Filtered backprojection implementation of the immediately-after-backprojection filtering

Fan-beam filtered-backprojection reconstruction without backprojection weight.

In this paper, we address the problem of two-dimensional image reconstruction from fan-beam data acquired along a full 2pi scan. Conventional approaches that follow the filtered-backprojection (FBP) structure require a weighted backprojection with the weight depending on the point to be reconstructed and also on the source position; this weight appears only in the case of divergent beam geometr...

The Gradient and Laplacien Filtered BackProjection

This paper presents a new method, based on the Filtered Back Projection technique (FBP), to compute directly the values of the gradient and the laplacien of an X-Ray image. We propose a way to pre-process the raw data that allow us to compute directly the reconstructed values of the gradient or of the laplacien at any location in the plane (deened with real coordinates), without reconstructing ...

Cone-Beam Reconstruction Using Filtered Backprojection

The art of medical computed tomography is constantly evolving and the last years have seen new ground breaking systems with multi-row detectors. These tomographs are able to increase both scanning speed and image quality compared to the single-row systems more commonly found in hospitals today. This thesis deals with three-dimensional image reconstruction algorithms to be used in future generat...

On the optimality of the filtered backprojection algorithm.

It is shown that under certain conditions the filtered backprojection algorithm produces a computed tomographic reconstruction for which the statistical accuracy attainable in the amplitude estimation of large-area objects meets the general lower bound derived by Tretiak. In this sense, filtered backprojection is an optimum algorithm.

The Semidiscrete Filtered Backprojection Algorithm Is Optimal for Tomographic Inversion