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

Aliasing01:18

Aliasing

731
Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
If the sampling frequency is below the Nyquist rate, these replicas overlap, preventing the original...
731
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

388
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
388
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

413
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
413
Reconstruction of Signal using Interpolation01:10

Reconstruction of Signal using Interpolation

812
Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next...
812
Linearization and Approximation01:26

Linearization and Approximation

124
Linearization is a mathematical technique used to approximate complex, nonlinear functions with simpler linear models in the vicinity of a chosen reference point. The method is based on the idea that, although a function may be difficult to evaluate exactly, its behavior near a specific input value can often be closely approximated by the tangent line at that point. This approach is particularly useful when small deviations from a known value are involved.Consider the square root function, for...
124
Deconvolution01:20

Deconvolution

656
Deconvolution, also known as inverse filtering, is the process of extracting the impulse response from known input and output signals. This technique is vital in scenarios where the system's characteristics are unknown, and they must be inferred from the observable signals.
Deconvolution involves several mathematical techniques to derive the impulse response. One common approach is polynomial division. In this method, the input and output sequences are treated as coefficients of...
656

You might also read

Related Articles

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

Sort by
Same author

Cubic Millimeter High Resolution 3D Inner-Volume GRASE (IV-GRASE) CEST MRI Using T<sub>1</sub>-Integrated Variable Density CAIPI Sampling With Temporal Random Walk: A Feasibility Study.

Magnetic resonance in medicine·2026
Same author

Effects of axial malrotation on posterior tibial slope measurement: a digitally reconstructed radiograph study enabling automated quality assessment.

Knee surgery & related research·2026
Same author

Automated measurement of cervical sagittal and local parameters using a generalizable deep learning model: a multinational development and validation study.

The spine journal : official journal of the North American Spine Society·2026
Same author

Neural decoding of Aristotle tactile illusion using deep learning-based fMRI classification.

Frontiers in neuroscience·2025
Same author

Higher spatial resolution and sensitivity in whole brain functional MRI at 7T using 3D EPI accelerated with variable density CAIPI sampling and temporal random walk.

Magnetic resonance in medicine·2025
Same author

High-Resolution Whole-Brain Diffusion Tensor Imaging Exploiting Rapid Single-Slab 3D EPI Strategy.

IEEE transactions on bio-medical engineering·2025
Same journal

A Comparison of Tissue Property Values Estimated Using Conventional Cardiac MRF and MT-Cardiac MRF.

Magnetic resonance in medicine·2026
Same journal

Dependence of the Extra-Cellular Diffusion Coefficient on the Fractions of Neurites and Cell Bodies in Gray Matter.

Magnetic resonance in medicine·2026
Same journal

Triple-Pulse <sup>23</sup>Na MRI Sequence (TriNa) for Simultaneous Acquisition of Spin-Density-Weighted and Fluid-Attenuated Images.

Magnetic resonance in medicine·2026
Same journal

Evaluation of Phantom Doping Materials in Quantitative Susceptibility Mapping.

Magnetic resonance in medicine·2026
Same journal

Design of an 8-Channel Transmit 32-Channel Receive 11.7T Head Coil and Evaluation of SNR Gains.

Magnetic resonance in medicine·2026
Same journal

The Potential for Absolute Temperature Imaging Based on Brain Metabolites Using an FID-Shifting Approach in Gradient Echo Planar Spectroscopic Imaging (GREPSI).

Magnetic resonance in medicine·2026
See all related articles

Related Experiment Video

Updated: Mar 12, 2026

Swin-PSAxialNet: An Efficient Multi-Organ Segmentation Technique
04:48

Swin-PSAxialNet: An Efficient Multi-Organ Segmentation Technique

Published on: July 5, 2024

852

SMS-HSL: Simultaneous multislice aliasing separation exploiting hankel subspace learning.

Suhyung Park1, Jaeseok Park1

  • 1Biomedical Imaging and Engineering Lab, Department of Biomedical Engineering, Sungkyunkwan University, Suwon, Republic of Korea.

Magnetic Resonance in Medicine
|November 17, 2016
PubMed
Summary
This summary is machine-generated.

A new simultaneous multislice reconstruction method, SMS-HSL, effectively separates aliasing artifacts in MRI. This Hankel subspace learning approach outperforms existing methods, especially at higher multiband factors.

Keywords:
Hankel matrixlow rankmagnetic resonance imagingparallel imagingsimultaneous multislice

More Related Videos

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
06:25

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Published on: February 12, 2014

8.9K
Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects
10:16

Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects

Published on: February 8, 2014

12.7K

Related Experiment Videos

Last Updated: Mar 12, 2026

Swin-PSAxialNet: An Efficient Multi-Organ Segmentation Technique
04:48

Swin-PSAxialNet: An Efficient Multi-Organ Segmentation Technique

Published on: July 5, 2024

852
Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
06:25

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Published on: February 12, 2014

8.9K
Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects
10:16

Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects

Published on: February 8, 2014

12.7K

Area of Science:

  • Magnetic Resonance Imaging (MRI) Reconstruction
  • Signal Processing
  • Medical Imaging Physics

Background:

  • Simultaneous multislice (SMS) imaging accelerates MRI acquisition by exciting and acquiring multiple slices concurrently.
  • Interslice leakage artifacts are a significant challenge in SMS imaging, degrading image quality.
  • Existing methods like split slice-GRAPPA struggle with artifact suppression under challenging conditions.

Purpose of the Study:

  • To develop and evaluate a novel simultaneous multislice reconstruction method, Hankel subspace learning (SMS-HSL).
  • To improve aliasing separation in the slice direction for enhanced SMS imaging.
  • To address limitations of current reconstruction techniques in artifact suppression.

Main Methods:

  • Proposed an SMS signal model utilizing Hankel-structured matrices.
  • Employed singular value decomposition to learn a null space for artifact suppression.
  • Reformulated SMS-HSL as a constrained optimization problem incorporating low-rank and magnitude priors.
  • Validated the method through simulations and experiments with multiband factors up to 6.

Main Results:

  • SMS-HSL demonstrated superior performance in suppressing aliasing artifacts and noise compared to split slice-GRAPPA.
  • The method showed effectiveness even with insufficient reference signals, a small number of coils, and short inter-slice distances.
  • Robust artifact suppression was observed at high multiband factors.

Conclusions:

  • Successfully demonstrated the effectiveness of SMS-HSL for aliasing separation in SMS MRI.
  • SMS-HSL offers a significant advancement over split slice-GRAPPA for challenging reconstruction scenarios.
  • The developed method enhances image quality in simultaneous multislice imaging.