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

Properties of Fourier series II01:21

Properties of Fourier series II

640
Time scaling of signals is a crucial concept in signal processing that affects the Fourier series representation without altering its coefficients. The process modifies the fundamental frequency, thereby changing how the series represents the signal over time. This principle is essential in various applications, including audio and image processing, where signal manipulation is frequent. Understanding function symmetries is fundamental to simplifying the Fourier series.
A function f(t) is...
640
Separable Differential Equations01:20

Separable Differential Equations

145
A separable differential equation is a type of first-order differential equation where the derivative dy/dx can be expressed as a product of two functions: one that depends only on x and another that depends only on y. This allows for the rearrangement of the equation so that all terms involving y are on one side, and all terms involving x are on the other. This process, known as the separation of variables, simplifies the process of solving the equation by enabling the integration of both...
145
Even and Odd Signals01:17

Even and Odd Signals

2.3K
An even signal, whether in continuous-time or discrete-time, is defined by its symmetry with its time-reversed version. Mathematically, this is represented as
2.3K
Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

4.2K
Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
4.2K
Linear time-invariant Systems01:23

Linear time-invariant Systems

978
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
978
Convolution Properties I01:20

Convolution Properties I

633
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:
633

You might also read

Related Articles

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

Sort by
Same author

Research progress and trends of Mycoplasma pneumoniae pneumonia in children: a bibliometric and visualization analysis (1990s to post-COVID-19 era).

Pediatric research·2026
Same author

[A reweighted graph matching-based algorithm for automatic extraction of corresponding landmarks in medical images].

Sheng wu yi xue gong cheng xue za zhi = Journal of biomedical engineering = Shengwu yixue gongchengxue zazhi·2026
Same author

Hsa_circ_0077658 serves as a potential diagnostic biomarker for severe pneumonia in children and alleviates lipopolysaccharide-induced damage to bronchial epithelial cells by modulating the miR-15a-5p/NF1 axis.

BMC immunology·2026
Same author

Identifying risk factors for adverse drug reactions in HIV/AIDS patients using LASSO regression modeling.

BMC infectious diseases·2026
Same author

MultiGSA: wind power prediction based on a multi-scale cross-graph network combined with an enhanced simple attention mechanism.

Scientific reports·2026
Same author

Disease severity modifies the ceftazidime-avibactam exposure-response relationship in critically ill patients: a retrospective study.

Frontiers in pharmacology·2026

Related Experiment Video

Updated: Feb 22, 2026

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

43.7K

A semi-symmetric image encryption scheme based on the function projective synchronization of two hyperchaotic

Xiaoqiang Di1, Jinqing Li1, Hui Qi1

  • 1School of Computer Science and Technology, Changchun University of Science and Technology, Changchun, JiLin Province, China.

Plos One
|September 15, 2017
PubMed
Summary

This article introduces a new hybrid image encryption method that blends symmetric and asymmetric techniques. By using synchronized chaotic systems, the researchers eliminate the need to send secret keys over potentially insecure channels, thereby reducing the risk of data theft.

Keywords:
cryptographyimage processingneural networksdata security

Frequently Asked Questions

More Related Videos

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

9.0K
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

16.1K

Related Experiment Videos

Last Updated: Feb 22, 2026

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

43.7K
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

9.0K
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

16.1K

Area of Science:

  • Cryptographic protocols within function projective synchronization research
  • Information security engineering and computational complexity

Background:

No prior work had resolved the inherent trade-offs between symmetric and asymmetric image encryption methods. Symmetric systems offer speed but require secure key distribution channels. Asymmetric models provide better key management yet often suffer from slower processing times. That uncertainty drove the development of hybrid approaches to balance these competing requirements. Prior research has shown that chaotic systems can generate highly unpredictable sequences for data protection. However, existing implementations often rely on vulnerable key exchange protocols. This gap motivated the exploration of synchronization techniques to bypass direct key transmission. Researchers sought to integrate the benefits of both traditional paradigms into a single robust framework.

Purpose Of The Study:

The aim of this study is to develop a semi-symmetric image encryption scheme that integrates the advantages of symmetric and asymmetric methods. The researchers seek to overcome the disadvantages associated with traditional key transmission protocols. They focus on utilizing chaos synchronization to eliminate the need for insecure key exchange links. The project addresses the vulnerability of key leakage during standard communication processes. By formulating a hybrid algorithm, the authors intend to improve both the security and efficiency of image protection. They investigate the function projective synchronization between two specific hyperchaotic systems. The work explores how independent key generation can enhance overall system robustness. This research provides a new perspective on balancing speed and security in digital data encryption.

Main Methods:

The team adopted a computational design approach to evaluate the proposed encryption framework. They formulated the mathematical control laws governing the interaction between the response and drive systems. The researchers implemented a 3-cell quantum cellular neural network as the response component. A 6th-order cellular neural network served as the drive component for the synchronization process. They executed numerical simulations to observe the behavior of these coupled systems. The investigators applied both scrambling and diffusion operations to test image data. They conducted rigorous security assessments including differential attack simulations. Finally, they calculated information entropy to quantify the randomness of the encrypted outputs.

Main Results:

The proposed scheme successfully achieves synchronization between the response and drive systems without requiring external key transmission. Numerical simulations confirm the feasibility of the hybrid scrambling and diffusion stages. The researchers report that the algorithm exhibits high resistance against differential attacks. Information entropy analysis indicates that the encrypted images possess strong statistical properties. The study shows that the 3-cell quantum cellular neural network effectively tracks the 6th-order cellular neural network. The results indicate that the method maintains efficiency while providing robust security. The authors observe that the independent key generation process prevents leakage during communication. These findings validate the performance of the semi-symmetric architecture under controlled testing conditions.

Conclusions:

The authors demonstrate that their hybrid approach effectively mitigates risks associated with traditional key exchange. By utilizing synchronized chaotic systems, the framework ensures that both parties generate keys independently. This design successfully eliminates the requirement for insecure transmission links. The study confirms that the proposed algorithm maintains high security against common differential attacks. Numerical simulations verify the efficiency of the scrambling and diffusion stages. The researchers suggest that their method provides a viable alternative to standard encryption architectures. These findings highlight the potential of chaotic synchronization in modern information protection. Future applications may leverage this architecture to enhance privacy in digital image communication.

The researchers utilize function projective synchronization between a 3-cell quantum cellular neural network and a 6th-order cellular neural network. This mechanism allows two parties to generate identical keys independently, removing the need for insecure key transmission channels.

The algorithm employs a hybrid structure consisting of a scrambling stage and a diffusion stage. This dual-layer approach ensures that both the spatial arrangement and the pixel values of the image are thoroughly obscured.

The authors formulate a specific control law and update rule to synchronize the response and drive systems. This mathematical formulation is necessary to maintain precise alignment between the two distinct hyperchaotic systems.

The system uses two different chaotic models to derive keys independently. This role of independent generation prevents key leakage, as no sensitive information travels across external communication links.

The researchers perform information entropy analysis and differential attack testing. These measurements confirm that the scheme maintains high levels of randomness and resistance against unauthorized decryption attempts.

The authors propose that their semi-symmetric design successfully combines the speed of symmetric encryption with the robust key management features of asymmetric systems. This synthesis addresses the limitations inherent in using either approach alone.