Invariant Object Recognition Using Radon and Fourier Transforms
In this paper, an invariant algorithm for object recognition is proposed by using the Radon and Fourier transforms. It has been shown that this algorithm is invariant to the translation and rotation of pattern images. The scaling invariance can be achieved by the standard normalization techniques. Our algorithm works even when the center of the pattern object is not aligned well. This advantage is because the Fourier spectra are invariant to spatial shift in the radial direction whereas existing methods assume the centroids are aligned exactly. Experimental results show that the proposed method is better than the Zernike’s moments, the dual-tree complex wavelet (DTCWT) moments, and the auto-correlation wavelet moments for one aircraft database and one shape database.
KeywordsRadon transform Fourier transform Zernike’s moments object recognition pattern recognition Gaussian white noise
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- 6.Hassanieh, H., Indyk, P., Katabi, D., Price, E.: Simple and Practical Algorithm for Sparse Fourier Transform. In: SODA (January 2012)Google Scholar
- 7.Hassanieh, H., Indyk, P., Katabi, D., Price, E.: Nearly Optimal Sparse Fourier Transform. In: STOC (May 2012)Google Scholar
- 9.Sebastian, T.B., Klein, P.N., Kimia, B.B.: Recognition of Shapes by Editing Shock Graphs. In: International Conference on Computer Vision, ICCV (2001)Google Scholar