14 November 1996 Sending image information to its Fourier phase and its use toward image recognition
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Abstract
An iterative algorithm has been presented that sends the information of a real and non-negative image to its Fourier phase. The result is a complex image with uniform amplitude in the Fourier domain. Thus in the frequency domain all the information is in the phase and the amplitude is a constant for all frequencies. In the space domain the image, although complex, has the desired property of having an absolute value the same as the original real image. Matched filtering is a common procedure for image recognition with the conjugate of the Fourier transform of the model being the frequency response of the filter. It is shown that using these new complex images instead of the ordinary real images makes the output of the filter very peaked in the case of a match and widely spread in the case of a mis-match. THus the new filter has a highly superior performance over the conventional matched filtering. It is also shown that due to the above properties the new filter performs very well when filter's input is highly corrupted by additive noise.
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Hamid Fahimi, Hamid Fahimi, "Sending image information to its Fourier phase and its use toward image recognition", Proc. SPIE 2847, Applications of Digital Image Processing XIX, (14 November 1996); doi: 10.1117/12.258231; https://doi.org/10.1117/12.258231
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