<p>In the digital era, secure image transmission is crucial, and cryptographic techniques help to protect the digital images by converting them into encrypted formats. This paper proposes a novel image encryption scheme that utilizes transform domain signal processing and chaotic systems to enhance the security of digital color images. The method employs a two-dimensional Discrete Wavelet Transform to decompose the image, followed by permutation and substitution operations applied to each color channel. Control keys for these operations are dynamically generated using a hybrid of the Tinkerbell, Henon, and Gingerbreadman chaotic maps. The security and efficiency of the proposed algorithm are validated through extensive statistical analysis, including metrics such as Mean Squared Error (MSE), Peak Signal-to-Noise Ratio (PSNR), Structural Similarity Index Measure (SSIM), entropy, histogram analysis, and resistance to differential and cropping attacks. The algorithm demonstrates strong performance with a large keyspace of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="34_2025_3218_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="35" /> </InlineMediaObject> <EquationSource Format="TEX">\(10^{152}\)</EquationSource> </InlineEquation>, MSE as low as 0, PSNR reaching <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="34_2025_3218_Article_IEq2.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\(\infty \)</EquationSource> </InlineEquation>, and an ideal SSIM value of 1. Entropy values are up to 7.9998 which is very close to its ideal value of 8, and NPCR and UACI are near their ideal values of 99% and 33%, respectively, confirming the method’s robustness and suitability for secure image encryption.</p>

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Transform Domain Based Digital Color Image Encryption Using Multi Chaotic Maps

  • Anand B. Joshi,
  • Sonali Singh

摘要

In the digital era, secure image transmission is crucial, and cryptographic techniques help to protect the digital images by converting them into encrypted formats. This paper proposes a novel image encryption scheme that utilizes transform domain signal processing and chaotic systems to enhance the security of digital color images. The method employs a two-dimensional Discrete Wavelet Transform to decompose the image, followed by permutation and substitution operations applied to each color channel. Control keys for these operations are dynamically generated using a hybrid of the Tinkerbell, Henon, and Gingerbreadman chaotic maps. The security and efficiency of the proposed algorithm are validated through extensive statistical analysis, including metrics such as Mean Squared Error (MSE), Peak Signal-to-Noise Ratio (PSNR), Structural Similarity Index Measure (SSIM), entropy, histogram analysis, and resistance to differential and cropping attacks. The algorithm demonstrates strong performance with a large keyspace of \(10^{152}\) , MSE as low as 0, PSNR reaching \(\infty \) , and an ideal SSIM value of 1. Entropy values are up to 7.9998 which is very close to its ideal value of 8, and NPCR and UACI are near their ideal values of 99% and 33%, respectively, confirming the method’s robustness and suitability for secure image encryption.