# 3D Image Reconstruction from X-Ray Measurements with Overlap

@article{Klodt20163DIR, title={3D Image Reconstruction from X-Ray Measurements with Overlap}, author={Maria Klodt and Raphael Andreas Hauser}, journal={ArXiv}, year={2016}, volume={abs/1611.07390} }

3D image reconstruction from a set of X-ray projections is an important image reconstruction problem, with applications in medical imaging, industrial inspection and airport security. The innovation of X-ray emitter arrays allows for a novel type of X-ray scanners with multiple simultaneously emitting sources. However, two or more sources emitting at the same time can yield measurements from overlapping rays, imposing a new type of image reconstruction problem based on nonlinear constraints…

## 4 Citations

### Non-Linear 3d Reconstruction For Compressive X-Ray Tomosynthesis

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A non-linear 3D reconstruction approach for compressive X-ray tomosynthesis, where a set of coding masks are used to generate structured illumination and reduce radiation dose is proposed.

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### Nonlinear Compressed Sensing for Multi-emitter X-Ray Imaging

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This paper proposes a model that exploits the structure of the nonlinearity and a nonlinear tomosynthesis algorithm that has a practical running time of solving only two linear subproblems at the equivalent resolution and underpin and justify the algorithm by deriving RIP bounds for the linear sub problems.

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