Year 2014,
, 49 - 53, 21.10.2014
Abstract
In this work, we consider the symmetrization problem, that is the problem to obtain more accurate information about location
of points based on a priori knowledge of their symmetries. Methods to solve the symmetrization problem with respect to vertical and inclined axes of reflectional symmetry are considered jointly with the more general symmetrization with respect to an indefinite reflection axis. Then the case of rotational symmetry is considered. The methods produce the minimal deformation that enhances approximate symmetries present in a given arrangement of points.
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Year 2014,
, 49 - 53, 21.10.2014
Abstract
References
- J. Podolak, P. Shilane, J. Giesen, M. Gross, and L. Guibas,
- “Example-based 3D scan completion,” in Proc. Symposium
- on Geometry Processing, pp 23-32, 2005.
- A. Martinet, C. Soler, N. Holzschuch, and F. Sillion,
- “Accurate detection of symmetries in 3D shapes,” ACM
- Trans. Graph, vol. 25, # 2, pp. 439-464, 2006.
- N. J. Mitra, L. J. Guibas, and M. Pauly, “Partial and
- approximate symmetry detection for 3D geometry,” ACM
- Trans. Graph, vol. 25, # 3, pp. 560-568, 2006.
- S. Thrun, and B. Wegbreit, “Shape from symmetry,” in
- Proc. Int. Conference on Computer Vision (ICCV), vol. 2,
- pp. 1824-1831, 2005.
- P. Simari, E. Kalogerakis, and K. Singh, “Folding meshes:
- Hierarchical mesh segmentation based on planar
- symmetry,” in Proc. Symposium on Geometry Processing,
- -
- A. N. Karkishchenko, and I. A. Grechukhin, “Statistical
- face recognition based on the geometry of feature points,”
- (in Russian), in Proc. Large-Scale Systems Control, vol. 38,
- pp. 78-90, Moscow, 2012.
- A. N. Karkishchenko, and I. A. Grechukhin, “Localization
- of feature points based on the natural symmetries of
- images,” (in Russian), in Proc. of the Conference
- “Intellectual Control Systems for Rail Transport,” pp. 262-
- , Moscow, 2012.
- G. Strang, Linear Algebra and Its Applications. Thomson
- Brooks/Cole, 2006
There are 27 citations in total.
Details
| Primary Language | English |
|---|---|
| Journal Section | Research Article |
| Authors | |
| Publication Date | October 21, 2014 |
| Published in Issue | Year 2014 |
