# Principles of Computerized Tomographic Imaging

@inproceedings{Glas2000PrinciplesOC, title={Principles of Computerized Tomographic Imaging}, author={Marjolein van der Glas}, year={2000} }

The total attenuation suffered by one beam of x-rays as it travels in a straight line through an object can be represented by a line integral. Combining a set of line integrals forms a projection. With the filtered back projection a three-dimensional reconstruction of the object can de made by using projections from different angles. The quality of a reconstructed image depends on the number of samples, the number of projections, the reconstruction grid, the photon energy, the x-ray source and…

## 1,803 Citations

X-Ray Tomographic Reconstruction

- Mathematics, Physics
- 2010

Tomographic scans have revolutionized imaging techniques used in medical and biological research by resolving individual sample slices instead of several superimposed images that are obtained from…

3D Modeling from Multiple Projections: Parallel-Beam to Helical Cone-Beam Trajectory

- PhysicsWSCG
- 2005

This research, as a replacement of radiographs, the series of photographs taken around the opaque object under the ambient light is completely served as the projections, and the outcome is the stack of pseudo cross-sectional image.

Adaptive Projection Selection for Computed Tomography

- PhysicsIEEE Transactions on Image Processing
- 2013

Two different approaches that adjust the step size to adaptively select the angle of projections are described that are based on the spectral richness of the acquired projections and the amount of new information added by successive projections.

3D Modeling from Using Spiral Cone-Beam Trajectory

- PhysicsTENCON 2005 - 2005 IEEE Region 10 Conference
- 2005

Tomographic imaging is a technique for exploration of a cross-section of an inspected object without destruction. Normally, the input data, known as the projections, are gathered by repeatedly…

A new algorithm for 2D region of interest tomography

- Computer Science, MathematicsSPIE Medical Imaging
- 2004

A new algorithm is developed that enables the reconstruction of a region of interest (ROI) in X-ray Computed Tomography (CT), in case only a local region of the object is to be imaged.

Center Determination for Cone-Beam X-ray Tomography

- Physics
- 2004

In order to render 3D model of the bone, the stack of cross-sectional images must be reconstructed from a series of X-ray radiographs, served as the projections. In the case where the distance…

Extended imaging volume in cone-beam x-ray tomography using the weighted simultaneous iterative reconstruction technique

- PhysicsPhysics in medicine and biology
- 2021

This work presents an implementation of redundancy weighting in the widely-used simultaneous iterative reconstruction technique (SIRT), yielding the weighted SIRT (W-SIRT) method, which has proven to perform well for both large as well as small regions of overlap, outperforming the pre-convolutional Feldkamp–David–Kress algorithm for small overlap regions.

Approximate filtered back-projection algorithm for plane curves in tomography problems

- Mathematics
- 2021

In previous works by the author and colleagues, it was proposed in some tomography problems to convert the fan-shaped projection measurement scheme into a system of parallel rays by deforming…

Image Reconstruction by the Method of Convex Projections

- MathematicsPHOTOPTICS
- 2020

The method of projection onto convex sets is applied to image reconstruction problems and the influence of the noise in reconstructed image is evaluated to evaluate the image quality in computer simulations.

Accelerating X-Ray Data Collection Using Pyramid Beam Ray Casting Geometries

- Computer ScienceIEEE Transactions on Image Processing
- 2011

The 2-D Fan-beam method in to 3-D is extended by porting the proposed PB geometries to fit the algorithm in, and the results show excellent reconstruction qualities while being simple for practical use.

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Principles of computerized tomographic imaging

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- 2001

Properties of Computerized Tomographic Imaging provides a tutorial overview of topics in tomographic imaging covering mathematical principles and theory and how to apply the theory to problems in medical imaging and other fields.

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