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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.
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Updated: Aug 16, 2025

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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Fast Image Encryption Algorithm for Logistics-Sine-Cosine Mapping.

Pengfei Wang1, Yixu Wang1, Jiafu Xiang1

  • 1School of Computer Science, Yangtze University, Jingzhou 434023, China.

Sensors (Basel, Switzerland)
|December 23, 2022
PubMed
Summary
This summary is machine-generated.

A new fast image encryption algorithm uses logistics-sine-cosine mapping for efficient and secure color image protection. This method enhances security with improved entropy and diffusion, offering a safe solution for digital image transmission.

Keywords:
color imagediffusionimage encryptionlogistics-sine-cosinesubstitution

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Area of Science:

  • Computer Science
  • Cryptography
  • Image Processing

Background:

  • Networked images face external attack risks.
  • Traditional image encryption methods exhibit limitations like prolonged encryption times, inadequate entropy, and poor diffusion for color images.

Purpose of the Study:

  • To propose a novel, fast image encryption algorithm.
  • To address the limitations of traditional algorithms in color image encryption.
  • To enhance security features such as key sensitivity and plain-image sensitivity.

Main Methods:

  • Developed a fast image encryption algorithm utilizing logistics-sine-cosine mapping.
  • Generated five sets of encrypted sequences from the mapping.
  • Employed encryption sequence order for pixel scrambling and introduced a new pixel diffusion network.

Main Results:

  • Achieved an average encryption time of 0.479 seconds for the Lena image over 100 tests.
  • Cipher images demonstrated high information entropy (average 7.9994), pixel change rate (99.62%), and uniform average change intensity (33.48%).

Conclusions:

  • The proposed algorithm offers significantly reduced encryption time compared to traditional methods.
  • The resulting cipher images exhibit excellent information entropy and diffusion properties.
  • The algorithm is validated as a secure and effective solution for fast image encryption.