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

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.
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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