2-DIMENSIONAL IMAGE-RECONSTRUCTION FROM FOURIER COEFFICIENTS COMPUTED DIRECTLY FROM ZERO CROSSINGS

作     者：SALOMA, C HAEBERLI, P 

作者机构：The authors are with the National Institute of Physics College of Science University of the Philippines Diliman Quezon City 1101 Philippines. 

出 版 物：《APPLIED OPTICS》 (Appl. Opt.)

年 卷 期：1993年第32卷第17期

页      面：3092-3093页

核心收录：

学科分类：070207[理学-光学] 07[理学] 08[工学] 0803[工学-光学工程] 0702[理学-物理学] 

主　　题：CCD cameras Computation methods Detectors Fast Fourier transforms Fourier transforms Image reconstruction 

摘      要：Two-dimensional image reconstruction using Fourier coefficients that are computed directly from the sampled representation of zero crossings is demonstrated. A two-dimensional image of dimensions N(x) x N(y) is interpreted as a set of N(y) independent x-space lines (in gray-scale format) that are arranged uniquely along they direction. Each line has N(x) elements. Reconstruction is achieved first by computing the entire set of N(y) one-dimensional Fourier transforms from the measured zero crossings using Newton s formula. Each N(y)th line spectra has N(x) Fourier coefficients. The inverse Fourier transform is then applied to each of the line spectra to obtain a set of N(y) reconstructed x-space lines. The reconstructed image is obtained by arranging the reconstructed lines properly along they direction.