Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Video

Updated: May 15, 2026

Photorealistic Learned Landscapes for Augmented Reality
06:54

Photorealistic Learned Landscapes for Augmented Reality

Published on: June 27, 2025

Preconditioned Alternating Projection Algorithms for Maximum a Posteriori ECT Reconstruction.

Andrzej Krol1, Si Li, Lixin Shen

  • 1Department of Radiology, SUNY Upstate Medical University, Syracuse, NY 13210, USA. krola@upstate.edu.

Inverse Problems
|December 29, 2012
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

<sup>99m</sup>Tc MAA SPECT/CT pre-treatment based surrogate dosimetry and hepatotoxicity in patients following <sup>90</sup>Y radioembolization: association of non-tumor liver dose and clinical markers of radioembolization induced liver disease (REILD).

Quantitative imaging in medicine and surgery·2026
Same author

Computed Quantitative Planar Imaging for Targeted Alpha Therapy: Model-Based Sparse Reconstruction Validated With a Novel <sup>225</sup>Ac Epoxy Phantom.

IEEE transactions on medical imaging·2026
Same author

Determination of the point-of-first-interaction for an ultra-high-performance brain PET system with "onion ring" geometry.

Proceedings of SPIE--the International Society for Optical Engineering·2026
Same author

A Novel Method of Noninvasive Sphenopalatine Ganglion Stimulation in Craniofacial Pain: Case Series and Literature Review.

Neuromodulation : journal of the International Neuromodulation Society·2026
Same author

Mixed pain: clinical practice recommendations.

Frontiers in medicine·2025
Same author

Isoliquiritigenin targets las, rhl, and Pqs quorum sensing systems to mitigate the virulence and infection of Pseudomonas aeruginosa.

BMC microbiology·2025
Same journal

Microlocal analysis of non-linear operators arising in Compton CT.

Inverse problems·2026
Same journal

A PINN-driven game-theoretic framework in limited data photoacoustic tomography.

Inverse problems·2025
Same journal

An accelerated preconditioned proximal gradient algorithm with a generalized Nesterov momentum for PET image reconstruction.

Inverse problems·2025
Same journal

Method of moments for 3D single particle <i>ab initio</i> modeling with non-uniform distribution of viewing angles.

Inverse problems·2025
Same journal

Multi-target detection with application to cryo-electron microscopy.

Inverse problems·2025
Same journal

Linearized boundary control method for density reconstruction in acoustic wave equations.

Inverse problems·2024
See all related articles

We introduce a preconditioned alternating projection algorithm (PAPA) for emission computed tomography (ECT) reconstruction. This new method significantly improves convergence speed and image quality compared to existing algorithms like MAP-EM-TV.

Area of Science:

  • Medical Imaging
  • Computational Science
  • Optimization

Background:

  • Emission Computed Tomography (ECT) reconstruction is crucial for medical diagnostics.
  • Existing methods like Maximum A Posteriori Expectation-Maximization with Total Variation (MAP-EM-TV) regularization face challenges in convergence speed and image quality.

Purpose of the Study:

  • To develop a novel, efficient algorithm for solving the MAP ECT reconstruction problem.
  • To improve upon the performance of conventional and nested EM-TV algorithms.

Main Methods:

  • Formulated the ECT reconstruction as a constrained convex optimization problem with Total Variation (TV) regularization.
  • Developed a Preconditioned Alternating Projection Algorithm (PAPA) using proximity operators and an EM-preconditioner.
  • Theoretically proved the convergence of the PAPA algorithm.

Related Experiment Videos

Last Updated: May 15, 2026

Photorealistic Learned Landscapes for Augmented Reality
06:54

Photorealistic Learned Landscapes for Augmented Reality

Published on: June 27, 2025

Main Results:

  • PAPA significantly outperforms EM-TV in convergence speed, noise reduction, and image quality.
  • PAPA demonstrates faster convergence than nested EM-TV while achieving comparable image quality.

Conclusions:

  • The proposed PAPA offers a superior alternative for MAP ECT reconstruction.
  • PAPA enhances both the efficiency and quality of ECT image reconstruction.