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 zernike descriptors for content based shape retrieval
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Rotation invariant spherical harmonic representation of 3D shape descriptors
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
A Survey of Content Based 3D Shape Retrieval Methods
SMI '04 Proceedings of the Shape Modeling International 2004
SMI '04 Proceedings of the Shape Modeling International 2004
Diffusion Distance for Histogram Comparison
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1
EURASIP Journal on Applied Signal Processing
Content-Based 3D Object Retrieval
IEEE Computer Graphics and Applications
Efficient 3-D model search and retrieval using generalized 3-D radon transforms
IEEE Transactions on Multimedia
Post-processing of scanned 3D surface data
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
Hybrid associative retrieval of three-dimensional models
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Matching 2D and 3D articulated shapes using the eccentricity transform
Computer Vision and Image Understanding
A Shape Descriptor for Fast Complementarity Matching in Molecular Docking
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Partial retrieval of CAD models based on the gradient flows in Lie group
Pattern Recognition
Search in non-homogenous random environments?
ACM SIGMETRICS Performance Evaluation Review
A comparison of methods for non-rigid 3D shape retrieval
Pattern Recognition
SHREC'09 track: generic shape retrieval
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
SP-Dock: Protein-Protein Docking Using Shape and Physicochemical Complementarity
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
A unified framework for multimodal retrieval
Pattern Recognition
A novel 3D model retrieval approach using combined shape distribution
Multimedia Tools and Applications
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In this paper, the novel 3D shape impact descriptor is introduced, which is based on the resulting gravitational phenomena in the surrounding area of every 3D object. The 3D object is considered as a distributed 3D mass and the descriptor of the 3D object is indirectly computed from the resulting fields. The field is described using both Newton's and general relativity's laws. In the Newtonian approach, histograms of the field values in the surrounding area of the 3D object are computed, while in the relativistic approach the descriptors are histograms of the time-space curvature in the surrounding area of the 3D object. The basic motivation behind the proposed approach is the robustness with respect to object's degeneracies and the native invariance of the resulting descriptors under rotation and translation. Experiments which were performed in various 3D object databases proved that the proposed method can be efficiently used for 3D object retrieval applications.