GENERALIZED CORRECTION FUNCTIONS FOR CONVOLUTIONAL TECHNIQUES IN 3-DIMENSIONAL IMAGE-RECONSTRUCTION

Presents simple expressions for the correction functions for convolutional techniques in three dimensional image reconstruction. The intrinsic property involved in these techniques is clarified. It is shown that the introduction of the concept of the distribution is useful to derive the ideal or practical correction functions used in convolution methods. The ideal correction functions obtained are summarised. The concept of correction function defined as the distribution may be a starting point for deriving more advanced reconstruction schemes.