Shape distance for rotation estimation and rotational symmetry detection in gray-level images

In this work, the analytical Fourier-Mellin transform (AFMT) is used to derive two algorithms for, first, the estimation of the orientation parameter between two objects with the same shape, and second, the detection of all rotational symmetric axes in gray-level images. These algorithms are based on the computation of the Hausdorff distance between shapes when expressed in the Fourier-Mellin domain. Experiments are conducted on gray-level images, confirming the robustness of the algorithms and the accuracy of the estimated parameters.

[1]  Faouzi Ghorbel,et al.  Robust and Efficient Fourier-Mellin Transform Approximations for Gray-Level Image Reconstruction and Complete Invariant Description , 2001, Comput. Vis. Image Underst..

[2]  Dinggang Shen,et al.  Symmetry Detection by Generalized Complex (GC) Moments: A Close-Form Solution , 1999, IEEE Trans. Pattern Anal. Mach. Intell..

[3]  H. Arsenault,et al.  Experiments on pattern recognition using invariant Fourier-Mellin descriptors. , 1986, Journal of the Optical Society of America. A, Optics and image science.

[4]  Shimon Ullman,et al.  Recognizing solid objects by alignment with an image , 1990, International Journal of Computer Vision.

[5]  Faouzi Ghorbel Towards a unitary formulation for invariant image description: application to image coding , 1998, Ann. des Télécommunications.

[6]  J. Dieudonné,et al.  Éléments d'analyse , 1972 .

[7]  F. Ghorbel,et al.  An optimal matched filter for target detection in images distorted by noise , 1998, IGARSS '98. Sensing and Managing the Environment. 1998 IEEE International Geoscience and Remote Sensing. Symposium Proceedings. (Cat. No.98CH36174).

[8]  Faouzi Ghorbel,et al.  Shape distances for contour tracking and motion estimation , 1999, Pattern Recognit..

[9]  Faouzi Ghorbel,et al.  A complete invariant description for gray-level images by the harmonic analysis approach , 1994, Pattern Recognit. Lett..

[10]  W. Rudin,et al.  Fourier Analysis on Groups. , 1965 .

[11]  Dinggang Shen,et al.  An energy of asymmetry for accurate detection of global reflection axes , 2001, Image Vis. Comput..