Title :
Image representation and reconstruction from spectral amplitude or phase
Author :
Shapiro, Yossi ; Porat, Moshe
Author_Institution :
Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
Abstract :
The Fourier transform plays a major role in many signal and image processing systems. In this paper the representation and reconstruction of signals from partial Fourier information is investigated. In particular, necessary and sufficient conditions for unique representation of two-dimensional signals (images) by spectral amplitude are introduced. An algorithm for image reconstruction from spectral amplitude is described and examples of reconstructed images are presented. Based on the analysis of the reconstruction algorithm, a theorem on optimal signals is introduced. The results are compared to the dual case of image representation by spectral phase and conclusions are presented and discussed
Keywords :
image reconstruction; image representation; iterative methods; spectral analysis; image processing systems; image reconstruction; image representation; optimal signals theorem; partial Fourier information; partial spectral information; reconstruction algorithm; spectral amplitude; spectral phase; two-dimensional signals; Convergence; Fourier transforms; Image processing; Image reconstruction; Image representation; Iterative algorithms; Reconstruction algorithms; Signal analysis; Signal processing; Sufficient conditions;
Conference_Titel :
Electronics, Circuits and Systems, 1998 IEEE International Conference on
Conference_Location :
Lisboa
Print_ISBN :
0-7803-5008-1
DOI :
10.1109/ICECS.1998.814921
