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

Continuous -time Fourier Transform

Continuous -time Fourier Transform

The Fourier series is instrumental in representing periodic functions, offering a powerful method to decompose such functions into a sum of sinusoids. This technique, however, necessitates modification when applied to nonperiodic functions. Consider a pulse-train waveform consisting of a series of rectangular pulses. When these pulses have a finite period, they can be accurately represented by a Fourier series. Yet, as the period approaches infinity, resulting in a single, isolated pulse, the...

Discrete Fourier Transform

Discrete Fourier Transform

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...

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...

You might also read

Related Articles

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

Sort by

Same author

Glaucine suppresses IL-16/CD4 to alleviate neuropathic pain via spinal p56<sup>lck</sup>-NMDA receptor signaling.

Naunyn-Schmiedeberg's archives of pharmacology·2025

Same author

Spatially Programmed Confinement Catalysis Enables High-Performance Magnesium Hydrogen Storage.

Nano letters·2025

Same author

Effect of electroacupuncture on postoperative gastrointestinal dysfunction in patients with perioperative oesophageal cancer: study protocol for a randomised controlled trial.

BMJ open·2025

Same author

Cellular and molecular mechanisms of seahorse male pregnancy.

Nature ecology & evolution·2025

Same author

Assembling L-malic acid and Co-MOF in ultrasonically synthesized pectin/gelatin films: A versatile food preservation composite film.

Food chemistry·2025

Same author

Exploring the prognostic value of T cell exhaustion and mitochondrial dysfunction related genes in breast cancer through bioinformatics analysis and RT-qPCR validation.

Clinical and experimental medicine·2025

Same journal

Erratum: Low-dimensional model for adaptive networks of spiking neurons [Phys. Rev. E 111, 014422 (2025)].

Physical review. E·2026

Same journal

Disentangling the effects of many-body forces on depletion interactions.

Physical review. E·2026

Same journal

Charge transport and mode transition in dual-energy electron beam diodes.

Physical review. E·2026

Same journal

Optimization of multisite reactions in complex compartmentalized media.

Physical review. E·2026

Same journal

Origin of geometric cohesion in nonconvex granular materials: Interplay between interdigitation and rotational constraints enhancing frictional stability.

Physical review. E·2026

Same journal

Interaction of walkers with a standing Faraday wave.

Physical review. E·2026

See all related articles

Search research articles

Related Experiment Video

Updated: Jun 30, 2026

Dynamic Pore-scale Reservoir-condition Imaging of Reaction in Carbonates Using Synchrotron Fast Tomography

Dynamic Pore-scale Reservoir-condition Imaging of Reaction in Carbonates Using Synchrotron Fast Tomography

Published on: February 21, 2017

Fast Fourier transform and support-shift techniques for pore-scale microstructure classification using additive

Han Jiang¹, Christoph H Arns¹

¹School of Minerals and Energy Resources Engineering, The University of New South Wales, Sydney, Australia.

Physical Review. E

|April 16, 2020

Summary

This summary is machine-generated.

This study introduces fast numerical techniques to calculate Minkowski functionals for analyzing 3D microstructures. These methods accurately classify heterogeneous materials and reveal internal structures from large datasets like those from x-ray tomography.

More Related Videos

Pore-scale Imaging and Characterization of Hydrocarbon Reservoir Rock Wettability at Subsurface Conditions Using X-ray Microtomography

Pore-scale Imaging and Characterization of Hydrocarbon Reservoir Rock Wettability at Subsurface Conditions Using X-ray Microtomography

Published on: October 21, 2018

Morphology-Based Distinction Between Healthy and Pathological Cells Utilizing Fourier Transforms and Self-Organizing Maps

Morphology-Based Distinction Between Healthy and Pathological Cells Utilizing Fourier Transforms and Self-Organizing Maps

Published on: October 28, 2018

Related Experiment Videos

Last Updated: Jun 30, 2026

Dynamic Pore-scale Reservoir-condition Imaging of Reaction in Carbonates Using Synchrotron Fast Tomography

Dynamic Pore-scale Reservoir-condition Imaging of Reaction in Carbonates Using Synchrotron Fast Tomography

Published on: February 21, 2017

Pore-scale Imaging and Characterization of Hydrocarbon Reservoir Rock Wettability at Subsurface Conditions Using X-ray Microtomography

Pore-scale Imaging and Characterization of Hydrocarbon Reservoir Rock Wettability at Subsurface Conditions Using X-ray Microtomography

Published on: October 21, 2018

Morphology-Based Distinction Between Healthy and Pathological Cells Utilizing Fourier Transforms and Self-Organizing Maps

Morphology-Based Distinction Between Healthy and Pathological Cells Utilizing Fourier Transforms and Self-Organizing Maps

Published on: October 28, 2018

Area of Science:

Materials Science
Computational Geometry
Image Analysis

Background:

Minkowski functionals (volume, surface area, mean curvature, total curvature) are additive morphological measures in 3D.
These functionals quantify microstructure and relate to physical properties, especially for Boolean process-generated structures.
Calculating these measures directly from discrete structure vertices is possible.

Purpose of the Study:

To introduce fast numerical techniques for deriving regional Minkowski measures over large 3D datasets.
To apply these techniques for microstructure classification and analysis.
To demonstrate the utility of 3D feature fields derived from Minkowski functionals.

Main Methods:

Utilized the additivity property of Minkowski functionals for efficient computation.
Developed fast numerical techniques for calculating regional Minkowski measures.
Applied multivariate Gaussian mixture models for microstructure classification.

Main Results:

Successfully derived fields of regional Minkowski measures for large 3D datasets.
Demonstrated accurate recovery of internal boundaries for spatially heterogeneous Boolean processes.
Achieved compact partition extraction with clear layering for thin-bedded sandstone.

Conclusions:

The developed fast numerical techniques enable efficient analysis of 3D microstructures using Minkowski functionals.
These methods are effective for classifying heterogeneous microstructures and revealing their internal organization.
The approach accurately recovers structural features in complex materials like sandstones.