摘要: The Rapid Transform (RT) is a fast transform which useful for shift invariant signal classification and recognition. We modify the RT in such manner that during forward transformation code matrix generated records “phase information” of input pattern. With this one-to-one mapping transformed pattern to original with normalized (learned) position can be achieved. Numerical experiments show nearly all information stored matrix, not RT. Invertible (IRT) used filtering coding image sequences.
springer.com
sci-hub.st 参考文章(3)
J. R. Fienup, Reconstruction of an object from the modulus of its Fourier transform. Optics Letters. ,vol. 3, pp. 27- 29 ,(1978) , 10.1364/OL.3.000027
H. Reitboeck, T.P. Brody, A transformation with invariance under cyclic permutation for applications in pattern recognition Information & Computation. ,vol. 15, pp. 130- 154 ,(1969) , 10.1016/S0019-9958(69)90387-8
A.V. Oppenheim, J.S. Lim, The importance of phase in signals Proceedings of the IEEE. ,vol. 69, pp. 529- 541 ,(1981) , 10.1109/PROC.1981.12022