Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Fast Fourier Transform

Fast Fourier Transform

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...

Determination of Crystal Structures

Determination of Crystal Structures

In the late 1800s, the revelation that light extended beyond visible wavelengths led to the discovery of X-rays by Wilhelm Roentgen. Recognized as high-energy electromagnetic radiation with short wavelengths, X-rays prompted exploration into their interaction with crystals. Max von Laue proposed in 1912 that the periodic arrangement of atoms, ions, or molecules in crystals would cause them to diffract X-rays, a hypothesis confirmed through experiments with copper sulfate and zinc sulfide...

You might also read

Related Articles

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

Sort by

Same author

Pseudo-second-derivative matrix and its application to automatic lens design.

Applied optics·2010

See all related articles

Search research articles

Related Experiment Video

Updated: Jun 16, 2026

$Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene$

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

Published on: August 22, 2017

Fast MTF Calculation in the Presence of Diffraction.

|February 2, 2010

Summary

Calculating a lens

Area of Science:

Optical engineering
Image analysis

Background:

Calculating the Modulation Transfer Function (MTF) of a lens directly from its specifications is computationally intensive.
Traditional methods involve Fourier transforming the line spread function, a process that is time-consuming even with computer assistance.

Purpose of the Study:

To develop a more efficient method for calculating lens MTF.
To reduce the computational time required for MTF analysis from lens specifications.

Main Methods:

Constructing a mathematical model of the image formed by the lens.
Utilizing a model whose Fourier transform can be rapidly determined upon completion.

Main Results:

The developed method significantly reduces the time needed for MTF calculation.

More Related Videos

From Fast Fluorescence Imaging to Molecular Diffusion Law on Live Cell Membranes in a Commercial Microscope

From Fast Fluorescence Imaging to Molecular Diffusion Law on Live Cell Membranes in a Commercial Microscope

Published on: October 9, 2014

High Precision FRET at Single-molecule Level for Biomolecule Structure Determination

High Precision FRET at Single-molecule Level for Biomolecule Structure Determination

Published on: May 13, 2017

Related Experiment Videos

Last Updated: Jun 16, 2026

$Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene$

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

Published on: August 22, 2017

From Fast Fluorescence Imaging to Molecular Diffusion Law on Live Cell Membranes in a Commercial Microscope

From Fast Fluorescence Imaging to Molecular Diffusion Law on Live Cell Membranes in a Commercial Microscope

Published on: October 9, 2014

High Precision FRET at Single-molecule Level for Biomolecule Structure Determination

High Precision FRET at Single-molecule Level for Biomolecule Structure Determination

Published on: May 13, 2017

The mathematical model allows for near-instantaneous Fourier transform computation.

Conclusions:

The proposed image modeling approach offers a substantial improvement in computational efficiency for lens MTF analysis.
This method provides a faster alternative to traditional line spread function Fourier transform techniques for lens performance evaluation.