New image reconstruction algorithm for spectral analysis and simulation

The image reconstruction algorithm for spectral analysis approaches the projection vector of image function by means of the projection vectors for various orthogonal-based functions in 2-D Fourier series. The weighting coefficients of various orthogonal-based functions are obtained by using optimization rule. The original image function can be reconstructed through Fourier inversion. The computer simulation shows that the algorithm reconstruction time is less than 1 second. The maximum error less than 5% and average error less than 1% can be obtained through selecting suitable approximate series and image reconstruction for complex field.