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

Principle of Moments01:20

Principle of Moments

1.7K
The principle of moments, also known as Varignon's theorem, is a fundamental concept in physics and engineering that describes the equilibrium of a rigid body under the influence of external forces. The principle states that the moment of a force about a point is equal to the sum of the moments of the components of the force about the same point.
The moment is calculated by multiplying the magnitude of the force by the perpendicular distance from the point of application to the point about...
1.7K
Convolution Properties I01:20

Convolution Properties I

143
Convolution computations can be simplified by utilizing their inherent properties.
The commutative property reveals that the input and the impulse response of an LTI (Linear Time-Invariant) system can be interchanged without affecting the output:
143
Convolution Properties II01:17

Convolution Properties II

178
The important convolution properties include width, area, differentiation, and integration properties.
The width property indicates that if the durations of input signals are T1 and T2, then the width of the output response equals the sum of both durations, irrespective of the shapes of the two functions. For instance, convolving two rectangular pulses with durations of 2 seconds and 1 second results in a function with a width of 3 seconds.
The area property asserts that the area under the...
178
Resultant Moment: Vector Formulation01:30

Resultant Moment: Vector Formulation

3.1K
When a force is applied to an object, the tendency of the object to rotate about a point is known as its moment. If multiple forces are acting on an object, the sum of moments of all the forces acting on a body can be expressed as the resultant moment of the system. The resultant moment can be considered a vector quantity that can be added and subtracted like any other vector.
The resultant moment of a system of forces can be calculated through vector formulation. For example, if we consider...
3.1K
Inverse z-Transform by Partial Fraction Expansion01:20

Inverse z-Transform by Partial Fraction Expansion

312
The inverse z-transform is a crucial technique for converting a function from its z-domain representation back to the time domain. One effective method for finding the inverse z-transform is the Partial Fraction Method, which involves decomposing a function into simpler fractions with distinct coefficients. These fractions correspond to known z-transform pairs, facilitating the inverse transformation process.
To begin the process, the poles of the function are identified and the function is...
312
Convolution: Math, Graphics, and Discrete Signals01:24

Convolution: Math, Graphics, and Discrete Signals

239
In any LTI (Linear Time-Invariant) system, the convolution of two signals is denoted using a convolution operator, assuming all initial conditions are zero. The convolution integral can be divided into two parts: the zero-input or natural response and the zero-state or forced response, with t0 indicating the initial time.
To simplify the convolution integral, it is assumed that both the input signal and impulse response are zero for negative time values. The graphical convolution process...
239

You might also read

Related Articles

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

Sort by
Same author

Sliding mode control gain optimization for a robot arm manipulator using an improved stochastic framework.

Scientific reports·2026
Same author

Performance enhancement of THz antenna with dielectric resonator and prediction bandwidth using machine learning approach for 6G applications.

Scientific reports·2026
Same author

Decentralized graph attention multi-agent reinforcement learning for adaptive urban traffic routing.

Scientific reports·2026
Same author

Neural stem cell delivery of oncolytic CRAd-S-pk7 immunotherapy for stage 3 ovarian cancer: Dose-regimen studies.

Molecular therapy. Oncology·2026
Same author

Multi-Chaotic HEOA for Hardware-Aware Neural Architecture Search: Brain Tumor Classification on FPGA.

Sensors (Basel, Switzerland)·2026
Same author

Synthesis of Sm- and Eu- MOFs from 2,5-Diaminoterephthalic Acid for Selective Cationic Dye Adsorption and Luminescent Sensing of Nitroaromatic Compounds.

Inorganic chemistry·2026

Related Experiment Video

Updated: Jun 17, 2025

Characterization of Anisotropic Leaky Mode Modulators for Holovideo
09:36

Characterization of Anisotropic Leaky Mode Modulators for Holovideo

Published on: March 19, 2016

8.0K

An improved reversible watermarking scheme using embedding optimization and quaternion moments.

Mohamed Amine Tahiri1, Hicham Karmouni2, Mhamed Sayyouri1

  • 1Engineering, Systems and Applications Laboratory, National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, Fez, Morocco.

Scientific Reports
|August 9, 2024
PubMed
Summary

This study introduces a robust digital watermarking system for color images using quaternary Charlier moments and chaotic maps. The novel method enhances security and invisibility for copyright protection.

Keywords:
Digital image watermarkingHenon chaotic mapOptimization algorithmQuaternion moments

More Related Videos

Quantifying Intermembrane Distances with Serial Image Dilations
07:45

Quantifying Intermembrane Distances with Serial Image Dilations

Published on: September 28, 2018

6.4K
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

11.6K

Related Experiment Videos

Last Updated: Jun 17, 2025

Characterization of Anisotropic Leaky Mode Modulators for Holovideo
09:36

Characterization of Anisotropic Leaky Mode Modulators for Holovideo

Published on: March 19, 2016

8.0K
Quantifying Intermembrane Distances with Serial Image Dilations
07:45

Quantifying Intermembrane Distances with Serial Image Dilations

Published on: September 28, 2018

6.4K
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

11.6K

Area of Science:

  • Computer Science
  • Digital Image Processing
  • Cryptography

Background:

  • Digital watermarking is crucial for image copyright protection and security.
  • Existing methods often require complex image decomposition and face robustness challenges.

Purpose of the Study:

  • To develop an innovative and robust digital watermarking system for color images.
  • To improve security, storage capacity, and resistance to attacks while maintaining invisibility.

Main Methods:

  • Extension of Charlier moments to quaternary Charlier moments (QCM) using quaternion algebra.
  • Application of Discrete Wavelet Transform (DWT) and algebraic decompositions (QR, SVD).
  • Integration of a modified Henon's 2D chaotic map and an arithmetic optimization algorithm.

Main Results:

  • The proposed system demonstrates superior performance compared to existing color image watermarking methods.
  • Achieved high levels of security, storage capacity, and robustness against various attacks.
  • Maintained a high degree of invisibility for the embedded watermark.

Conclusions:

  • The novel watermarking system offers an effective solution for secure and robust digital image protection.
  • The combination of QCM, DWT, algebraic decomposition, and chaotic systems significantly enhances watermarking performance.
  • This approach provides a promising direction for future research in digital image security.