SIAM Journal on Scientific and Statistical Computing
Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
A survey of free-form object representation and recognition techniques
Computer Vision and Image Understanding
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)
The Complex EGI: A New Representation for 3-D Pose Determination
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
Nefertiti: a query by content software for three-dimensional models databases management
NRC '97 Proceedings of the International Conference on Recent Advances in 3-D Digital Imaging and Modeling
Skeleton Based Shape Matching and Retrieval
SMI '03 Proceedings of the Shape Modeling International 2003
Rotation invariant spherical harmonic representation of 3D shape descriptors
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Shock Graphs and Shape Matching
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Improved Fast Gauss Transform and Efficient Kernel Density Estimation
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Pattern Classification (2nd Edition)
Pattern Classification (2nd Edition)
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
Feature-based similarity search in 3D object databases
ACM Computing Surveys (CSUR)
Three-dimensional shape searching: state-of-the-art review and future trends
Computer-Aided Design
Spatially Enhanced Bags of Words for 3D Shape Retrieval
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
A diffusion wavelet approach for 3-D model matching
Computer-Aided Design
Improving efficiency of density-based shape descriptors for 3D object retrieval
MIRAGE'07 Proceedings of the 3rd international conference on Computer vision/computer graphics collaboration techniques
Subspace methods for retrieval of general 3D models
Computer Vision and Image Understanding
Design reusability assessment for effective CAD model retrieval and reuse
International Journal of Computer Applications in Technology
Similarity score fusion by ranking risk minimization for 3D object retrieval
EG 3DOR'08 Proceedings of the 1st Eurographics conference on 3D Object Retrieval
SHREC'09 track: generic shape retrieval
EG 3DOR'09 Proceedings of the 2nd Eurographics conference on 3D Object Retrieval
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We propose a novel probabilistic framework for the extraction of density-based 3D shape descriptors using kernel density estimation. Our descriptors are derived from the probability density functions (pdf) of local surface features characterizing the 3D object geometry. Assuming that the shape of the 3D object is represented as a mesh consisting of triangles with arbitrary size and shape, we provide effcient means to approximate the moments of geometric features on a triangle basis. Our framework produces a number of 3D shape descriptors that prove to be quite discriminative in retrieval applications. We test our descriptors and compare them with several other histogram-based methods on two 3D model databases, Princeton Shape Benchmark and Sculpteur, which are fundamentally different in semantic content and mesh quality. Experimental results show that our methodology not only improves the performance of existing descriptors, but also provides a rigorous framework to advance and to test new ones.