@inproceedings{14ffab31a1e142d5a0a0e2c983090d96,

title = "A geometry driven reconstruction algorithm for the mojette transform",

abstract = "The Mojette transform is an entirely discrete form of the Radon transform developed in 1995. It is exactly invertible with both the forward and inverse transforms requiring only the addition operation. Over the last 10 years it has found many applications including image watermarking and encryption, tomographic reconstruction, robust data transmission and distributed data storage. This paper presents an elegant and efficient algorithm to directly apply the inverse Mojette transform. The method is derived from the inter-dependance of the {"}rational{"} projection vectors (pi, qi) which define the direction of projection over the parallel set of lines b = p il - qik. Projection values are acquired by summing the value of image pixels, f(k,l), centered on these lines. The new inversion is up to 5 times faster than previously proposed methods and solves the redundancy issues of these methods.",

author = "Nicolas Normand and Andrew Kingston and Pierre {\'E}venou",

year = "2006",

doi = "10.1007/11907350_11",

language = "English",

isbn = "3540476512",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "122--133",

booktitle = "Discrete Geometry for Computer Imagery - 13th International Conference, DGCI 2006, Proceedings",

address = "Germany",

note = "13th International Conference on Discrete Geometry for Computer Imagery, DGCI 2006 ; Conference date: 25-10-2006 Through 27-10-2006",

}