Abstract:Current progressive secret image sharing schemes do not consider cheating attacks by dishonest participants, allowing them to use false shadow images for cheating attacks. To ensure successful progressive reconstruction, this study divides the bit plane of pixels into two parts and uses the Lagrange interpolation algorithm along with visual cryptography schemes to address this issue. The sliding window of the pixel bit plane is determined by a pseudo-random number, and authentication information is embedded into the sliding window through a filtering operation to achieve authentication capability. Additionally, different strategies for bit plane division produce different progressive reconstruction effects, enabling more flexible progressive reconstruction. Theoretical analysis and experimental results both demonstrate the effectiveness of the proposed scheme.