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A new image reconstruction technique for computed tomography is described. Projection data obtained by a smaller angle rotation less than 180 degrees around the object are used to make the image. The main feature of the method is the estimation of missing region in the Fourier transformed domain by extrapolation employing analytic continuity. Numerical simulations were carried out using computer generated pattern data. The results show strong effects of the content of noisy component on the reconstructed image. The method might be, however, practically applied to some real fields for medical diagnosis.