VSBSIS: A verifiable SVD-based secret image sharing scheme for lossless and efficient reconstruction

Abstract

Secret image sharing is a useful technique in various domains of image processing, like data hiding, image security, and visual authentication. It maintains the secrecy of an image by distributing it among many participants, known as shares. This article introduces a (n,n) singular value decomposition-based grayscale and color image-sharing techniques with verifiable and lossless reconstruction. A verifiable secret image sharing determines whether the reconstructed image is the original secret. The addition of all n shares is sufficient to reveal the secret image with no loss of information. Encryption before sharing and decryption after the addition of shares have been applied to resist information leakage of the reconstructed image by adding less than n shares. The verifiability, correctness, performance evaluation, and experimental security analysis of the proposed VSBSIS scheme have established its efficiency. Comparison with other contemporary polynomial-based secret image-sharing schemes demonstrates the efficient reconstruction of the proposed scheme.