» Articles » PMID: 15470913

A Two-step Hilbert Transform Method for 2D Image Reconstruction

Overview
Journal Phys Med Biol
Publisher IOP Publishing
Date 2004 Oct 9
PMID 15470913
Citations 63
Authors
Affiliations
Soon will be listed here.
Abstract

The paper describes a new accurate two-dimensional (2D) image reconstruction method consisting of two steps. In the first step, the backprojected image is formed after taking the derivative of the parallel projection data. In the second step, a Hilbert filtering is applied along certain lines in the differentiated backprojection (DBP) image. Formulae for performing the DBP step in fanbeam geometry are also presented. The advantage of this two-step Hilbert transform approach is that in certain situations, regions of interest (ROIs) can be reconstructed from truncated projection data. Simulation results are presented that illustrate very similar reconstructed image quality using the new method compared to standard filtered backprojection, and that show the capability to correctly handle truncated projections. In particular, a simulation is presented of a wide patient whose projections are truncated laterally yet for which highly accurate ROI reconstruction is obtained.

Citing Articles

Prior-FOVNet: A Multimodal Deep Learning Framework for Megavoltage Computed Tomography Truncation Artifact Correction and Field-of-View Extension.

Tang L, Zheng M, Liang P, Li Z, Zhu Y, Zhang H Sensors (Basel). 2025; 25(1.

PMID: 39796828 PMC: 11722818. DOI: 10.3390/s25010039.


[Reconstruction from CT truncated data based on dual-domain transformer coupled feature learning].

Wang C, Meng M, Li M, Wang Y, Zeng D, Bian Z Nan Fang Yi Ke Da Xue Xue Bao. 2024; 44(5):950-959.

PMID: 38862453 PMC: 11166716. DOI: 10.12122/j.issn.1673-4254.2024.05.17.


PIDNET: Polar Transformation Based Implicit Disentanglement Network for Truncation Artifacts.

Li G, Huang X, Huang X, Zong Y, Luo S Entropy (Basel). 2024; 26(2).

PMID: 38392356 PMC: 10887623. DOI: 10.3390/e26020101.


Deep-Interior: A new pathway to interior tomographic image reconstruction via a weighted backprojection and deep learning.

Zhang C, Chen G Med Phys. 2023; 51(2):946-963.

PMID: 38063251 PMC: 10993302. DOI: 10.1002/mp.16880.


Noise Suppression With Similarity-Based Self-Supervised Deep Learning.

Niu C, Li M, Fan F, Wu W, Guo X, Lyu Q IEEE Trans Med Imaging. 2023; 42(6):1590-1602.

PMID: 37015446 PMC: 10288330. DOI: 10.1109/TMI.2022.3231428.