Three-dimensional object recognition
ACM Computing Surveys (CSUR) - Annals of discrete mathematics, 24
Automatic rotational symmetry determination for shape analysis
Pattern Recognition
On the Detection of the Axes of Symmetry of Symmetric and Almost Symmetric Planar Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
3D Symmetry Detection Using The Extended Gaussian Image
IEEE Transactions on Pattern Analysis and Machine Intelligence
Skeleton-based modeling operations on solids
SMA '97 Proceedings of the fourth ACM symposium on Solid modeling and applications
Symmetry Detection by Generalized Complex (GC) Moments: A Close-Form Solution
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fast reflectional symmetry detection using orientation histograms
Real-Time Imaging - Special issue on real-time defect detection
Shock Graphs and Shape Matching
International Journal of Computer Vision
Symmetry as a Continuous Feature
IEEE Transactions on Pattern Analysis and Machine Intelligence
Content-based 3D Neuroradiologic Image Retrieval: Preliminary Results
CAIVD '98 Proceedings of the 1998 International Workshop on Content-Based Access of Image and Video Databases (CAIVD '98)
CBAIVL '00 Proceedings of the IEEE Workshop on Content-based Access of Image and Video Libraries (CBAIVL'00)
Efficient Multiple Model Recognition in Cluttered 3-D Scenes
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Skeletal Methods of Shape Manipulation
SMI '99 Proceedings of the International Conference on Shape Modeling and Applications
Matching 3D Models with Shape Distributions
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Model-Based Object Recognition - A Survey of Recent Research
Model-Based Object Recognition - A Survey of Recent Research
A Metric for Distributions with Applications to Image Databases
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
IEEE Transactions on Computers
Rotation invariant spherical harmonic representation of 3D shape descriptors
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
A Quantified Study of Facial Asymmetry in 3D Faces
AMFG '03 Proceedings of the IEEE International Workshop on Analysis and Modeling of Faces and Gestures
A Computational Model for Periodic Pattern Perception Based on Frieze and Wallpaper Groups
IEEE Transactions on Pattern Analysis and Machine Intelligence
Near-regular texture analysis and manipulation
ACM SIGGRAPH 2004 Papers
Symmetry descriptors and 3D shape matching
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Partial and approximate symmetry detection for 3D geometry
ACM SIGGRAPH 2006 Papers
Characterization of small molecular islands of carbon chains self-assembled on silicon
SPPRA'06 Proceedings of the 24th IASTED international conference on Signal processing, pattern recognition, and applications
The S-kernel: A measure of symmetry of objects
Pattern Recognition
ACM SIGGRAPH 2007 papers
A new possibility for pattern recognition independently from geometrical measuresetrical measures
ICOSSSE'08 Proceedings of the 7th WSEAS international conference on System science and simulation in engineering
Partial intrinsic reflectional symmetry of 3D shapes
ACM SIGGRAPH Asia 2009 papers
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
ICRA'09 Proceedings of the 2009 IEEE international conference on Robotics and Automation
Symmetry parameters for 3D pattern classification
Pattern Recognition Letters
Shape Similarity for 3D Video Sequences of People
International Journal of Computer Vision
Subspace methods for retrieval of general 3D models
Computer Vision and Image Understanding
Group morphology with convolution algebras
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
3-D Symmetry Detection and Analysis Using the Pseudo-polar Fourier Transform
International Journal of Computer Vision
Object recognition through topo-geometric shape models using error-tolerant subgraph isomorphisms
IEEE Transactions on Image Processing
International Journal of Computer Vision
Affine invariant descriptors using principal components analysis
Pattern Recognition and Image Analysis
Skeleton path based approach for nonrigid 3D shape analysis and retrieval
IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
Non-commutative morphology: Shapes, filters, and convolutions
Computer Aided Geometric Design
Normalization and alignment of 3d objects based on bilateral symmetry planes
MMM'07 Proceedings of the 13th international conference on Multimedia Modeling - Volume Part I
Aligning 3d polygonal models with improved PCA
VSMM'06 Proceedings of the 12th international conference on Interactive Technologies and Sociotechnical Systems
S_Kernel: a new symmetry measure
PReMI'05 Proceedings of the First international conference on Pattern Recognition and Machine Intelligence
Shape matching based on fully automatic face detection on triangular meshes
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
The s-kernel and a symmetry measure based on correlation
SCIA'05 Proceedings of the 14th Scandinavian conference on Image Analysis
ICIAP'05 Proceedings of the 13th international conference on Image Analysis and Processing
Symmetry-guided texture synthesis and manipulation
ACM Transactions on Graphics (TOG)
3D orientation of archaeological fragments coming from a Gothic spire
VAST'04 Proceedings of the 5th International conference on Virtual Reality, Archaeology and Intelligent Cultural Heritage
Determination of symmetry parameters of objects in noisy images
Pattern Recognition and Image Analysis
SymPan: 3D model pose normalization via panoramic views and reflective symmetry
3DOR '13 Proceedings of the Sixth Eurographics Workshop on 3D Object Retrieval
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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 voxel 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. Using Fourier methods, our algorithm computes the symmetry descriptor in O(N4 logN) time for an N 脳 N 脳 N voxel grid, and computes a multiresolution approximation in O(N3 logN) time. In our initial experiments, we have found the symmetry descriptor to be useful for registration, matching, and classification of shapes.