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

Transformations of Functions III01:20

Transformations of Functions III

Transformations modify the graphical representation of a function without changing its fundamental form. One common transformation is reflection, which flips the graph across a designated axis. When the vertical coordinates of all points are multiplied by the negative one, the entire graph is mirrored over the horizontal axis. This transformation reverses the vertical orientation of peaks and troughs, akin to signal inversion in electrical systems, where a waveform is flipped, but the timing of...
Properties of Fourier Transform II01:24

Properties of Fourier Transform II

The Fourier Transform (FT) is an essential mathematical tool in signal processing, transforming a time-domain signal into its frequency-domain representation. This transformation elucidates the relationship between time and frequency domains through several properties, each revealing unique aspects of signal behavior.
The Frequency Shifting property of Fourier Transforms highlights that a shift in the frequency domain corresponds to a phase shift in the time domain. Mathematically, if x(t) has...
Two-Dimensional (2D) NMR: Overview01:12

Two-Dimensional (2D) NMR: Overview

The 1D NMR spectrum of large and complex molecules like natural products has complicated splitting patterns and overlapping signals, which can be easily interpreted using 2-dimensional (2D) NMR. Unlike 1D NMR, 2D NMR has two frequency axes that provide the coupling information between the nucleus A and nucleus B in a molecule. The process from which 2D spectra are obtained has four steps.
The first step is the preparation period, during which nucleus A is excited with a radiofrequency pulse.
Cylinders in Three-Dimensional Space01:28

Cylinders in Three-Dimensional Space

A cylindrical surface is generated when a two-dimensional profile curve is translated along a straight line in three-dimensional space. The translated copies of the curve form a surface composed of parallel rulings, each oriented in the same fixed direction. This construction allows many three-dimensional forms to be described using relatively simple planar equations.In Cartesian coordinates, a cylindrical surface is often recognized by an equation that omits one of the three variables. For...
Interference and Diffraction02:18

Interference and Diffraction

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.
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...

You might also read

Related Articles

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

Sort by
Same author

High-efficiency arbitrary array generator.

Applied optics·2010
Same author

Multichannel single-output color pattern recognition by use of a joint-transform correlator.

Applied optics·2010
Same author

Two-dimensional wavelet transform by wavelength multiplexing.

Applied optics·2010
Same author

Two-dimensional wavelet processor.

Applied optics·2010
Same author

Single-channel polychromatic pattern recognition by the use of a joint-transform correlator.

Applied optics·2010
Same author

Wavelet-transform-based composite filters for invariant pattern recognition.

Applied optics·2010
Same journal

Multifunctional reconfigurable terahertz metasurface based on vanadium dioxide phase transition: achieving broadband absorption and efficient polarization conversion.

Applied optics·2026
Same journal

High-Q-factor electromagnetically induced transparency utilizing quasi-bound states in the continuum in an all-dielectric terahertz metasurface.

Applied optics·2026
Same journal

Automated stitching interferometry for high-precision metrology of X-ray mirrors.

Applied optics·2026
Same journal

Experimental demonstration of an approach to designing a metal-dielectric DBR resonant cavity structure.

Applied optics·2026
Same journal

High-precision wavefront reconstruction from a single-shot interferogram using a physics-driven hybrid feature calibration network.

Applied optics·2026
Same journal

Ultra-high-Q Fano resonance based on coupled topological corner states in Kagome photonic crystals.

Applied optics·2026
See all related articles

Related Experiment Video

Updated: Jun 8, 2026

Optical Scatter Microscopy Based on Two-Dimensional Gabor Filters
14:58

Optical Scatter Microscopy Based on Two-Dimensional Gabor Filters

Published on: June 2, 2010

Optical realization of the wavelet transform for two-dimensional objects.

D Mendlovic, N Konforti

    Applied Optics
    |September 22, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study demonstrates real-time wavelet transformations for 2D objects using a coherent correlator and a multireference matched filter. Experiments show successful implementation with a spatial light modulator for real-time processing.

    More Related Videos

    Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
    11:00

    Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

    Published on: July 19, 2016

    Related Experiment Videos

    Last Updated: Jun 8, 2026

    Optical Scatter Microscopy Based on Two-Dimensional Gabor Filters
    14:58

    Optical Scatter Microscopy Based on Two-Dimensional Gabor Filters

    Published on: June 2, 2010

    Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
    11:00

    Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

    Published on: July 19, 2016

    Area of Science:

    • Optics and Photonics
    • Image Processing
    • Signal Analysis

    Background:

    • Wavelet transformations are crucial for analyzing signals and images at different scales and locations.
    • Conventional methods for wavelet transformations can be computationally intensive and slow.
    • Real-time processing is essential for many dynamic applications in image analysis and pattern recognition.

    Purpose of the Study:

    • To implement real-time wavelet transformations of two-dimensional objects.
    • To utilize a conventional coherent correlator with a multireference matched filter for this purpose.
    • To demonstrate the feasibility of real-time wavelet analysis using optical methods.

    Main Methods:

    • Implementing real-time wavelet transformations using a coherent optical correlator.
    • Employing a multireference matched filter to encode different daughter wavelets.
    • Spatially multiplexing daughter wavelets using distinct reference-beam directions.
    • Utilizing a spatial light modulator at the input plane to achieve real-time processing.

    Main Results:

    • Successful real-time wavelet transformations of two-dimensional objects were achieved.
    • The use of a multireference matched filter enabled the multiplexing of various daughter wavelets.
    • Experimental validation confirmed the real-time capability with a spatial light modulator.

    Conclusions:

    • The proposed method effectively implements real-time wavelet transformations using optical techniques.
    • Coherent correlators with multireference matched filters are suitable for real-time wavelet analysis.
    • This approach offers a viable solution for real-time image and signal processing applications.