Progressive Secret Sharing with Adaptive Priority and Perfect Reconstruction
Abstract
:1. Introduction
- Identity:
- Performing XOR over “odd number” times:
- Performing XOR over “even number” times:
- Symmetric Inverse:
- Commutative:
- Associative:
2. Former PVSS Scheme
2.1. PVSS Scheme for Binary Image
Algorithm 1: Former Scheme [15]. |
Input: Secret image in binary format, , of size |
Number of shared images, |
Output: A set of generated shared images, , each of size |
Step 1: Based on priority weight , determine the location set , for . |
Step 2: For Each Pixel . Based on information , select two shared images and . Do |
Step 3: |
Step 4:If, then |
Step 5: Else |
Step 6: For Each other shared images, , with condition and Do |
Step 7: |
Step 8: Obtain generated shared images, |
2.2. Limitation of PVSS Scheme
3. Proposed PVSS Method
3.1. Proposed Bitwise-Based PVSS Method
Algorithm 2: Proposed Bitwise-Based PVSS Method. |
Input: Secret image in binary format, , of size |
Number of shared images, |
Output: A set of generated shared images, , each of size |
Step 1: Based on priority weight , determine the location set , for . |
Step 2: For Each Pixel . Based on information of , select two shared images and . Do |
Step 3: |
Step 4: If , Then |
Step 5: Else |
Step 6: For Each Generated shared images, , with the condition and Do |
Step 7: |
Step 8: Obtain generated shared images, |
3.2. Proposed XOR-ed Based PVSS Method
Algorithm 3: Proposed XOR-ed Based PVSS Method. |
Input: A grayscale or color image as secret, , of size |
Number of shared images, |
Output: Full set of generated shared images, , each of size |
Step 1: Based on priority weight , determine the location set , for . |
Step 2: For Each Pixel Position . Based on the information in , decide the selected shared images and . Do |
Step 3: |
Step 4: |
Step 5: |
Step 6: For Each other generated shared images, , under the condition and Do |
Step 7: |
Step 8: Obtain the generated shared images, |
4. Experimental Results
4.1. Performance Evaluation
4.2. Visual Evaluation on Binary Image
4.3. Visual Investigation on Grayscale Image
4.4. Visual Assessment of Color Image
4.5. Performance Comparisons in Terms of Objective Image Quality Assessment
4.6. Comparison of Algorithm Aspects for the Proposed Method and Other Schemes
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Method | Share Style | Encoding Matrix | Pixel Expansion | Adaptive Priority | Quality |
---|---|---|---|---|---|
Fang’s Scheme [9] | Noise-Like Form | Require | Need | No | Lossless for is even |
Wang’s Scheme [10] | Noise-Like Form | Require | Need | No | - |
Hou’s Scheme [11] | Noise-Like Form | Require | No | No | - |
Hou’s Scheme [12] | Noise-Like Form | Require | No | Adaptive Priority | Lossy |
Lin’s Scheme [13] | Friendly Appearance | No | No | No | Lossy |
Yang’s Scheme [14] | Noise-Like Form | Require | No | Adaptive Priority | Lossy |
Former Scheme [15] | Noise-Like Form | No | No | Adaptive Priority | Lossy, if is oddLossless, if is even |
Prasetyo’s Scheme [16] | Noise-Like Form | No | No | No | Lossless for is odd or even |
Proposed Method | Noise-Like Form | No | No | Adaptive Priority | Lossless for is odd or even |
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Prasetyo, H.; Hsia, C.-H.; Wicaksono Hari Prayuda, A. Progressive Secret Sharing with Adaptive Priority and Perfect Reconstruction. J. Imaging 2021, 7, 70. https://doi.org/10.3390/jimaging7040070
Prasetyo H, Hsia C-H, Wicaksono Hari Prayuda A. Progressive Secret Sharing with Adaptive Priority and Perfect Reconstruction. Journal of Imaging. 2021; 7(4):70. https://doi.org/10.3390/jimaging7040070
Chicago/Turabian StylePrasetyo, Heri, Chih-Hsien Hsia, and Alim Wicaksono Hari Prayuda. 2021. "Progressive Secret Sharing with Adaptive Priority and Perfect Reconstruction" Journal of Imaging 7, no. 4: 70. https://doi.org/10.3390/jimaging7040070