User-Friendly Image Sharing Using Polynomials with Different Primes

摘要

Recently, Thien and Lin proposed a user-friendly (k, n)-threshold scheme which employs Lagrange interpolation to produce shadow images representing a shrunken version of the original image. In this paper, we introduce a new framework which uses more (k - 1)-degree polynomials with different primes to enhance the functionality of the user-friendly (k, n)-threshold framework and obtain more effective performance for large k. Since the proposed framework significantly reduces reconstruction errors compared to the previously published user-friendly schemes, it is suitable for modern visual communication applications where features such as distributed trust, secure transmission and storage, fault tolerance, and high-quality image reconstruction are required.