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

Phasor Arithmetics01:13

Phasor Arithmetics

980
Phasors and their corresponding sinusoids are interrelated, offering unique insights into the behavior of alternating current (AC) circuits. One way to understand this relationship is through the operations of differentiation and integration in both the time and phasor domains.
When the derivative of a sinusoid is taken in the time domain, it transforms into its corresponding phasor multiplied by j-omega (jω) in the phasor domain, where j is the imaginary unit, and ω is the angular...
980
Fast Fourier Transform01:10

Fast Fourier Transform

1.3K
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...
1.3K
Basic signals of Fourier Transform01:07

Basic signals of Fourier Transform

1.3K
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...
1.3K
Polar Coordinates01:24

Polar Coordinates

645
The polar coordinate system offers an alternative to the Cartesian coordinate system for specifying points in a plane, using a distance and an angle instead of x and y coordinates. This system is particularly advantageous in situations involving circular or rotational symmetry, such as in physics or engineering problems involving waves, oscillations, or orbital paths.Defining Polar CoordinatesIn polar coordinates, a point is represented as P(r, ��), where r is the radial distance...
645
Harmonic Mean01:09

Harmonic Mean

5.2K
The arithmetic mean is usually skewed towards the larger values in the data set. Therefore, to avoid this inherent bias towards smaller values, the harmonic mean is used.
Take the example of the speed of a car, which is the measure of the rate of distance traveled. If the vehicle traverses the same distance back-and-forth, its average speed equals the total distance traveled divided by the total time taken. However, if the car moves with varying speeds, then the arithmetic mean is more skewed...
5.2K
Reconstruction of Signal using Interpolation01:10

Reconstruction of Signal using Interpolation

918
Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next...
918

You might also read

Related Articles

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

Sort by
Same author

Automatic segmentation of high pressure frozen and freeze-substituted mouse retina nuclei from FIB-SEM tomograms.

Journal of structural biology·2016
Same author

Projection-based polygonality measurement.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2014
Same author

gEMpicker: a highly parallel GPU-accelerated particle picking tool for cryo-electron microscopy.

BMC structural biology·2013
Same author

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

Journal of structural biology·2013
Same author

Optimal classifier fusion in a non-bayesian probabilistic framework.

IEEE transactions on pattern analysis and machine intelligence·2009
Same author

A new way to detect arrows in line drawings.

IEEE transactions on pattern analysis and machine intelligence·2008
Same journal

Style-Aware Contrastive Test-Time Adaptation: A Dual-Cache Model for Robust Vision-Language Alignment.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same journal

Semantic Frame Interpolation.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same journal

Physics-Guided Cross-Modal Decoupling with Test-Time Adaptation for Hyperspectral Image Restoration.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same journal

Change-Prior-Guided Unsupervised Change Detection of Heterogeneous Remote Sensing Images.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same journal

AgonicDreamer: Enhancing Multi-View Consistency in Text-to-3D Generation via Rectified Score Distillation.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same journal

BiCM-Prompt: Bidirectional Cross-Modal Prompt Tuning for Class-Incremental Learning on Multisource Remote Sensing Images.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
See all related articles

Related Experiment Video

Updated: Apr 29, 2026

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

9.8K

Fast generic polar harmonic transforms.

Thai V Hoang, Salvatore Tabbone

    IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
    |May 20, 2014
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces faster methods for computing polar harmonic transforms, which extract rotation-invariant image features. These novel strategies significantly outperform existing techniques, making polar harmonic transforms the fastest rotation-invariant feature extraction method available.

    More Related Videos

    Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
    09:01

    Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

    Published on: April 4, 2017

    7.8K
    Fabrication Procedures and Birefringence Measurements for Designing Magnetically Responsive Lanthanide Ion Chelating Phospholipid Assemblies
    09:38

    Fabrication Procedures and Birefringence Measurements for Designing Magnetically Responsive Lanthanide Ion Chelating Phospholipid Assemblies

    Published on: January 3, 2018

    6.9K

    Related Experiment Videos

    Last Updated: Apr 29, 2026

    A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
    07:56

    A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

    Published on: September 5, 2019

    9.8K
    Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
    09:01

    Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

    Published on: April 4, 2017

    7.8K
    Fabrication Procedures and Birefringence Measurements for Designing Magnetically Responsive Lanthanide Ion Chelating Phospholipid Assemblies
    09:38

    Fabrication Procedures and Birefringence Measurements for Designing Magnetically Responsive Lanthanide Ion Chelating Phospholipid Assemblies

    Published on: January 3, 2018

    6.9K

    Area of Science:

    • Computer Vision
    • Image Processing
    • Pattern Recognition

    Background:

    • Generic polar harmonic transforms (PHTs) offer rotation-invariant features for image analysis.
    • Current PHT computation methods are inefficient, hindering their practical application.
    • Existing rotation-invariant methods often lack the speed required for real-time processing.

    Purpose of the Study:

    • To develop novel, efficient computation strategies for generic polar harmonic transforms.
    • To accelerate the extraction of rotation-invariant features from images using PHTs.
    • To establish PHTs as the fastest method for rotation-invariant feature extraction.

    Main Methods:

    • Exploited recurrence relations in complex exponential and trigonometric functions within PHT kernels.
    • Developed recursive and addition chain-based algorithms for fast kernel computation.
    • Compared proposed methods against direct computation and Zernike moments (q-recursive strategy).

    Main Results:

    • Achieved approximately 10x speedup compared to direct PHT computation.
    • Demonstrated a 5x speedup over the fast computation of Zernike moments.
    • Confirmed PHTs as the most rapid rotation-invariant feature extraction technique.

    Conclusions:

    • The proposed novel computation strategies significantly enhance the speed of polar harmonic transforms.
    • These advancements position polar harmonic transforms as the leading method for fast, rotation-invariant image feature extraction.
    • The findings pave the way for broader adoption of PHTs in pattern recognition and computer vision applications.