Schematic diagram of our proposed scheme.

<p>Schematic diagram of our proposed scheme.</p

Comparison between our scheme and some typical (<i>k</i>, <i>n</i>)-SIS schemes.

<p>Comparison between our scheme and some typical (<i>k</i>, <i>n</i>)-SIS schemes.</p

Correlations between two adjacent pixels in the horizontal, vertical and diagonal directions.

<p>Correlations between two adjacent pixels in the horizontal, vertical and diagonal directions.</p

PSNR between the original image and its reconstructed image when noise exist.

<p>PSNR between the original image and its reconstructed image when noise exist.</p

Comparison of shadow sizes between our scheme and some existing SIS schemes.

<p>Comparison of shadow sizes between our scheme and some existing SIS schemes.</p

The graphical representation of the probabilistic model defined in Example 1.

The graphical representation of the probabilistic model defined in Example 1.</p

A screenshot of LPhy Studio showing the probabilistic graphical model on the left panel (constants hidden), and the auto-generated text description of the data and phylogenetic model on the right panel.

A screenshot of LPhy Studio showing the probabilistic graphical model on the left panel (constants hidden), and the auto-generated text description of the data and phylogenetic model on the right panel.</p

Correlation coefficients of adjacent pixels.

<p>Correlation coefficients of adjacent pixels.</p

Original secret image and the reconstructed images with different threshold value <i>k</i>.

<p>(B)PSNR = 3.0434dB; (C)PSNR = 2.4072dB; (D)PSNR = 11.786dB; (E)PSNR = 24.1027dB; (F)PSNR = 25.6763dB; (G)PSNR = 26.8478dB; (H)PSNR = 27.9183dB.</p

Supplementary Data Files

Species tree, gene tree and BEAST 2 XML files used for simulation studie