基于二元多项式的秘密图像共享方案

Dan Tang, Jian Huang
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引用次数: 2

摘要

大多数秘密图像共享方案都遵循经典Shamir方案的思想,即基于单变量多项式的(k,n)阈值方案。这些方案继承了Shamir方案的优点,易于实现,都具有完美和理想等特点。但这些方案都将图像视为数据流,没有充分考虑到数字图像的矩阵特性。针对这种情况,本文提出了一种新的基于二元多项式的秘密图像共享方案,该方案除了具有Shamir方案的大部分优点外,还大大丰富了访问结构。最重要的是,新方案更适合图像处理。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Secret image sharing scheme based on bivariate polynomial
Most of secret image sharing schemes are follow the idea of classic Shamir scheme, namely the (k,n) threshold scheme based on one-variable polynomial. Which schemes succeed much advantages of the Shamir scheme, such as implentment easily, both have features of Perfect and Ideal and so on. But those schemes regard images as data stream, and not adequately consider the matrix characteristics of the digital image. In view of this situation, this paper proposed a new secret image sharing scheme based on bivariate polynomial, besides has most advantages of Shamir scheme, access structure in the new scheme has been greatly enriched. And the most important, the new scheme is much more suitable for image processing.
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