函数P-集合与塑性信息图像生成

Function P-sets and Plastic Information Image Generation

函数P-集合是把函数概念引入到P-集合内,改进P-集合被提出的,函数P-集合具有规律(函数),动态特性。函数P-集合是由函数内P-集合S~与函数外P-集合S^F共同构成;或者(S~,S^F)是函数P-集合。这里:S~,S^F是有限函数集合。P-集合是把动态特性引入到有限普通集合X内,改进有限普通集合X得到的。利用函数P-集合给出规律生成与规律拆分概念,给出塑性信息图像生成与生成定理,给出塑性信息图像的属性特征;利用这些结果,给出塑性信息图像在图像隐藏技术中的应用。函数P-集合是研究动态信息系统的一个新的数学模型与数学方法。

The concept of function P-sets （function packet sets） is proposed by introducing function into and improving P-sets （packet sets）, and it has basic rules （function） and dynamic characteristics. Function P-sets is composed of the function internal P-set SF and the function outer P-set SF, or （SF,SF） is a function P-set, here Sr,Sr are finite function sets. By embedding dynamic characteristics into finite general set X and improving it, the concept of P-sets was obtained. Based on function P-sets, this paper presents the concepts such as law generation and law separation, plastic information image generation and generation theorem, attribute characteristics of plastic information image. By using these results, the application of plastic information image in image hiding technology is given. Function P-sets is a new mathematical method and a new mathematical model in the research of dynamic information systems.