A simple method for computing general position in displaying three-dimensional objects
Computer Vision, Graphics, and Image Processing
A Method for Registration of 3-D Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
Context-free attentional operators: the generalized symmetry transform
International Journal of Computer Vision - Special issue on qualitative vision
Strategies for polyhedral surface decomposition: an experimental study
Proceedings of the eleventh annual symposium on Computational geometry
3D Symmetry Detection Using The Extended Gaussian Image
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pattern recognition in images by symmetries and coordinate transformations
Computer Vision and Image Understanding
Local operators to detect regions of interest
Pattern Recognition Letters - special issue on pattern recognition in practice V
Decomposing polygon meshes for interactive applications
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
Hierarchical face clustering on polygonal surfaces
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
ACM Transactions on Graphics (TOG)
Partitioning 3D Surface Meshes Using Watershed Segmentation
IEEE Transactions on Visualization and Computer Graphics
Symmetry Identification of a 3-D Object Represented by Octree
IEEE Transactions on Pattern Analysis and Machine Intelligence
Symmetry as a Continuous Feature
IEEE Transactions on Pattern Analysis and Machine Intelligence
Viewpoint Selection using Viewpoint Entropy
VMV '01 Proceedings of the Vision Modeling and Visualization Conference 2001
Pattern Orientation and Texture Symmetry
CAIP '95 Proceedings of the 6th International Conference on Computer Analysis of Images and Patterns
A Fast Radial Symmetry Transform for Detecting Points of Interest
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
Annular symmetry operators: a method for locating and describing objects
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Automatic View Selection in Multi-View Object Recognition
ICPR '00 Proceedings of the International Conference on Pattern Recognition - Volume 1
Hierarchical mesh decomposition using fuzzy clustering and cuts
ACM SIGGRAPH 2003 Papers
Rotation invariant spherical harmonic representation of 3D shape descriptors
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Finding Symmetry in Intensity Images TITLE2:
Finding Symmetry in Intensity Images TITLE2:
Pattern Classification (2nd Edition)
Pattern Classification (2nd Edition)
A Reflective Symmetry Descriptor for 3D Models
Algorithmica
SMI '04 Proceedings of the Shape Modeling International 2004
Symmetry descriptors and 3D shape matching
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
ACM SIGGRAPH 2005 Papers
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
Linear model hashing and batch RANSAC for rapid and accurate object recognition
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Finding optimal views for 3D face shape modeling
FGR' 04 Proceedings of the Sixth IEEE international conference on Automatic face and gesture recognition
Detecting approximate incomplete symmetries in discrete point sets
Proceedings of the 2007 ACM symposium on Solid and physical modeling
ACM SIGGRAPH 2007 papers
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
Detecting approximate symmetries of discrete point subsets
Computer-Aided Design
Upright orientation of man-made objects
ACM SIGGRAPH 2008 papers
Discovering structural regularity in 3D geometry
ACM SIGGRAPH 2008 papers
A photometric approach for estimating normals and tangents
ACM SIGGRAPH Asia 2008 papers
Consensus Graphs for Symmetry Plane Estimation
SSPR & SPR '08 Proceedings of the 2008 Joint IAPR International Workshop on Structural, Syntactic, and Statistical Pattern Recognition
Symmetric reconstruction algorithms for incomplete 3D models
International Journal of Computer Applications in Technology
Graphical Models
Contour Grouping Based on Contour-Skeleton Duality
International Journal of Computer Vision
Robust principal axes determination for point-based shapes using least median of squares
Computer-Aided Design
Curve skeleton extraction from incomplete point cloud
ACM SIGGRAPH 2009 papers
Digital anastylosis of the Octagon in Ephesos
Journal on Computing and Cultural Heritage (JOCCH)
3D Mesh decomposition using Reeb graphs
Image and Vision Computing
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
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
ICRA'09 Proceedings of the 2009 IEEE international conference on Robotics and Automation
Global intrinsic symmetries of shapes
SGP '08 Proceedings of the Symposium on Geometry Processing
Head-mounted 3D multi sensor system for modeling in daily-life environment
IROS'09 Proceedings of the 2009 IEEE/RSJ international conference on Intelligent robots and systems
Multi-objective shape segmentation and labeling
SGP '09 Proceedings of the Symposium on Geometry Processing
Segmenting periodic reliefs on triangle meshes
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
3D Part identification based on local shape descriptors
PerMIS '08 Proceedings of the 8th Workshop on Performance Metrics for Intelligent Systems
Paneling architectural freeform surfaces
ACM SIGGRAPH 2010 papers
Discrete scale axis representations for 3D geometry
ACM SIGGRAPH 2010 papers
Symmetry factored embedding and distance
ACM SIGGRAPH 2010 papers
A mesh meaningful segmentation algorithm using Skeleton and minima-rule
ISVC'07 Proceedings of the 3rd international conference on Advances in visual computing - Volume Part II
Meaningful mesh segmentation guided by the 3D short-cut rule
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
NPAR '10 Proceedings of the 8th International Symposium on Non-Photorealistic Animation and Rendering
International Journal of Computer Vision
A 3D shape classifier with neural network supervision
International Journal of Computer Applications in Technology
Group morphology with convolution algebras
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Data-driven suggestions for creativity support in 3D modeling
ACM SIGGRAPH Asia 2010 papers
Style-content separation by anisotropic part scales
ACM SIGGRAPH Asia 2010 papers
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
Single viewpoint model completion of symmetric objects for digital inspection
Computer Vision and Image Understanding
Probabilistic reasoning for assembly-based 3D modeling
ACM SIGGRAPH 2011 papers
3D model retrieval using accurate pose estimation and view-based similarity
Proceedings of the 1st ACM International Conference on Multimedia Retrieval
SMI 2011: Full Paper: On visual complexity of 3D shapes
Computers and Graphics
Perceptual models of viewpoint preference
ACM Transactions on Graphics (TOG)
Pattern-aware shape deformation using sliding dockers
Proceedings of the 2011 SIGGRAPH Asia Conference
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
Non-commutative morphology: Shapes, filters, and convolutions
Computer Aided Geometric Design
Lightweight Web3D modeling by finding and reusing repeated components
Proceedings of the 10th International Conference on Virtual Reality Continuum and Its Applications in Industry
Automatic upright orientation and good view recognition for 3D man-made models
Pattern Recognition
Symmetry-guided texture synthesis and manipulation
ACM Transactions on Graphics (TOG)
GMP'10 Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Unsupervised upright orientation of man-made models
Graphical Models
Multitouch Gestures for Constrained Transformation of 3D Objects
Computer Graphics Forum
Finding Surface Correspondences Using Symmetry Axis Curves
Computer Graphics Forum
Microtiles: Extracting Building Blocks from Correspondences
Computer Graphics Forum
Multi-scale partial intrinsic symmetry detection
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
A graph-based technique for semi-supervised segmentation of 3D surfaces
Pattern Recognition Letters
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
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
Structure-aware shape processing
SIGGRAPH Asia 2013 Courses
A Fourier-theoretic approach for inferring symmetries
Computational Geometry: Theory and Applications
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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Symmetry is an important cue for many applications, including object alignment, recognition, and segmentation. In this paper, we describe a planar reflective symmetry transform (PRST) that captures a continuous measure of the reflectional symmetry of a shape with respect to all possible planes. This transform combines and extends previous work that has focused on global symmetries with respect to the center of mass in 3D meshes and local symmetries with respect to points in 2D images. We provide an efficient Monte Carlo sampling algorithm for computing the transform for surfaces and show that it is stable under common transformations. We also provide an iterative refinement algorithm to find local maxima of the transform precisely. We use the transform to define two new geometric properties, center of symmetry and principal symmetry axes, and show that they are useful for aligning objects in a canonical coordinate system. Finally, we demonstrate that the symmetry transform is useful for several applications in computer graphics, including shape matching, segmentation of meshes into parts, and automatic viewpoint selection.