Partial Intrinsic Reflectional Symmetry of 3D Shapes
Kai Xu, Hao Zhang, Andrea Tagliasacchi, Ligang Liu, Guo Li, Min Meng, Yueshan Xiong
In ACM Transactions on Graphics, 28(5), December 2009.
Abstract: 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.
Article URL: http://doi.acm.org/10.1145/1618452.1618484
BibTeX format:
@article{Xu:2009:PIR,
  author = {Kai Xu and Hao Zhang and Andrea Tagliasacchi and Ligang Liu and Guo Li and Min Meng and Yueshan Xiong},
  title = {Partial Intrinsic Reflectional Symmetry of 3D Shapes},
  journal = {ACM Transactions on Graphics},
  volume = {28},
  number = {5},
  pages = {138:1--138:10},
  month = dec,
  year = {2009},
}
Search for more articles by Kai Xu.
Search for more articles by Hao Zhang.
Search for more articles by Andrea Tagliasacchi.
Search for more articles by Ligang Liu.
Search for more articles by Guo Li.
Search for more articles by Min Meng.
Search for more articles by Yueshan Xiong.

Return to the search page.


graphbib: Powered by "bibsql" and "SQLite3."