Using bilateral symmetry to improve 3D reconstruction from image sequences
Computer Vision and Image Understanding
A Reflective Symmetry Descriptor
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
A Reflective Symmetry Descriptor for 3D Models
Algorithmica
Mesh editing with poisson-based gradient field manipulation
ACM SIGGRAPH 2004 Papers
Symmetry descriptors and 3D shape matching
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Fast exact and approximate geodesics on meshes
ACM SIGGRAPH 2005 Papers
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
Curvature Maps for Local Shape Comparison
SMI '05 Proceedings of the International Conference on Shape Modeling and Applications 2005
Salient geometric features for partial shape matching and similarity
ACM Transactions on Graphics (TOG)
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
Segmentation by Level Sets and Symmetry
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1
ACM SIGGRAPH 2007 papers
Folding meshes: hierarchical mesh segmentation based on planar symmetry
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Laplace-Beltrami eigenfunctions for deformation invariant shape representation
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Symmetry-enhanced remeshing of surfaces
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
IEEE Transactions on Computers
Consistent mesh partitioning and skeletonisation using the shape diameter function
The Visual Computer: International Journal of Computer Graphics
Discovering structural regularity in 3D geometry
ACM SIGGRAPH 2008 papers
Augmented planar reflective symmetry transform
The Visual Computer: International Journal of Computer Graphics
A benchmark for 3D mesh segmentation
ACM SIGGRAPH 2009 papers
Partial Similarity of Objects, or How to Compare a Centaur to a Horse
International Journal of Computer Vision
Global intrinsic symmetries of shapes
SGP '08 Proceedings of the Symposium on Geometry Processing
A generative theory of shape
Detecting symmetry and symmetric constellations of features
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part II
Calculus of Nonrigid Surfaces for Geometry and Texture Manipulation
IEEE Transactions on Visualization and Computer Graphics
Full and Partial Symmetries of Non-rigid Shapes
International Journal of Computer Vision
ACM SIGGRAPH 2010 papers
Symmetry factored embedding and distance
ACM SIGGRAPH 2010 papers
ACM SIGGRAPH 2010 Courses
Intrinsic regularity detection in 3D geometry
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
Short Communication to SMI 2011: Affine-invariant geodesic geometry of deformable 3D shapes
Computers and Graphics
Cultural Heritage: Symmetry and template guided completion of damaged skulls
Computers and Graphics
Learning to compute the plane of symmetry for human faces
Proceedings of the 2nd ACM Conference on Bioinformatics, Computational Biology and Biomedicine
GMP'10 Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing
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
Schelling points on 3D surface meshes
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Finding Surface Correspondences Using Symmetry Axis Curves
Computer Graphics Forum
Multi-scale partial intrinsic symmetry detection
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Intrinsic local symmetries: a computational framework
EG 3DOR'12 Proceedings of the 5th Eurographics conference on 3D Object Retrieval
Skeleton-based intrinsic symmetry detection on point clouds
Graphical Models
Context-based coherent surface completion
ACM Transactions on Graphics (TOG)
Structure-aware shape processing
SIGGRAPH Asia 2013 Courses
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While many 3D objects exhibit various forms of global symmetries, prominent intrinsic symmetries which exist only on parts of an object are also well recognized. Such partial symmetries are often seen as more natural than a global one, even when the symmetric parts are under complex pose. We introduce an algorithm to extract partial intrinsic reflectional symmetries (PIRS) of a 3D shape. Given a closed 2-manifold mesh, we develop a voting scheme to obtain an intrinsic reflectional symmetry axis (IRSA) transform, which is a scalar field over the mesh that accentuates prominent IRSAs of the shape. We then extract a set of explicit IRSA curves on the shape based on a refined measure of local reflectional symmetry support along a curve. The iterative refinement procedure combines IRSA-induced region growing and region-constrained symmetry support refinement to improve accuracy and address potential issues arising from rotational symmetries in the shape. We show how the extracted IRSA curves can be incorporated into a conventional mesh segmentation scheme so that the implied symmetry cues can be utilized to obtain more meaningful results. We also demonstrate the use of IRSA curves for symmetry-driven part repair.