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A new reconstruction algorithm is presented, which transforms the plane image function into 2D Fourier series expansion and substitutes the projection vector of 2D Fourier series' orthogonal basic functions for that of the image function. By the minimum norm optimization criterion, the weighting coefficients are worked out and then the original image function can be obtained by inverse Fourier transformation. Computer simulations are made. The results show that the reconstruction time is less than one second and the maximum error can be less than 5%, the average error less than 1% by choosing proper approximation level.
Chunfang Li,Dufang Shi, andYunshan Li
"Computer simulation of image reconstruction by a new frequency spectrum approach algorithm", Proc. SPIE 5058, Optical Technology and Image Processing for Fluids and Solids Diagnostics 2002, (29 April 2003); https://doi.org/10.1117/12.509893
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Chunfang Li, Dufang Shi, Yunshan Li, "Computer simulation of image reconstruction by a new frequency spectrum approach algorithm," Proc. SPIE 5058, Optical Technology and Image Processing for Fluids and Solids Diagnostics 2002, (29 April 2003); https://doi.org/10.1117/12.509893