&lt;title&gt;Secure coding for medical sequence transmission over ATM network&lt;/title&gt;

Terrien, F.; Guédon, Jean-Pierre; Philippe, Olivier

doi:10.1117/12.274572

Cited by 2 publications

(2 citation statements)

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“…Unfortunately in most practical cases, only aperiodic discrete projections (generally from the MT [6]) exist in various signal and image processing applications ranging from psychovisual analysis [6], data integrity [22], [23], packet networks via an -dimensional MT [24], lossless networking [25], image compression [26], scalable multimedia distribution [27], image coding [28] and watermarking [29], [30]. Recent efforts have also been made to apply the MT to real data with the aim of reducing the number of projections and thus reducing the dose to the subject or object being scanned [31], [32], [18], [19], [33].…”

Section: A Discrete Fourier Slice Theoremmentioning

confidence: 99%

Robust Digital Image Reconstruction via the Discrete Fourier Slice Theorem

Chandra

Normand²,

Kingston

et al. 2014

IEEE Signal Process. Lett.

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International audienceThe discrete Fourier slice theorem is an important tool for signal processing, especially in the context of the exact reconstruction of an image from its projected views. This paper presents a digital reconstruction algorithm to recover a two dimensional (2-D) image from sets of discrete one dimensional (1-D) projected views. The proposed algorithm has the same computational complexity as the 2-D fast Fourier transform and remains robust to the addition of significant levels of noise. A mapping of discrete projections is constructed to allow aperiodic projections to be converted to projections that assume periodic image boundary conditions. Each remapped projection forms a 1-D slice of the 2-D Discrete Fourier Transform (DFT) that requires no interpolation. The discrete projection angles are selected so that the set of remapped 1-D slices exactly tile the 2-D DFT space. This permits direct and mathematically exact reconstruction of the image via the inverse DFT. The reconstructions are artefact free, except for projection inconsistencies that arise from any additive and remapped noise. We also present methods to generate compact sets of rational projection angles that exactly tile the 2-D DFT space. The improvement in noise suppression that comes with the reconstruction of larger sized images needs to be balanced against the corresponding increase in computation time

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Section: A Discrete Fourier Slice Theoremmentioning

confidence: 99%

Robust Digital Image Reconstruction via the Discrete Fourier Slice Theorem

Chandra

Normand²,

Kingston

et al. 2014

IEEE Signal Process. Lett.

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“…The MT was initially constructed to aid work that modelled the human vision system [14]. Since then, applications of the MT include image encoding and network transmission [20,17], as well as work on Asynchronous Transfer Mode (ATM), data integrity [22,23], packet networks via an n-dimensional MT [24], lossless networking [25] and in scalable multimedia distribution [26]. Image watermarking using a Fourier-based method and the MT has also been developed [27,28] as well as another scheme for crypto-marking and transmission over the Internet of medical images [29,30].…”

Section: Mojette Transformmentioning

confidence: 99%

Fast Mojette Transform for Discrete Tomography

Chandra,

Normand,

Kingston

et al. 2010

Preprint

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A new algorithm for reconstructing a two dimensional object from a set of one dimensional projected views is presented that is both computationally exact and experimentally practical. The algorithm has a computational complexity of O(n log 2 n) with n = N 2 for an N × N image, is robust in the presence of noise and produces no artefacts in the reconstruction process, as is the case with conventional tomographic methods. The reconstruction process is approximation free because the object is assumed to be discrete and utilises fully discrete Radon transforms. Noise in the projection data can be suppressed further by introducing redundancy in the reconstruction. The number of projections required for exact reconstruction and the response to noise can be controlled without comprising the digital nature of the algorithm. The digital projections are those of the Mojette Transform, a form of discrete linogram. A simple analytical mapping is developed that compacts these projections exactly into symmetric periodic slices within the Discrete Fourier Transform. A new digital angle set is constructed that allows the periodic slices to completely tile all of the objects Discrete Fourier space. Techniques are proposed to acquire these digital projections experimentally to enable fast and robust two dimensional reconstructions.

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<title>Secure coding for medical sequence transmission over ATM network</title>

Cited by 2 publications

References 0 publications

Robust Digital Image Reconstruction via the Discrete Fourier Slice Theorem

Robust Digital Image Reconstruction via the Discrete Fourier Slice Theorem

Fast Mojette Transform for Discrete Tomography

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