Early experiences with a 3D model search engine
Web3D '03 Proceedings of the eighth international conference on 3D Web technology
3D zernike descriptors for content based shape retrieval
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Symmetry descriptors and 3D shape matching
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Symbolic Signatures for Deformable Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Feature-based similarity search in 3D object databases
ACM Computing Surveys (CSUR)
A planar-reflective symmetry transform for 3D shapes
ACM SIGGRAPH 2006 Papers
3D model retrieval using principal plane analysis and dynamic programming
Pattern Recognition
Deformable Model Retrieval Based on Topological and Geometric Signatures
IEEE Transactions on Visualization and Computer Graphics
Folding meshes: hierarchical mesh segmentation based on planar symmetry
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Probabilistic fingerprints for shapes
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Retrieving articulated 3-D models using medial surfaces
Machine Vision and Applications
A survey of content based 3D shape retrieval methods
Multimedia Tools and Applications
A powerful relevance feedback mechanism for content-based 3D model retrieval
Multimedia Tools and Applications
A rectilinearity measurement for 3d meshes
MIR '08 Proceedings of the 1st ACM international conference on Multimedia information retrieval
Symmetric reconstruction algorithms for incomplete 3D models
International Journal of Computer Applications in Technology
Symmetry-Aware Mesh Processing
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Partial intrinsic reflectional symmetry of 3D shapes
ACM SIGGRAPH Asia 2009 papers
Image analysis of arabidopsis trichome patterning in 4D confocal datasets
ISBI'09 Proceedings of the Sixth IEEE international conference on Symposium on Biomedical Imaging: From Nano to Macro
Learning 3-D object orientation from images
ICRA'09 Proceedings of the 2009 IEEE international conference on Robotics and Automation
Automatic combination of feature descriptors for effective 3D shape retrieval
MIRAGE'07 Proceedings of the 3rd international conference on Computer vision/computer graphics collaboration techniques
Full and Partial Symmetries of Non-rigid Shapes
International Journal of Computer Vision
Symmetry factored embedding and distance
ACM SIGGRAPH 2010 papers
International Journal of Computer Vision
Subspace methods for retrieval of general 3D models
Computer Vision and Image Understanding
Sketch-based 3D model retrieval using diffusion tensor fields of suggestive contours
Proceedings of the international conference on Multimedia
Artwork 3D model database indexing and classification
Pattern Recognition
Best Nonspherical Symmetric Low Rank Approximation
SIAM Journal on Matrix Analysis and Applications
Design reusability assessment for effective CAD model retrieval and reuse
International Journal of Computer Applications in Technology
Affine invariant descriptors using principal components analysis
Pattern Recognition and Image Analysis
SCIA'11 Proceedings of the 17th Scandinavian conference on Image analysis
Cultural Heritage: Symmetry and template guided completion of damaged skulls
Computers and Graphics
A new algorithm for 3D shape recognition by means of the 2D point distance histogram
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part II
3D model retrieval using the histogram of orientation of suggestive contours
ISVC'11 Proceedings of the 7th international conference on Advances in visual computing - Volume Part II
Aligning 3d polygonal models with improved PCA
VSMM'06 Proceedings of the 12th international conference on Interactive Technologies and Sociotechnical Systems
Partial retrieval of CAD models based on the gradient flows in Lie group
Pattern Recognition
A new MPEG-7 standard: perceptual 3-D shape descriptor
PCM'04 Proceedings of the 5th Pacific Rim Conference on Advances in Multimedia Information Processing - Volume Part II
Retrieving articulated 3-d models using medial surfaces and their graph spectra
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Symmetry-guided texture synthesis and manipulation
ACM Transactions on Graphics (TOG)
Shape palindromes: analysis of intrinsic symmetries in 2d articulated shapes
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Tensor based sparse decomposition of 3D shape for visual detection of mirror symmetry
Computer Methods and Programs in Biomedicine
EG VCBM'10 Proceedings of the 2nd Eurographics conference on Visual Computing for Biology and Medicine
Parallel reflective symmetry transformation for volume data
EG PGV'07 Proceedings of the 7th Eurographics conference on Parallel Graphics and Visualization
A graph-based approach to symmetry detection
SPBG'08 Proceedings of the Fifth Eurographics / IEEE VGTC conference on Point-Based Graphics
A view-based 3D object shape representation technique
ICIAR'07 Proceedings of the 4th international conference on Image Analysis and Recognition
Scalar field visualization via extraction of symmetric structures
The Visual Computer: International Journal of Computer Graphics
Genetic Programming and Evolvable Machines
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Computing reflective symmetries of 2D and 3D shapes is a classical problem in computer vision and computational geometry. Most prior work has focused on finding the main axes of symmetry, or determining that none exists. In this paper we introduce a new reflective symmetry descriptor that represents a measure of reflective symmetry for an arbitrary 3D model for all planes through the model’s center of mass (even if they are not planes of symmetry). The main benefits of this new shape descriptor are that it is defined over a canonical parameterization (the sphere) and describes global properties of a 3D shape. We show how to obtain a voxel grid from arbitrary 3D shapes and, using Fourier methods, we present an algorithm computes the symmetry descriptor in O(N4 log N) time for an N × N × N voxel grid and computes a multiresolution approximation in O(N3 log N) time. In our initial experiments, we have found that the symmetry descriptor is insensitive to noise and stable under point sampling. We have also found that it performs well in shape matching tasks, providing a measure of shape similarity that is orthogonal to existing methods.