@inproceedings{b0a6727dd5c84e9e8a4cc6b104829bfb,
title = "Direct inversion of Mojette projections",
abstract = "We present algorithms to reconstruct images from minimal sets of discrete Mojette projections using direct back-projection (DBP) with various forms of correction. This paper extends previous work on discrete projection inversion by Servi{\`e}res et al [1, 2, 3]. The number of Mojette projections needed for exact inversion by DBP (EI-DBP) scales as O(N2). A new form of discrete interpolation is developed to expand the point spread function (PSF) of a minimal (Katz-sufficient) set of discrete projections to encompass new directions and thus augment the size of the reconstruction region to which EI-DBP applies. Additionally, we propose a Fourier domain filter for Mojette back-projection that is built from the discrete PSF of the given Mojette angle set and the autocorrelation function of the image domain. These discrete reconstruction methods are targeted for use with noisy sets of real projection data.",
keywords = "Mojette transforms, back-projection, discrete Radon transforms, discrete tomography, projection, reconstruction",
author = "Imants Svalbe and Andrew Kingston and Jeanpierre Gu{\'e}don and Nicolas Normand and Shekhar Chandra",
year = "2013",
doi = "10.1109/ICIP.2013.6738214",
language = "English",
isbn = "9781479923410",
series = "2013 IEEE International Conference on Image Processing, ICIP 2013 - Proceedings",
publisher = "IEEE Computer Society",
pages = "1036--1040",
booktitle = "2013 IEEE International Conference on Image Processing, ICIP 2013 - Proceedings",
address = "United States",
note = "2013 20th IEEE International Conference on Image Processing, ICIP 2013 ; Conference date: 15-09-2013 Through 18-09-2013",
}