Discovering structural regularity in 3D geometry
ACM SIGGRAPH 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
Graphical Models
Global intrinsic symmetries of shapes
SGP '08 Proceedings of the Symposium on Geometry Processing
International Journal of Computer Vision
Automatic upright orientation and good view recognition for 3D man-made models
Pattern Recognition
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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"Perfect symmetries are all alike; every imperfect symmetry is imperfect in its own way." - adapted from Leo Tolstoy's "Anna Karenina". Symmetry has been playing an increasing role in 3D shape processing. Recently introduced Planar Reflective Symmetry Transform(PRST) has been found useful for canonical coordinate frame determination, shape matching, retrieval, and segmentation. Guided by the intuition that every imperfect symmetry is imperfect in its own way, we investigate the possibility of incorporating more information into symmetry transforms like PRST. As a step in this direction, the concept of Augmented Symmetry Transform is introduced; we obtain a family of symmetry transforms indexed by a parameter. While the original PRST measures how much the symmetry is broken, the Augmented PRST also gives some information about how it is broken. Several approaches to calculating the augmented transform are described. We demonstrate that the augmented transform is useful for shape retrieval.