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Related Concept Videos

Fast Fourier Transform01:10

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...
Accelerating Fluids01:17

Accelerating Fluids

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Discrete Fourier Transform01:15

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...
Density00:56

Density

Density is an important characteristic of substances, crucial in determining whether an object sinks or floats in a fluid. Its SI unit is kg/m3, and its cgs unit is g/cm3. The density of an object helps in identifying its composition, and also reveals information about the phase of the matter and its substructure. The densities of liquids and solids are roughly comparable, consistent with the fact that their atoms are in close contact. However, gases have much lower densities than liquids and...
Continuous -time Fourier Transform01:11

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...
Uniform Depth Channel Flow01:27

Uniform Depth Channel Flow

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Related Experiment Video

Updated: May 7, 2026

High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques
11:34

High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques

Published on: December 3, 2013

gEMfitter: a highly parallel FFT-based 3D density fitting tool with GPU texture memory acceleration.

Thai V Hoang1, Xavier Cavin, David W Ritchie

  • 1Inria Nancy - Grand Est, 54600 Villers-lès-Nancy, France.

Journal of Structural Biology
|September 25, 2013
PubMed
Summary
This summary is machine-generated.

gEMfitter accelerates protein structure fitting into cryo-electron microscopy (cryo-EM) density maps using graphics processor units (GPUs). This highly parallel program significantly speeds up atomic modeling of large macromolecular assemblies.

Keywords:
Cryo-EM density fittingFast Fourier transformGraphics processor unitLaplacian filterNormalised cross-correlationParallel processingTexture memory

Related Experiment Videos

Last Updated: May 7, 2026

High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques
11:34

High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques

Published on: December 3, 2013

Area of Science:

  • Structural biology
  • Computational biology
  • Biophysics

Background:

  • Accurate atomic modeling of macromolecular assemblies from cryo-electron microscopy (cryo-EM) data is crucial.
  • Fitting high-resolution protein structures into low-resolution cryo-EM density maps presents computational challenges.

Purpose of the Study:

  • To develop and present gEMfitter, a novel, highly parallel program for fitting atomic structures into cryo-EM density maps.
  • To leverage graphics processor unit (GPU) hardware for accelerated correlation searches in cryo-EM density fitting.

Main Methods:

  • Developed gEMfitter, a highly parallel fast Fourier transform (FFT) based program.
  • Utilized GPU texture memory for efficient rotation of 3D voxel grids, minimizing rotation costs.
  • Implemented a parallel processing framework to scale speed-up with the number of CPUs or GPUs.

Main Results:

  • Achieved up to a 26-fold speed-up compared to single-core CPU-based 3D correlation.
  • Demonstrated linear increase in speed-up with the number of processing units (CPUs/GPUs).
  • Obtained satisfactory fitting results for the GroEL-GroES complex using locally normalized cross-correlation with a Laplacian pre-filter, significantly outperforming existing methods like COLORES.

Conclusions:

  • gEMfitter enables routine use of robust 3D correlation techniques for cryo-EM density fitting.
  • The GPU-accelerated approach dramatically reduces computation time, making complex modeling feasible.
  • This advancement facilitates more accurate and efficient atomic modeling of large biological assemblies.