Figure 1.
Proposed (3,3) MSS meaningful scheme for grayscale images (a)–(c) Secret images G1–G3. (d)–(f) Cover images C1–C3. (g)–(i) Meaningful share images S1–S3. (j)–(l) Recovered secret images .
Figure 2.
Proposed (2,2) MSS meaningful scheme for color images (a, b) Secret images G1 and G2. (c, d) Cover images C1–C2. (e, f) Meaningful share images S1–S2. (g, h) Recovered secret images and .
Figure 3.
Proposed MSS meaningful scheme for computer-synthesized images. (a)–(c) Secret images G1–G3. (d)–(f) Cover images C1–C3. (g)–(i) Meaningful share images S1–S3. (j)–(l) Recovered secret images .
Table 1.
Comparison between Related MSS Schemes and the Proposed Scheme.
| Type of image | Symmetric function | Sharing capacity | Quality of recovery | Share type | Management efficiency | |
|---|---|---|---|---|---|---|
| [1] | Binary, Gray | No | (n, n + 1) | Lossless | Meaningless | Low |
| [2] | Gray | No | (n, n) | Lossless | Meaningless | Low |
| [3] | Gray | No | (n, n) | Lossless | Meaningless | Low |
| [4] | Gray | Yes | (n, n) | High quality | Meaningless | Low |
| [5] | Gray | Yes | (t, n) GAS | Lossless | Meaningless | Low |
| [6] | Gray | Yes | (n, n) | Lossless | Meaningless | Low |
| The Proposed Scheme | Gray | Yes | (n, n) | High quality | Meaningful | High |
Table 2.
Comparison between Related Meaningful and Multiple Share-based MSS Schemes and the Proposed Scheme.
| Parameters | [20] | [21] | [24] | [23] | The Proposed Scheme |
|---|---|---|---|---|---|
| Type of image | Gray | Gray | Binary | Binary | Gray |
| Decoding method | Boolean [OR, AND, XOR] | Boolean [XOR] | Random grid | Boolean [XOR] | Boolean [XOR] |
| Sharing capacity Share type | (n, 3n) Meaningful | (n, n + 1) Meaningful and Meaningless | (n, 2) Meaningful | (n, n) Meaningful | (n, n) Meaningful |
| Average PSNR between meaningful shares and cover images | 57 dB (2n shares), Infinity (n shares) | 17.28 dB | < 11 dB | < 10 dB | 33 dB |
| Average PSNR between secret and recovered images | Infinity | 68 dB | Low | < 22 dB | 34.72 dB |
| Management efficiency | Low | Low | High | High | High |