05111847

j

05111847 Arbter, K. Snyder, W.E. Burkhardt, H. Hirzinger, G. Application of Affine-Invariant Fourier Descriptors to Recognition of 3-D Objects. IEEE Transactions on Pattern Analysis and Machine Intelligence 12, No.07, 640-647 (1990). 1990 Institute of Electrical and Electronics Engineers (IEEE), Washington, DC EN 3D object recognition invariance affine-invariant Fourier descriptors boundary description affine transformation silhouettes Fourier analysis pattern recognition picture processing

doi:10.1109/34.56206

Summary: The method of Fourier descriptors is extended to produce a set of normalized coefficients which are invariant under any affine transformation (translation, rotation, scaling, and shearing). The method is based on a parameterized boundary description which is transformed to the Fourier domain and normalized there to eliminate dependencies on the affine transformation and on the starting point. Invariance to affine transforms allows considerable robustness when applied to images of objects which rotate in all three dimensions, as is demonstrated by processing silhouettes of aircraft maneuvering in three-space.