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Image Reconstruction From Incomplete Projections

We propose a series expansion method for image reconstruction from projections which is equivalent to the Fourier transform method. The reconstruction formula is applicable to incomplete projection data such as limited angle projection data and restricted region scan data. It is also applied not only to pencil beam and fan-beam scanners but also to any different type of CT scanners, for instance, a fan-beam scanner with a linear motion of x-ray source. The reconstruction technique, therefore, provides a direct method to restore any sectional image of a three-dimensional body.