Fourier-based Rotation Invariant image features

Fourier Coefficients have long been used to achieve invariance to signal transformations. For the purposes of image processing, the magnitude of the Fourier transform has been used in conjunction with other transforms to achieve invariance to rotation [9, 3]. In this paper we propose a Rotation Invariant Descriptor for matching images based on features derived from the Discrete Fourier Transform (DFT). The features combine both the phase and the magnitude information to achieve invariance. Experiments are conducted to show the robustness of these features under changes of scale and compression of images.

[1]  B. V. K. Vijaya Kumar,et al.  Correlation Pattern Recognition , 2002 .

[2]  Gustavo Carneiro,et al.  Multi-scale phase-based local features , 2003, 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003. Proceedings..

[3]  George Wolberg,et al.  Image registration using log-polar mappings for recovery of large-scale similarity and projective transformations , 2005, IEEE Transactions on Image Processing.

[4]  G LoweDavid,et al.  Distinctive Image Features from Scale-Invariant Keypoints , 2004 .

[5]  David A. Forsyth,et al.  Invariant Descriptors for 3D Object Recognition and Pose , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[6]  B. N. Chatterji,et al.  An FFT-based technique for translation, rotation, and scale-invariant image registration , 1996, IEEE Trans. Image Process..

[7]  D. Casasent,et al.  Position, rotation, and scale invariant optical correlation. , 1976, Applied optics.

[8]  Cordelia Schmid,et al.  Scale & Affine Invariant Interest Point Detectors , 2004, International Journal of Computer Vision.

[9]  Carlo Braccini,et al.  Form-invariant linear filtering: Theory and applications , 1986, IEEE Trans. Acoust. Speech Signal Process..

[10]  Faouzi Ghorbel,et al.  A complete and stable set of affine-invariant Fourier descriptors , 2003, 12th International Conference on Image Analysis and Processing, 2003.Proceedings..

[11]  Thomas Serre,et al.  A Theory of Object Recognition: Computations and Circuits in the Feedforward Path of the Ventral Stream in Primate Visual Cortex , 2005 .