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

Interference and Diffraction02:18

Interference and Diffraction

52.5K
Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
52.5K
Trigonometric Fourier series01:17

Trigonometric Fourier series

806
Fourier series is a foundational mathematical technique that decomposes periodic functions into an infinite series of sinusoidal harmonics. This method enables the representation of complex periodic signals as sums of simple sine and cosine functions, facilitating their analysis and interpretation in various fields, including signal processing, acoustics, and electrical engineering.
The trigonometric Fourier series specifically expresses a periodic function with a defined period T using sine...
806
Convergence of Fourier Series01:21

Convergence of Fourier Series

406
The Fourier series is a powerful mathematical tool for representing periodic signals as an infinite sum of complex exponentials. In practice, this infinite series is truncated to a finite number of terms, yielding a partial sum. This truncation makes the approximation of the signal feasible but introduces certain challenges, particularly near discontinuities, known as the Gibbs phenomenon.
The Gibbs phenomenon refers to the persistent oscillations and overshoots that occur near discontinuities...
406
Fast Fourier Transform01:10

Fast Fourier Transform

950
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...
950
X-ray Diffraction of Biological Samples01:10

X-ray Diffraction of Biological Samples

4.8K
X-ray diffraction or XRD is an analytical tool that utilizes X-rays to study ordered structures such as crystalline organic and inorganic samples, polycrystalline materials, proteins, carbohydrates, and drugs.
According to Bragg's law, when X-rays strike the sample positioned on a stage, the rays are  scattered by the electron clouds around the sample atoms. The  X-ray diffraction or scattering is caused by constructive interference of the X-ray waves that reflect off the internal...
4.8K
Exponential Fourier series01:24

Exponential Fourier series

750
In audio signal processing, the exponential Fourier series plays a crucial role in sound synthesis, allowing complex sounds to be broken down into simpler sinusoidal components. This decomposition process is fundamental in analyzing and reconstructing musical notes and other audio signals. The exponential Fourier series expresses periodic signals as the sum of complex exponentials at both positive and negative harmonic frequencies, providing a powerful tool for signal analysis.
Euler's identity...
750

You might also read

Related Articles

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

Sort by
Same author

Amlodipine Besylate-Folic Acid demonstrates superior efficacy to Enalapril Maleate-Folic Acid in treating H-type hypertension.

American journal of translational research·2026
Same author

Fast registration method for sequential star images.

Applied optics·2023
Same author

Fully connected aperture array design of the segmented planar imaging system.

Optics letters·2022
Same author

Single photonic integrated circuit imaging system with a 2D lens array arrangement.

Optics express·2022
Same author

Star Identification Based on Multilayer Voting Algorithm for Star Sensors.

Sensors (Basel, Switzerland)·2021
Same author

System design of an optical interferometer based on compressive sensing: an update.

Optics express·2020

Related Experiment Video

Updated: Feb 5, 2026

Fourier-Based Diffraction Analysis of Live Caenorhabditis elegans
08:24

Fourier-Based Diffraction Analysis of Live Caenorhabditis elegans

Published on: September 13, 2017

8.3K

Sub-Diffraction Visible Imaging Using Macroscopic Fourier Ptychography and Regularization by Denoising.

Zhixin Li1,2, Desheng Wen3, Zongxi Song4

  • 1Xi'an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi'an 710119, China. lizhixin2015@opt.cn.

Sensors (Basel, Switzerland)
|September 21, 2018
PubMed
Summary
This summary is machine-generated.

Fourier ptychography (FP) imaging overcomes diffraction limits. A new framework enhances FP for macroscopic imaging by reducing speckle noise, improving results without extra computation.

Keywords:
Fourier optics and signal processingFourier ptychographycomputational imagingphase retrievalsub-diffraction visible imaging

More Related Videos

Microcrystal Electron Diffraction of Small Molecules
09:48

Microcrystal Electron Diffraction of Small Molecules

Published on: March 15, 2021

7.2K
A Technique to Functionalize and Self-assemble Macroscopic Nanoparticle-ligand Monolayer Films onto Template-free Substrates
08:09

A Technique to Functionalize and Self-assemble Macroscopic Nanoparticle-ligand Monolayer Films onto Template-free Substrates

Published on: May 9, 2014

11.4K

Related Experiment Videos

Last Updated: Feb 5, 2026

Fourier-Based Diffraction Analysis of Live Caenorhabditis elegans
08:24

Fourier-Based Diffraction Analysis of Live Caenorhabditis elegans

Published on: September 13, 2017

8.3K
Microcrystal Electron Diffraction of Small Molecules
09:48

Microcrystal Electron Diffraction of Small Molecules

Published on: March 15, 2021

7.2K
A Technique to Functionalize and Self-assemble Macroscopic Nanoparticle-ligand Monolayer Films onto Template-free Substrates
08:09

A Technique to Functionalize and Self-assemble Macroscopic Nanoparticle-ligand Monolayer Films onto Template-free Substrates

Published on: May 9, 2014

11.4K

Area of Science:

  • Optics and Photonics
  • Coherent Imaging
  • Super-resolution Microscopy

Background:

  • Fourier ptychography (FP) enables sub-diffraction imaging but is limited by laser speckle noise in macroscopic setups.
  • Existing phase retrieval algorithms struggle with noise, hindering long-range, high-resolution imaging applications.

Purpose of the Study:

  • To develop a novel Fourier ptychography reconstruction framework for macroscopic visible imaging.
  • To address limitations of current methods in handling speckle noise for extended range imaging.

Main Methods:

  • Implementation of a reweighted amplitude flow algorithm for improved signal modeling.
  • Integration of the Regularization by Denoising (RED) scheme to mitigate speckle noise effects.

Main Results:

  • The proposed method achieves state-of-the-art performance in both visual and quantitative metrics.
  • Demonstrated robustness against speckle noise in macroscopic imaging scenarios.

Conclusions:

  • The novel FP framework offers a flexible and effective solution for macroscopic super-resolution imaging.
  • The approach enhances image quality and extends the applicability of FP to new domains without increased computational cost.