A discrete tomography approach for superresolution micro-CT images: application to bone

Gompel, Gert Van; Batenburg, Kees Joost; Casteele, Elke Van de; Aarle, Wim van; Sijbers, Jan

doi:10.1109/isbi.2010.5490111

Cited by 9 publications

(8 citation statements)

References 2 publications

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“…Secondly, the ability to finely tune the energy of the X-ray beam allows dualenergy (also called dual-absorption) μ-CT, that can be used, for example, to determine the distribution of a specific chemical element in 3D. This possibility has greatly enhanced interest in microscopic elemental analysis and is only beginning to be applied to geological specimens (e.g., Gualda et al, 2010; see discussion below), although it has already been used in other fields for more than a decade (Materna et al, 1999;Nogueira et al, 2009;Schena et al, 2002;Tsunoo et al, 2004).…”

Section: Synchrotron X-ray μ-Ctmentioning

confidence: 99%

“…Note that particles are "bounced back" when they intercept a boundary node (squares), thereby enforcing a no-slip condition at the fluid-solid interface. artifacts in the reconstructed slices (van Gompel et al, 2010). During in situ experiments investigating rapid reactions (e.g., vesiculation) it may be impossible to collect a complete set of radiographs with 180°r otation; in these cases novel approaches based on the use of iterative methods, such as the Simultaneous Algebraic Reconstruction Technique, SART (Andersen and Kak, 1984;Maaß et al, 2010) and the Discrete Algebraic Reconstruction Technique, DART (Batenburg and Silbers, 2007), may provide images with high spatial resolution from a limited number of projections.…”

Section: The Futurementioning

confidence: 99%

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An introduction to the application of X-ray microtomography to the three-dimensional study of igneous rocks

Baker

Mancini

Polacci

et al. 2012

Lithos

190

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Section: Synchrotron X-ray μ-Ctmentioning

confidence: 99%

Section: The Futurementioning

confidence: 99%

An introduction to the application of X-ray microtomography to the three-dimensional study of igneous rocks

Baker

Mancini

Polacci

et al. 2012

Lithos

190

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“…It will be shown that by upsampling the reconstruction grid and incorporating prior knowledge about the objects grey levels, the lack of high resolution projection data can be compensated. The proposed approach effectively increases the spatial resolution of the tomographic reconstructions [21], [22].…”

Section: N X-ray Computed Tomography (Ct)mentioning

confidence: 99%

Super-Resolution for Computed Tomography Based on Discrete Tomography

Aarle

Batenburg

Gompel³

et al. 2014

IEEE Trans. on Image Process.

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Abstract-In computed tomography (CT), partial volume effects impede accurate segmentation of structures that are small with respect to the pixel size. In this paper, it is shown that for objects consisting of a small number of homogeneous materials, the reconstruction resolution can be substantially increased without altering the acquisition process. A super-resolution reconstruction approach is introduced that is based on discrete tomography, in which prior knowledge about the materials in the object is assumed. Discrete tomography has already been used to create reconstructions from a low number of projection angles, but in this paper, it is demonstrated that it can also be applied to increase the reconstruction resolution. Experiments on simulated and real μCT data of bone and foam structures show that the proposed method indeed leads to significantly improved structure segmentation and quantification compared with what can be achieved from conventional reconstructions.

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“…Our generalization of the results from [5] is not at all automatic. New concepts and proofs are introduced to overcome the dependency on constant column sums, paving the way towards practical error bounds for binary tomography, which can be used, for example, when using a cone-beam projection model [20] or in the case of truncated projection data [19].…”

Section: Introductionmentioning

confidence: 99%

Quality bounds for binary tomography with arbitrary projection matrices

Fortes

Batenburg

2015

Discrete Applied Mathematics

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a b s t r a c tBinary tomography deals with the problem of reconstructing a binary image from a set of its projections. The problem of finding binary solutions of underdetermined linear systems is, in general, very difficult and many such solutions may exist. In a previous paper we developed error bounds on differences between solutions of binary tomography problems restricted to projection models where the corresponding matrix has constant column sums. In this paper, we present a series of computable bounds that can be used with any projection model. In fact, the study presented here is not restricted to tomography and works for more general linear systems.We report the results of computational experiments for some phantom images, focused on parallel and fan beam projection models. Our results show that in some cases the computed bounds can be used to prove that the difference between binary solutions must be small, even if the corresponding linear system is severely underdetermined.

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A discrete tomography approach for superresolution micro-CT images: application to bone

Cited by 9 publications

References 2 publications

An introduction to the application of X-ray microtomography to the three-dimensional study of igneous rocks

An introduction to the application of X-ray microtomography to the three-dimensional study of igneous rocks

Super-Resolution for Computed Tomography Based on Discrete Tomography

Quality bounds for binary tomography with arbitrary projection matrices

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