Perceptual organization and the representation of natural form
Artificial Intelligence
Topological segmentation of discrete surfaces
International Journal of Computer Vision
Matching shapes with a reference point
SCG '94 Proceedings of the tenth annual symposium on Computational geometry
Matching Hierarchical Structures Using Association Graphs
IEEE Transactions on Pattern Analysis and Machine Intelligence
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)
International Journal of Computer Vision
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
3D Model Retrieval with Spherical Harmonics and Moments
Proceedings of the 23rd DAGM-Symposium on Pattern Recognition
Content based retrieval of VRML objects: an iterative and interactive approach
Proceedings of the sixth Eurographics workshop on Multimedia 2001
Skeleton Based Shape Matching and Retrieval
SMI '03 Proceedings of the Shape Modeling International 2003
View-Based 3-D Object Recognition using Shock Graphs
ICPR '02 Proceedings of the 16 th International Conference on Pattern Recognition (ICPR'02) Volume 3 - Volume 3
Rotation invariant spherical harmonic representation of 3D shape descriptors
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
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 Reflective Symmetry Descriptor for 3D Models
Algorithmica
Indexing Hierarchical Structures Using Graph Spectra
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computation of the shock scaffold for unorganized point clouds in 3D
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
The power crust, unions of balls, and the medial axis transform
Computational Geometry: Theory and Applications
Shape modeling and matching in identifying protein structure from low-resolution images
Proceedings of the 2007 ACM symposium on Solid and physical modeling
A spectral approach to shape-based retrieval of articulated 3D models
Computer-Aided Design
Size functions for 3D shape retrieval
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Indexing through laplacian spectra
Computer Vision and Image Understanding
A study of graph spectra for comparing graphs and trees
Pattern Recognition
Size functions for comparing 3D models
Pattern Recognition
Shape modeling and matching in identifying 3D protein structures
Computer-Aided Design
A New Shape Benchmark for 3D Object Retrieval
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
Boosting 3D object retrieval by object flexibility
MM '09 Proceedings of the 17th ACM international conference on Multimedia
A Shape Relationship Descriptor for Radiation Therapy Planning
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part II
Ellipsoidal harmonics for 3-D shape description and retrieval
IEEE Transactions on Multimedia
Squigraphs for fine and compact modeling of 3-D shapes
IEEE Transactions on Image Processing
Population-based fitting of medial shape models with correspondence optimization
IPMI'07 Proceedings of the 20th international conference on Information processing in medical imaging
Segmenting simplified surface skeletons
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
PANORAMA: A 3D Shape Descriptor Based on Panoramic Views for Unsupervised 3D Object Retrieval
International Journal of Computer Vision
Hybrid associative retrieval of three-dimensional models
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
International Journal of Computer Vision
3D shape retrieval by Poisson histogram
Pattern Recognition Letters
Matching 2D and 3D articulated shapes using the eccentricity transform
Computer Vision and Image Understanding
Shape-based retrieval of articulated 3d models using spectral embedding
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Nonrigid Matching of Undersampled Shapes via Medial Diffusion
Computer Graphics Forum
Benchmarks, performance evaluation and contests for 3D shape retrieval
Proceedings of the 10th Performance Metrics for Intelligent Systems Workshop
A 3D shape benchmark for retrieval and automatic classification of architectural data
EG 3DOR'09 Proceedings of the 2nd Eurographics conference on 3D Object Retrieval
ConTopo: non-rigid 3D object retrieval using topological information guided by conformal factors
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
Perceptual evaluation of automatic 2.5d cartoon modelling
PKAW'12 Proceedings of the 12th Pacific Rim conference on Knowledge Management and Acquisition for Intelligent Systems
On 3D object retrieval benchmarking
3D Research
| Hi-index | 0.00 |
We consider the use of medial surfaces to represent symmetries of 3-D objects. This allows for a qualitative abstraction based on a directed acyclic graph of components and also a degree of invariance to a variety of transformations including the articulation and deformation of parts. We demonstrate the use of this representation for both indexing and matching 3-D object models. Our formulation uses the geometric information associated with each node along with an eigenvalue labeling of the adjacency matrix of the subgraph rooted at that node. We present comparative results against the techniques of shape distributions [17] and harmonic spheres [12] on a database of 320 models representing 13 object classes. The results demonstrate that medial surface based graph matching significantly outperforms these techniques for objects with articulating parts.