不同坐标系下空间两球体关系的安全判定协议

摘要

如何将处于不同空间坐标系下的几何对象统一到相同空间坐标系下是合作过程中经常遇到的问题,为了保证双方安全与利益,合作双方都希望不泄露自身的私有输入信息.针对以上情况,首先提出并设计了隐私保护的不同空间坐标系下的两点距离计算协议,然后进一步设计了保护隐私的不同空间坐标系下两球体关系的判定协议,分析了协议的正确性、安全性和复杂性.在保护参与方私有输入信息的条件下,所设计的协议解决了不同空间坐标系下球体与球体之间的相对位置安全判定问题.%How to bring geometric objects of different spatial coordinates into the same spatial coordinate is a common problem during the cooperation of completing certain work. However, as related to their own security and interests, the partners both do not want to disclose their secret input. Therefore, firstly, a security protocol for distance measure of different spatial coordinates was proposed and designed. Furthermore, a security protocol for sphere-sphere relation of different spatial coordinates was developed. The correctness, security and efficiency of these two protocols were analyzed too. Having the private information of both sides protected, the problem of determining the relative position of sphere-sphere is successfully solved by using the proposed protocols.