MS. This approach is an extension of an approach to match 2D shapes by matching their shock graphs, whereas here in 3D the MS is in an extended form of a hypergraph. The MS representation is both hierarchical and complete. Our approach approximates the theoretical optimal deformation path between two shapes by modeling shape deformations as discrete topological changes (the transitions) of the MS hypergraphs, where each graphical transition is associated with a cost measurement defined by the transition. Our algorithm first regularizes the MS hypergraphs and uses the graduated assignment graph-matching scheme to match the hypergraphs. A set of compatibility functions is defined to measure the pairwise similarity between the MS nodes, curves (graph links), and sheets (hyperlinks). Results on matching carpal bones and shapes from the SHREC'10 non-rigid dataset promise its potential in a range of applications.