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 Concept Videos

The Power Flow Problem and Solution01:26

The Power Flow Problem and Solution

1.2K
Power flow problem analysis is fundamental for determining real and reactive power flows in network components, such as transmission lines, transformers, and loads. The power system's single-line diagram provides data on the bus, transmission line, and transformer. Each bus k in the system is characterized by four key variables: voltage magnitude Vk​, phase angle δk​, real power Pk​, and reactive power Qk​. Two of these four variables are inputs, while the power...
1.2K
Fast Decoupled and DC Powerflow01:24

Fast Decoupled and DC Powerflow

947
The fast decoupled power flow method addresses contingencies in power system operations, such as generator outages or transmission line failures. This method provides quick power flow solutions, essential for real-time system adjustments. Fast decoupled power flow algorithms simplify the Jacobian matrix by neglecting certain elements, leading to two sets of decoupled equations:
947
Area Computation by the Alternative Coordinate Method01:24

Area Computation by the Alternative Coordinate Method

850
The alternative coordinate method, also known as the Shoelace Formula, is a technique for determining the area of a traverse using Cartesian coordinates. This method relies on the sequential arrangement of x and y coordinates for each point of the shape, ensuring accuracy and ease of application.In this approach, each corner's x and y coordinates are listed as fractions, with the x-coordinate as the numerator and the y-coordinate as the denominator. These coordinates are arranged sequentially...
850
Kinematic Equations: Problem Solving01:15

Kinematic Equations: Problem Solving

24.2K
When analyzing one-dimensional motion with constant acceleration, the problem-solving strategy involves identifying the known quantities and choosing the appropriate kinematic equations to solve for the unknowns. Either one or two kinematic equations are needed to solve for the unknowns, depending on the known and unknown quantities. Generally, the number of equations required is the same as the number of unknown quantities in the given example. Two-body pursuit problems always require two...
24.2K
Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

834
Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
Here, in order to determine the magnitude of velocity and acceleration for point...
834
Statically Indeterminate Problem Solving01:16

Statically Indeterminate Problem Solving

924
Statically indeterminate problems are those where statics alone can not determine the internal forces or reactions. Consider a structure comprising two cylindrical rods made of steel and brass. These rods are joined at point B and restrained by rigid supports at points A and C. Now, the reactions at points A and C and the deflection at point B are to be determined. This rod structure is classified as statically indeterminate as the structure has more supports than are necessary for maintaining...
924

You might also read

Related Articles

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

Sort by
Same author

Feasibility study of image reconstruction for a forceps-type positron emission counter: a simulation-based algorithm comparison.

Physics in medicine and biology·2026
Same author

Alpha/beta discrimination in a position-sensitive fiber detector based on a pulse height method.

Applied radiation and isotopes : including data, instrumentation and methods for use in agriculture, industry and medicine·2026
Same author

Utility of impedance mapping to delineate atrial septal occluders during catheter ablation.

Heart rhythm O2·2026
Same author

Pulsed field ablation using a multielectrode variable-loop circular catheter via a superior approach in a patient with dextrocardia, situs inversus, and interrupted inferior vena cava: a case report.

European heart journal. Case reports·2026
Same author

Novel Impedance-Guided Contact Mapping Technique for the Circular Multielectrode Pulsed-Field Ablation Catheter.

Clinical case reports·2026
Same author

Erratum: Optical imaging for the characterization of radioactive carbon and oxygen ion beams (2019<i>Phys. Med. Biol</i>.<b>64</b>115009).

Physics in medicine and biology·2026

Related Experiment Video

Updated: Apr 23, 2026

Automated Rat Single-Pellet Reaching with 3-Dimensional Reconstruction of Paw and Digit Trajectories
07:52

Automated Rat Single-Pellet Reaching with 3-Dimensional Reconstruction of Paw and Digit Trajectories

Published on: July 10, 2019

13.7K

Pre-computed system matrix calculation based on a piece-wise method for PET.

Abdella M Ahmed1, Yohei Kikuchi, Shigeo Matsuyama

  • 1Department of Quantum Science and Energy Engineering, Tohoku University, Aramaki-Aza-Aoba 6-6-01-2, Aoba-ku, Sendai, Miyagi, Japan, abdellanur@gmail.com.

Radiological Physics and Technology
|September 27, 2014
PubMed
Summary

This study introduces a novel piece-wise calculation method to significantly speed up system matrix (SM) generation for iterative image reconstruction. The new technique reduces computation time from 5 days to just 5 hours, accelerating medical imaging analysis.

More Related Videos

3D Ultrasound Imaging: Fast and Cost-effective Morphometry of Musculoskeletal Tissue
08:52

3D Ultrasound Imaging: Fast and Cost-effective Morphometry of Musculoskeletal Tissue

Published on: November 27, 2017

23.8K
An Experimental Protocol for Assessing the Performance of New Ultrasound Probes Based on CMUT Technology in Application to Brain Imaging
16:01

An Experimental Protocol for Assessing the Performance of New Ultrasound Probes Based on CMUT Technology in Application to Brain Imaging

Published on: September 24, 2017

10.0K

Related Experiment Videos

Last Updated: Apr 23, 2026

Automated Rat Single-Pellet Reaching with 3-Dimensional Reconstruction of Paw and Digit Trajectories
07:52

Automated Rat Single-Pellet Reaching with 3-Dimensional Reconstruction of Paw and Digit Trajectories

Published on: July 10, 2019

13.7K
3D Ultrasound Imaging: Fast and Cost-effective Morphometry of Musculoskeletal Tissue
08:52

3D Ultrasound Imaging: Fast and Cost-effective Morphometry of Musculoskeletal Tissue

Published on: November 27, 2017

23.8K
An Experimental Protocol for Assessing the Performance of New Ultrasound Probes Based on CMUT Technology in Application to Brain Imaging
16:01

An Experimental Protocol for Assessing the Performance of New Ultrasound Probes Based on CMUT Technology in Application to Brain Imaging

Published on: September 24, 2017

10.0K

Area of Science:

  • Medical Imaging
  • Computational Science
  • Image Reconstruction

Background:

  • Iterative image reconstruction algorithms rely on system matrices (SMs).
  • Calculating SMs is computationally intensive due to modeling vast numbers of lines of response (LORs).
  • Existing methods are time-consuming, limiting their practical application.

Purpose of the Study:

  • To develop an efficient method for calculating the system matrix (SM).
  • To reduce the significant computation time associated with modeling lines of response (LORs).
  • To accelerate iterative image reconstruction processes.

Main Methods:

  • A piece-wise calculation method was developed, incorporating voxel division and symmetry.
  • Detector response functions were calculated analytically for photon pairs along LORs.
  • The system matrix was computed independently on three computers for validation.

Main Results:

  • The novel method reduced SM calculation time from 5 days to 5 hours for a 300x300x120 voxel system.
  • This represents a substantial acceleration compared to conventional methods.
  • The sensitivity correction factor was stored efficiently at 42 MB.

Conclusions:

  • The piece-wise calculation method offers a highly efficient approach to SM generation.
  • This technique significantly reduces computation time, enabling faster iterative image reconstruction.
  • The method holds promise for improving the speed and efficiency of medical imaging analysis.