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I have performed reconstruction of images in Fresnel transform using a desired algorithm. Now the aim is to find an optimal value of image plane distance at which the reconstruction is accurate. I have formulated the problem as below:

||X_recon - X*e^{ax^2}.e{-bx^2}*e{cx^2}||_2^2 such that ||c||<=1

here X_recon = reconstructed image in F domain ax bx are known we need to find c=image plane distance and the real X (time-domain).

Is the formulation correct

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