Internet distributed image information system
Integrated Computer-Aided Engineering
The mojette transform: the first ten years
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
Lossless image compression via predictive coding of discrete Radon projections
Image Communication
Tomographic reconstruction of images from noisy projections: a preliminary study
AI'07 Proceedings of the 20th Australian joint conference on Advances in artificial intelligence
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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 = pil – 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.