# An Exact and Fast CBCT Reconstruction via Pseudo-Polar Fourier Transform   based Discrete Grangeat's Formula

**Authors:** N. Teyfouri (1), H. Rabbani (1), R. Kafieh (1), and Iraj Jabbari (2), ((1) School of Advanced Technologies in Medicine, Medical Image, Signal, Processing Research Center, Isfahan University of Medical Sciences, (2), Department of Nuclear Engineering, Faculty of Advanced Sciences and, Technologies, University of Isfahan)

arXiv: 1906.06472 · 2020-06-24

## TL;DR

This paper introduces a novel, fast, and exact method for 3D CBCT reconstruction using Pseudo-Polar Fourier Transform and Discrete Grangeat's Formula, enabling high-quality images from limited projections.

## Contribution

It presents a new reconstruction approach that combines Pseudo-Polar Fourier Transform with Discrete Grangeat's Formula for efficient 3D CBCT imaging.

## Key findings

- Achieves high-quality 3D images with fewer projections.
- Provides a fast and exact reconstruction algorithm.
- Enhances low-dose CBCT imaging capabilities.

## Abstract

The recent application of Fourier Based Iterative Reconstruction Method (FIRM) has made it possible to achieve high-quality 2D images from a fan beam Computed Tomography (CT) scan with a limited number of projections in a fast manner. The proposed methodology in this article is designed to provide 3D Radon space in linogram fashion to facilitate the use of FIRM with cone beam projections (CBP) for the reconstruction of 3D images in a low dose Cone Beam CT (CBCT).

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Source: https://tomesphere.com/paper/1906.06472