Combine Application of Reversible Watermarking Technique and RSA Algorithm to Verify Ownership of Digital Images: A Hybrid Image Restoration Approach
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2026
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| author | Prasanta Kumar Sahoo, Debasis Gountia, and Ranjan Kumar Dash |
| author_facet | Prasanta Kumar Sahoo, Debasis Gountia, and Ranjan Kumar Dash |
| contents | <p>Recently reversible watermarking has lots of interest among data hiding techniques due to the property of complete restoration of original ground truth image from watermarked image without altering the original features. And these features are more useful for medical and military images, as these kinds of images are very sensitive to loss of little bits of information. So, we proposed a novel image restoration method. The proposed restoration scheme is a combination of Modified reversible watermarking algorithm and RSA algorithm. In this scheme the resultant watermarked image will be encrypted by RSA algorithm. For execution of RSA algorithm the watermarked image converted into 2-D array of bytes. The 2-D array of bytes is a matrix of discrete values. For encryption of these matrix values, randomly choose two large numbers say P and Q, out of n-numbers of discrete values, which are coprime to each other. Take the product of ‘P’ and ‘Q’ and store it on ‘n’, i.e. = × , in such a that the value of n must be within the length of graproduct in Φ, i.e. Φ= ( − ) × ( − ). For each iteration value of Φ choose an encryption exponent e and its value must satisfy < < and ( , ) = . On the other hand for decryption of encrypted values, select a decryption exponent ‘d’ such that it must satisfy < < and × = ( ). To avoid unauthentic access the key pairs: public key (n, e) and private or secret key (n, d) will be kept as secret. Here the decrypted image will be go through AMC algorithm for extraction of watermark image, as reversely applying of encryption process. Therefore it is an approach of image restoration technique. The performance matrix include, higher in capacity and quality with respect to number of Pixel changing rate (NPCR or NCPR) and unified averaged changed intensity (UACI) values, than traditional reversible watermarking techniques. It aims to enhance human visibility and accurately represent the image <br>of the original scene, i.e. restoration of a degraded image to its original content and quality. So, the proposed algorithm is a two-way locking mechanism to verify ownership.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18999399 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Combine Application of Reversible Watermarking Technique and RSA Algorithm to Verify Ownership of Digital Images: A Hybrid Image Restoration Approach Prasanta Kumar Sahoo, Debasis Gountia, and Ranjan Kumar Dash <p>Recently reversible watermarking has lots of interest among data hiding techniques due to the property of complete restoration of original ground truth image from watermarked image without altering the original features. And these features are more useful for medical and military images, as these kinds of images are very sensitive to loss of little bits of information. So, we proposed a novel image restoration method. The proposed restoration scheme is a combination of Modified reversible watermarking algorithm and RSA algorithm. In this scheme the resultant watermarked image will be encrypted by RSA algorithm. For execution of RSA algorithm the watermarked image converted into 2-D array of bytes. The 2-D array of bytes is a matrix of discrete values. For encryption of these matrix values, randomly choose two large numbers say P and Q, out of n-numbers of discrete values, which are coprime to each other. Take the product of ‘P’ and ‘Q’ and store it on ‘n’, i.e. = × , in such a that the value of n must be within the length of graproduct in Φ, i.e. Φ= ( − ) × ( − ). For each iteration value of Φ choose an encryption exponent e and its value must satisfy < < and ( , ) = . On the other hand for decryption of encrypted values, select a decryption exponent ‘d’ such that it must satisfy < < and × = ( ). To avoid unauthentic access the key pairs: public key (n, e) and private or secret key (n, d) will be kept as secret. Here the decrypted image will be go through AMC algorithm for extraction of watermark image, as reversely applying of encryption process. Therefore it is an approach of image restoration technique. The performance matrix include, higher in capacity and quality with respect to number of Pixel changing rate (NPCR or NCPR) and unified averaged changed intensity (UACI) values, than traditional reversible watermarking techniques. It aims to enhance human visibility and accurately represent the image <br>of the original scene, i.e. restoration of a degraded image to its original content and quality. So, the proposed algorithm is a two-way locking mechanism to verify ownership.</p> |
| title | Combine Application of Reversible Watermarking Technique and RSA Algorithm to Verify Ownership of Digital Images: A Hybrid Image Restoration Approach |
| url | https://doi.org/10.5281/zenodo.18999399 |