Congruence, similarity and symmetries of geometric objects
Discrete & Computational Geometry - ACM Symposium on Computational Geometry, Waterloo
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
Shape Reconstruction of 3D Bilaterally Symmetric Surfaces
International Journal of Computer Vision - Special issue on computer vision research at the Technion
Symmetry as a Continuous Feature
IEEE Transactions on Pattern Analysis and Machine Intelligence
Detecting Symmetry in Grey Level Images: The Global Optimization Approach
ICPR '96 Proceedings of the 1996 International Conference on Pattern Recognition (ICPR '96) Volume I - Volume 7270
A Computational Model for Periodic Pattern Perception Based on Frieze and Wallpaper Groups
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Reflective Symmetry Descriptor for 3D Models
Algorithmica
Symmetry Detection Using Complex Moments
ICPR '98 Proceedings of the 14th International Conference on Pattern Recognition-Volume 2 - Volume 2
A Theoretical and Computational Framework for Isometry Invariant Recognition of Point Cloud Data
Foundations of Computational Mathematics
Geodesic Remeshing Using Front Propagation
International Journal of Computer Vision
Laplace-Beltrami Eigenfunctions Towards an Algorithm That "Understands" Geometry
SMI '06 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006
Partial and approximate symmetry detection for 3D geometry
ACM SIGGRAPH 2006 Papers
Detecting Rotational Symmetry Under Affine Projection
ICPR '06 Proceedings of the 18th International Conference on Pattern Recognition - Volume 02
Shape Classification Using the Inner-Distance
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pose-Oblivious Shape Signature
IEEE Transactions on Visualization and Computer Graphics
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Laplace-Beltrami eigenfunctions for deformation invariant shape representation
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
IEEE Transactions on Computers
Analysis of Two-Dimensional Non-Rigid Shapes
International Journal of Computer Vision
Numerical Geometry of Non-Rigid Shapes
Numerical Geometry of Non-Rigid Shapes
Regularized Partial Matching of Rigid Shapes
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part II
Partial Similarity of Objects, or How to Compare a Centaur to a Horse
International Journal of Computer Vision
On Symmetry, Perspectivity, and Level-Set-Based Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Partial intrinsic reflectional symmetry of 3D shapes
ACM SIGGRAPH Asia 2009 papers
Laplace-Beltrami spectra as 'Shape-DNA' of surfaces and solids
Computer-Aided Design
Global intrinsic symmetries of shapes
SGP '08 Proceedings of the Symposium on Geometry Processing
International Journal of Computer Vision
Detecting symmetry and symmetric constellations of features
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part II
On bending invariant signatures for surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
3-D Symmetry Detection and Analysis Using the Pseudo-polar Fourier Transform
International Journal of Computer Vision
Intrinsic regularity detection in 3D geometry
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
Hierarchical matching of non-rigid shapes
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
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
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
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
Robust shape normalization of 3D articulated volumetric models
Computer-Aided Design
Transformed polynomials for global registration of point clouds
Proceedings of the 27th Spring Conference on Computer Graphics
Skeleton-based intrinsic symmetry detection on point clouds
Graphical Models
Structure-aware shape processing
SIGGRAPH Asia 2013 Courses
Shape matching via quotient spaces
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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Symmetry and self-similarity are the cornerstone of Nature, exhibiting themselves through the shapes of natural creations and ubiquitous laws of physics. Since many natural objects are symmetric, the absence of symmetry can often be an indication of some anomaly or abnormal behavior. Therefore, detection of asymmetries is important in numerous practical applications, including crystallography, medical imaging, and face recognition, to mention a few. Conversely, the assumption of underlying shape symmetry can facilitate solutions to many problems in shape reconstruction and analysis. Traditionally, symmetries are described as extrinsic geometric properties of the shape. While being adequate for rigid shapes, such a description is inappropriate for non-rigid ones: extrinsic symmetry can be broken as a result of shape deformations, while its intrinsic symmetry is preserved. In this paper, we present a generalization of symmetries for non-rigid shapes and a numerical framework for their analysis, addressing the problems of full and partial exact and approximate symmetry detection and classification.