Generalised correction functions for convolutional techniques in three-dimensional image reconstruction

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Abstract
The 3-dimensional reconstruction problem has received much attention in diagnostic radiology, radionuclide imaging, EM and many other fields. A simple method of 3-D reconstruction is to divide an object into a number of parallel slices and to perform 2-D reconstruction on each slice from a series of projections obtained for various directions in the slice plane. There are 2 convolution methods in 2-D reconstruction. The introduction of the concept of the distribution is useful to derive the ideal or practical correction functions used in multidimensional convolution methods for image reconstruction. The ideal correction functions obtained are summarized.

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