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Related Experiment Video

Updated: May 25, 2026

Three-Dimensional Phase Resolved Functional Lung Magnetic Resonance Imaging
10:44

Three-Dimensional Phase Resolved Functional Lung Magnetic Resonance Imaging

Published on: June 21, 2024

A filtered backprojection algorithm with characteristics of the iterative landweber algorithm.

Gengsheng L Zeng1

  • 1Department of Radiology, University of Utah, Salt Lake City, UT 84108, USA.

Medical Physics
|February 11, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces a novel window function for filtered backprojection (FBP) in tomography. This innovation allows analytical FBP algorithms to achieve noise and resolution similar to iterative Landweber algorithms.

Related Experiment Videos

Last Updated: May 25, 2026

Three-Dimensional Phase Resolved Functional Lung Magnetic Resonance Imaging
10:44

Three-Dimensional Phase Resolved Functional Lung Magnetic Resonance Imaging

Published on: June 21, 2024

Area of Science:

  • Medical Imaging
  • Computational Imaging

Background:

  • Iterative algorithms like Landweber offer noise control in tomography.
  • Filtered Backprojection (FBP) is a common analytical reconstruction method.

Purpose of the Study:

  • To develop an analytical algorithm mimicking iterative noise characteristics.
  • To create a window function for FBP that emulates the Landweber algorithm.

Main Methods:

  • Derived a frequency domain window function based on the Landweber algorithm formulation.
  • Indexed the window function (k) to correspond to Landweber algorithm iterations.
  • Modified the ramp filter within the FBP algorithm using the derived window function.

Main Results:

  • Computer simulations demonstrated comparable reconstructions between the windowed FBP and iterative Landweber algorithms.
  • Similarities were observed in image resolution and noise levels for equivalent iteration/window indices (k).

Conclusions:

  • Analytical FBP algorithms can achieve iterative algorithm performance.
  • Modifying the FBP ramp filter with specialized window functions is key to matching iterative results.