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

Atomic Force Microscopy01:08

Atomic Force Microscopy

4.7K
Atomic force microscopy (AFM) is a type of scanning probe microscopy that can analyze topographic details of various specimens like ceramics, glass, polymers, and biological samples. AFM offers over 1000 times more resolution than the optical imaging system. Images generated from AFM are three-dimensional surface profiles, offering an advantage over the flat, two-dimensional images from other imaging techniques.
The AFM Probe
The probe is regarded as the heart of any AFM setup and comprises the...
4.7K
Discrete Fourier Transform01:15

Discrete Fourier Transform

1.1K
The Discrete Fourier Transform (DFT) is a fundamental tool in signal processing, extending the discrete-time Fourier transform by evaluating discrete signals at uniformly spaced frequency intervals. This transformation converts a finite sequence of time-domain samples into frequency components, each representing complex sinusoids ordered by frequency. The DFT translates these sequences into the frequency domain, effectively indicating the magnitude and phase of each frequency component present...
1.1K
IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations01:08

IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations

2.3K
Identical bonds within a polyatomic group can stretch symmetrically (in-phase) or asymmetrically (out-of-phase). Similar to hydrogen bonding, these vibrations also influence the shape of the IR peak. Generally, asymmetric stretching frequencies are higher than symmetric stretching frequencies. For example, primary amines exhibit two distinct IR peaks between 3300–3500 cm−1 corresponding to the symmetric and asymmetric N-H stretching, while secondary amines exhibit a single...
2.3K
Fast Fourier Transform01:10

Fast Fourier Transform

1.2K
The Fast Fourier Transform (FFT) is a computational algorithm designed to compute the Discrete Fourier Transform (DFT) efficiently. By breaking down the calculations into smaller, manageable sections, the FFT significantly reduces the computational complexity involved. Direct computation of an N-point DFT requires N2 complex multiplications, whereas the FFT algorithm needs only (N/2)log⁡2N multiplications, offering a much faster performance.
The computational efficiency of the FFT becomes...
1.2K
Basic signals of Fourier Transform01:07

Basic signals of Fourier Transform

1.2K
The Fourier Transform is a pivotal mathematical tool in signal processing, enabling the transformation of time-domain signals into their frequency-domain representations. Among the numerous elements within this domain, certain functions like the sinc function, delta function, and exponential signals hold significant importance due to their unique properties and implications.
The sinc function, defined as sinc(x) = sin(πx)/(πx), is particularly notable for its symmetry and behavior at...
1.2K
Properties of Fourier series II01:21

Properties of Fourier series II

745
Time scaling of signals is a crucial concept in signal processing that affects the Fourier series representation without altering its coefficients. The process modifies the fundamental frequency, thereby changing how the series represents the signal over time. This principle is essential in various applications, including audio and image processing, where signal manipulation is frequent. Understanding function symmetries is fundamental to simplifying the Fourier series.
A function f(t) is...
745

You might also read

Related Articles

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

Sort by
Same author

Optimization of the Data Pattern and Analysis Algorithm for the T2-based Water Suppression Diffusion MRImaging (T2wsup-dMRI) Technique.

Magnetic resonance in medical sciences : MRMS : an official journal of Japan Society of Magnetic Resonance in Medicine·2025
Same author

Concise and Highly Stereoselective Synthesis of β,β-Disubstituted α,β-Unsaturated Esters.

Chemical & pharmaceutical bulletin·2025
Same author

Incidence of antiresorptive agent-related osteonecrosis of the jaw: A multicenter retrospective epidemiological study in Hyogo Prefecture, Japan.

Journal of dental sciences·2023
Same author

Construction of Acyclic All-Carbon Quaternary Stereocenter Based on Asymmetric Michael Addition of Chiral Amine.

Chemical & pharmaceutical bulletin·2021
Same author

Diffusion MR Imaging with T2-based Water Suppression (T2wsup-dMRI).

Magnetic resonance in medical sciences : MRMS : an official journal of Japan Society of Magnetic Resonance in Medicine·2021
Same author

Synthetic MRI with T<sub>2</sub>-based Water Suppression to Reduce Hyperintense Artifacts due to CSF-Partial Volume Effects in the Brain.

Magnetic resonance in medical sciences : MRMS : an official journal of Japan Society of Magnetic Resonance in Medicine·2020

Related Experiment Video

Updated: Apr 4, 2026

A Multimodal Wide-Field Fourier-Transform Raman Microscope
06:48

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

762

Magnitude-based Asymmetric Fourier Imaging (MagAFI).

Tokunori Kimura1, Takashi Shigeta

  • 1Clinical Application Research and Development Department, Center for Medical Research and Development, Toshiba Medical Systems Corporation.

Magnetic Resonance in Medical Sciences : MRMS : an Official Journal of Japan Society of Magnetic Resonance in Medicine
|September 9, 2015
PubMed
Summary

Two new asymmetric Fourier imaging (AFI) methods, magnitude-based AFI (MagAFI) and MagAFI with projection on to convex sets (POCS), reduce image errors. MagAFI offers a simple, effective alternative to conventional techniques for improved MRI quality.

More Related Videos

Author Spotlight: Introduction to Active Probe Atomic Force Microscopy with Quattro-Parallel Cantilever Arrays
05:04

Author Spotlight: Introduction to Active Probe Atomic Force Microscopy with Quattro-Parallel Cantilever Arrays

Published on: June 13, 2023

2.6K
Optimizing Magnetic Force Microscopy Resolution and Sensitivity to Visualize Nanoscale Magnetic Domains
07:42

Optimizing Magnetic Force Microscopy Resolution and Sensitivity to Visualize Nanoscale Magnetic Domains

Published on: July 20, 2022

3.5K

Related Experiment Videos

Last Updated: Apr 4, 2026

A Multimodal Wide-Field Fourier-Transform Raman Microscope
06:48

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

762
Author Spotlight: Introduction to Active Probe Atomic Force Microscopy with Quattro-Parallel Cantilever Arrays
05:04

Author Spotlight: Introduction to Active Probe Atomic Force Microscopy with Quattro-Parallel Cantilever Arrays

Published on: June 13, 2023

2.6K
Optimizing Magnetic Force Microscopy Resolution and Sensitivity to Visualize Nanoscale Magnetic Domains
07:42

Optimizing Magnetic Force Microscopy Resolution and Sensitivity to Visualize Nanoscale Magnetic Domains

Published on: July 20, 2022

3.5K

Area of Science:

  • Magnetic Resonance Imaging
  • Image Reconstruction
  • Signal Processing

Background:

  • Asymmetric Fourier Imaging (AFI) is crucial for accelerating MRI acquisition.
  • Conventional AFI methods can introduce phase errors, impacting image quality.
  • Improving the accuracy and robustness of AFI techniques is an ongoing challenge.

Purpose of the Study:

  • To introduce and evaluate two novel AFI techniques: magnitude-based AFI (MagAFI) and MagAFI combined with projection onto convex sets (POCS).
  • To assess the performance of MagAFI and MagAFI+POCS in reducing image errors compared to existing methods.
  • To determine if MagAFI can achieve high image quality without requiring phase information.

Main Methods:

  • Compared phase maps from asymmetrically sampled full k-space data with symmetrically sampled low-frequency k-space data.
  • Utilized 1D simulation and 3D gradient echo brain data from volunteers at two echo times.
  • Generated AFI images using zero-filling, Margosian (homodyne), Margosian+POCS, MagAFI, and MagAFI+POCS.

Main Results:

  • Confirmed that full k-space data yields smaller phase errors than symmetric low-frequency data.
  • MagAFI demonstrated reduced phase-induced errors compared to conventional methods like standard POCS.
  • MagAFI+POCS significantly enhanced image quality and robustness.

Conclusions:

  • The proposed MagAFI technique provides a practical balance of image quality and simplicity, outperforming conventional methods.
  • MagAFI, utilizing only zero-filled magnitude images, offers a simpler approach with better results.
  • Combining MagAFI with POCS further improves image quality and robustness for advanced MRI applications.