Neural network model for design retrieval in manufacturing systems
Computers in Industry
Feature-based models for CAD/CAM and their limits
Computers in Industry - Special issue: CARS & FOF '92: excerpts from the eighth international conference on CAD/CAM, robotics and factories of the future, Metz, France, August 17–19, 1992
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Shape Spectrum Based View Grouping and Matching of 3D Free-Form Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Feature-based similarity assessment of solid models
SMA '97 Proceedings of the fourth ACM symposium on Solid modeling and applications
ACM Transactions on Graphics (TOG)
Rotation invariant spherical harmonic representation of 3D shape descriptors
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
An approach to a feature-based comparison of solid models of machined parts
Artificial Intelligence for Engineering Design, Analysis and Manufacturing
Enumeration of cospectral graphs
European Journal of Combinatorics - Special issue on algebraic combinatorics: in memory of J.J. Seidel
Pattern Vectors from Algebraic Graph Theory
IEEE Transactions on Pattern Analysis and Machine Intelligence
Indexing Hierarchical Structures Using Graph Spectra
IEEE Transactions on Pattern Analysis and Machine Intelligence
Feature-based similarity search in 3D object databases
ACM Computing Surveys (CSUR)
Graph matching and clustering using spectral partitions
Pattern Recognition
A 3D simplification algorithm for distributed visualization
Computers in Industry
A spectral approach to shape-based retrieval of articulated 3D models
Computer-Aided Design
Laplace-Beltrami eigenfunctions for deformation invariant shape representation
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Calligraphic Interfaces: Classifier combination for sketch-based 3D part retrieval
Computers and Graphics
A Discrete Laplace–Beltrami Operator for Simplicial Surfaces
Discrete & Computational Geometry
Indexing through laplacian spectra
Computer Vision and Image Understanding
Introduction to Information Retrieval
Introduction to Information Retrieval
3D streaming based on multi-LOD models for networked collaborative design
Computers in Industry
Surface Mesh Smoothing, Regularization, and Feature Detection
SIAM Journal on Scientific Computing
A diffusion wavelet approach for 3-D model matching
Computer-Aided Design
Laplace-Beltrami spectra as 'Shape-DNA' of surfaces and solids
Computer-Aided Design
Three-dimensional shape searching: state-of-the-art review and future trends
Computer-Aided Design
On visual similarity based 2D drawing retrieval
Computer-Aided Design
A framework for fast 3D solid model exchange in integrated design environment
Computers in Industry
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This paper presents a novel approach to the 3D CAD model retrieval, whereby the 3D models are treated and matched as undirected graphs. While there is much success made in the matching of graphs based on their spectral decomposition, most of these approaches consider smooth surfaces and are not suitable for CAD models because of their complex topology and singular structure. In the proposed approach, the models are simplified based on the piecewise flat properties of the surfaces first, and a perturbed Laplacian spectrum approach is then applied to characterize the shape. These spectral values are used as samples for spectral distribution estimation. The perturbed spectral distributions of different models are then compared by their KL-divergence for model retrieval. The proposed approach is tested with models from known 3D CAD database for verification.