Optimal algorithms for finding the symmetries of a planar point set
Information Processing Letters
On the Detection of the Axes of Symmetry of Symmetric and Almost Symmetric Planar Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Symmetry detection using gradient information
Pattern Recognition Letters
3D Symmetry Detection Using The Extended Gaussian Image
IEEE Transactions on Pattern Analysis and Machine Intelligence
ACM Transactions on Graphics (TOG)
Symmetry as a Continuous Feature
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Reflective Symmetry Descriptor
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
3D Shape Histograms for Similarity Search and Classification in Spatial Databases
SSD '99 Proceedings of the 6th International Symposium on Advances in Spatial Databases
Rotation invariant spherical harmonic representation of 3D shape descriptors
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
3D Object Recognition: Symmetry and Virtual Views
3D Object Recognition: Symmetry and Virtual Views
Model-Based Object Recognition - A Survey of Recent Research
Model-Based Object Recognition - A Survey of Recent Research
A Reflective Symmetry Descriptor for 3D Models
Algorithmica
Rotation Recovery from Spherical Images without Correspondences
IEEE Transactions on Pattern Analysis and Machine Intelligence
Accurate detection of symmetries in 3D shapes
ACM Transactions on Graphics (TOG)
A planar-reflective symmetry transform for 3D shapes
ACM SIGGRAPH 2006 Papers
Partial and approximate symmetry detection for 3D geometry
ACM SIGGRAPH 2006 Papers
An Approximate and Efficient Method for Optimal Rotation Alignment of 3D Models
IEEE Transactions on Pattern Analysis and Machine Intelligence
ACM SIGGRAPH 2007 papers
Atomic volumes for mesh completion
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Folding meshes: hierarchical mesh segmentation based on planar symmetry
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Symmetry-enhanced remeshing of surfaces
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Stratified helix information of medial-axis-points matching for 3D model retrieval
Proceedings of the international workshop on Workshop on multimedia information retrieval
A survey of content based 3D shape retrieval methods
Multimedia Tools and Applications
Reflective Symmetry Detection Based on Parallel Projection
ICANNGA '07 Proceedings of the 8th international conference on Adaptive and Natural Computing Algorithms, Part II
Toward an efficient triangle-based spherical harmonics representation of 3D objects
Computer Aided Geometric Design
Symmetric reconstruction algorithms for incomplete 3D models
International Journal of Computer Applications in Technology
Graphical Models
Curve skeleton extraction from incomplete point cloud
ACM SIGGRAPH 2009 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
Global intrinsic symmetries of shapes
SGP '08 Proceedings of the Symposium on Geometry Processing
Multi-objective shape segmentation and labeling
SGP '09 Proceedings of the Symposium on Geometry Processing
Symmetry parameters for 3D pattern classification
Pattern Recognition Letters
Symmetry factored embedding and distance
ACM SIGGRAPH 2010 papers
3D object search through semantic component
Proceedings of the international conference on Multimedia
Volumetric heat kernel signatures
Proceedings of the ACM workshop on 3D object retrieval
Shape google: Geometric words and expressions for invariant shape retrieval
ACM Transactions on Graphics (TOG)
Intrinsic regularity detection in 3D geometry
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
International Journal of Computer Vision
3D model retrieval using accurate pose estimation and view-based similarity
Proceedings of the 1st ACM International Conference on Multimedia Retrieval
Cultural Heritage: Symmetry and template guided completion of damaged skulls
Computers and Graphics
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
Partial retrieval of CAD models based on the gradient flows in Lie group
Pattern Recognition
Symmetry-guided texture synthesis and manipulation
ACM Transactions on Graphics (TOG)
Transformed polynomials for global registration of point clouds
Proceedings of the 27th Spring Conference on Computer Graphics
Layered analysis of irregular facades via symmetry maximization
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Viewpoint information-theoretic measures for 3D shape similarity
Proceedings of the 12th ACM SIGGRAPH International Conference on Virtual-Reality Continuum and Its Applications in Industry
Dynamic maps for exploring and browsing shapes
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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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In this paper, we present the Symmetry Descriptors of a 3D model. This is a collection of spherical functions that describes the measure of a model's rotational and reflective symmetry with respect to every axis passing through the center of mass. We show that Symmetry Descriptors can be computed efficiently using fast signal processing techniques, and demonstrate the empirical value of Symmetry Descriptors by showing that they improve matching performance in a variety of shape retrieval experiments.