2D-Cosine级正弦合地图与碎形-斐波纳契融合用于超混乱的图像加密
1School of Electronics Engineering, VIT-AP University, Beside AP Secretariat, Amaravati, Andhra Pradesh, 522241, India.
Scientific reports
|January 9, 2026
概括
本研究介绍了一种新的图像加密框架,使用新的混乱地图 (2D-CPSCM) 和先进的扩散/编码技术. 该方法确保了敏感图像数据传输的高安全性和效率.
科学领域:
- 密码学和信息安全信息安全
- 应用数学 应用数学 应用数学
- 计算机科学 计算机科学
背景情况:
- 形象安全在医疗保健,国防和金融方面至关重要.
- 现有的加密方法在提供对复杂攻击的强大保护方面面临挑战.
- 违反形象完整性可能会导致严重后果.
研究的目的:
- 提出一种新的,高度安全和高效的图像加密框架.
- 为了引入一种新的混乱地图,即二维共因数功率正弦合地图 (2D-CPSCM),以增强随机性.
- 评估框架对各种加密和统计攻击的抵抗力.
主要方法:
- 一种混合加密方法,结合了 Fractal-Fibonacci 扩散与希尔伯特曲线,递归编码和 2D-CPSCM.
- 用利亚普诺夫指数和度 (样本,换,科尔摩戈罗夫) 来分析超混乱行为的2D-CPSCM.
- 在基准图像上进行了广泛的模拟,以评估关键灵敏度,扩散和稳定性.
主要成果:
- 2D-CPSCM表现出优越的统计特性和超混乱的行为.
- 通过 (7.9994),NPCR (99.6%),UACI (33.47%) 和NBCR (50%) 显示的高关键灵敏度.
- 通过SSIM和VIF值1确认的成功解密;输入和加密图像之间的低PSNR,SSIM和VIF值表明信息泄漏减少.
结论:
- 拟议的基于2D-CPSCM的图像加密框架提供了卓越的安全性,弹性和稳定性.
- 该系统有效抵御统计,噪音和裁剪攻击,使其适合安全的多媒体传输.
- 这种新的方法为需要高图像安全性的加密应用提供了有希望的解决方案.
相关概念视频
Properties of Fourier series II
520
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...
A function f(t) is...
520
Convergence of Fourier Series
366
The Fourier series is a powerful mathematical tool for representing periodic signals as an infinite sum of complex exponentials. In practice, this infinite series is truncated to a finite number of terms, yielding a partial sum. This truncation makes the approximation of the signal feasible but introduces certain challenges, particularly near discontinuities, known as the Gibbs phenomenon.
The Gibbs phenomenon refers to the persistent oscillations and overshoots that occur near discontinuities...
The Gibbs phenomenon refers to the persistent oscillations and overshoots that occur near discontinuities...
366
Basic signals of Fourier Transform
878
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...
The sinc function, defined as sinc(x) = sin(πx)/(πx), is particularly notable for its symmetry and behavior at...
878
Exponential Fourier series
649
In audio signal processing, the exponential Fourier series plays a crucial role in sound synthesis, allowing complex sounds to be broken down into simpler sinusoidal components. This decomposition process is fundamental in analyzing and reconstructing musical notes and other audio signals. The exponential Fourier series expresses periodic signals as the sum of complex exponentials at both positive and negative harmonic frequencies, providing a powerful tool for signal analysis.
Euler's identity...
Euler's identity...
649
Hyperbolic and Inverse Hyperbolic Functions: Problem Solving
4
An arched gate can be effectively modeled using a hyperbolic cosine profile because this type of function is smooth and symmetric about the vertical axis. When the arch is centered at the origin, its maximum height occurs at the center point. This symmetry ensures that any height below the crown of the arch is reached at two horizontal positions that are equal in distance from the centerline but lie on opposite sides.To determine where the gate reaches a height of five meters, the height of the...
4
Transformations of Functions III
170
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...
170


