Gamma ray zone plate holography is a new technique with applications to Nuclear Medicine. Unlike other tomographic techniques three dimensional images can be reconstructed from just one projection. The history of zone plate holography is reviewed and the differences between this technique and conventional holography are outlined. Sources of error in the recorded hologram are reviewed and methods for the assessment of image quality are given. Three image reconstruction techniques are described and compared. These techniques are convolution deconvolution and the CLEAN algorithm Simulated diffraction is the main image reconstruction method which has previously been used to reconstruct images from zone plate holograms This method is a form of convolution reconstruction. Several variations on this technique are introduced and compared. Matched filltering is also investigated and compared with the simulated diffraction based methods. An approximate Fourier Wiener filter is used to reconstruct the images by deconvolution. Several different versions of this filter are discussed and compared. The CLEAN algorithm reconstruction is an iterative method which is based on either convolution or deconvolution. The three methods are tested using both computer generated and real gamma ray zone plate holograms
