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2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'01) - Volume 1
Skewed Symmetry Groups
Kauai, Hawaii
December 08-December 14
ISBN: 0-7695-1272-0
| ASCII Text | x | ||
| Yanxi Liu, Robert T. Collins, "Skewed Symmetry Groups," 2012 IEEE Conference on Computer Vision and Pattern Recognition, vol. 1, pp. 872, 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'01) - Volume 1, 2001. | |||
| BibTex | x | ||
| @article{ 10.1109/CVPR.2001.990576, author = {Yanxi Liu and Robert T. Collins}, title = {Skewed Symmetry Groups}, journal ={2012 IEEE Conference on Computer Vision and Pattern Recognition}, volume = {1}, year = {2001}, issn = {1063-6919}, pages = {872}, doi = {http://doi.ieeecomputersociety.org/10.1109/CVPR.2001.990576}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - CONF JO - 2012 IEEE Conference on Computer Vision and Pattern Recognition TI - Skewed Symmetry Groups SN - 1063-6919 SP EP A1 - Yanxi Liu, A1 - Robert T. Collins, PY - 2001 KW - null VL - 1 JA - 2012 IEEE Conference on Computer Vision and Pattern Recognition ER - | |||
We introduc e the term skewed symmetry groups and provide a complete theoretical treatment for 2D wall- paper groups under affine transformations. For the first time, a given periodic pattern can be classified not simply by its Euclidean symmetry group but by its highest "potential" symmetry group under affine deformation. A concise wallpaper group migration map is constructed that separates the 17 affinely deformed wallpaper groups into small, distinct orbits. The practical value of this result includes a novel indexing and retrieval scheme for regular patterns, and a maximal- symmetry-based method for estimating shape and orientation from texture under unknown views.
Citation:
Yanxi Liu, Robert T. Collins, "Skewed Symmetry Groups," cvpr, vol. 1, pp.872, 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'01) - Volume 1, 2001
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