Research On Image Reconstruction Algorithm From Projection Based On Polynomial Expansion

In this paper,we propose a new projection-reconstructed image algorithm based on polynomial expansion.To be more specific,although the interpolation theorem of binary polynomials based on Radon projection gives the expression of the interpolation poly-nomial,it is rather complex to calculate the coefficient of baseU_m(t),which is not con-ducive to practical application.Therefore,combining with the idea of two-dimensional image reconstruction algorithm based on Chebyshev decomposition,we put forward a new formula for calculating theU_m(t)coefficient of the base,which makes the new algo-rithm easier to implement and practical application.Through numerical experiments,we analyse the effects of different projection angles on the reconstructed image,and compare the function values of some column pixels in the original image with the corresponding column pixels in the reconstructed results,at the same time,the corresponding error anal-ysis is made.The experimental results show that the proposed algorithm is very effective for reconstructing images from projection data.With the increase of projection angles,the image is heavier.The construction effect is more and more obvious,which has certain research value.