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PAMI
2010

Skewed Rotation Symmetry Group Detection

8 years 9 months ago
Skewed Rotation Symmetry Group Detection
—We present a novel and effective algorithm for affinely skewed rotation symmetry group detection from real-world images. We define a complete skewed rotation symmetry detection problem as discovering five independent properties of a skewed rotation symmetry group: (1) the center of rotation; (2) the affine deformation; (3) the type of the symmetry group; (4) the cardinality of the symmetry group; and (5) the supporting region of the symmetry group in the image. We propose a frieze-expansion (FE) method that transforms rotation symmetry group detection into a simple, one dimensional translation symmetry detection problem. We define and construct a pair of rotational symmetry saliency maps, complemented by a local feature method. Frequency analysis, using Discrete Fourier Transform (DFT), is applied to the Frieze-expansion patterns (FEPs) to uncover the types (cyclic, dihedral and O(2)), the cardinalities and the corresponding supporting regions, concentric or otherwise, of multi...
Seungkyu Lee, Yanxi Liu
Added 29 Jan 2011
Updated 29 Jan 2011
Type Journal
Year 2010
Where PAMI
Authors Seungkyu Lee, Yanxi Liu
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