Detection of magnification, rotation, and parallel translation using Hough and Fourier-Mellin transforms

Hiroyuki Onishi, Hisashi Suzuki · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1997

Let a reference image and an input image that is magnified, rotated, and parallel-translated from the reference image be given. This paper discusses a method of computing the scale of magnification, the angle of rotation, and the quantity of parallel translation with a Hough transform of O'Gorman- Clowes version and a Fourier-Mellin transform. Differently from known methods using Fourier or Hough transforms, the discussed method can compute uniquely the angle of rotation. Moreover, the discussed method can process even low quality images since it does not require extracting feature points differently from known methods. Experiments were applied to actual images of bills.

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