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An asymmetric and optimized encryption method to protect the confidentiality of 3D mesh model

机译：保护3D网格模型机密性的非对称优化加密方法

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摘要

3D models are widely used in computer graphics, design and manufacture engineering, art animation and entertainment. With the universal of acquisition equipment and sensors, a huge number of 3D models are generated, which are becoming the major source of engineering data. How to preserve the privacy of the 3D models is a challenge issue. In this paper, an asymmetric and optimized encryption method is presented to protect the 3D mesh models. Firstly, we propose an asymmetric encryption method for 3D mesh models to overcome the drawbacks of traditional symmetric encryption. The primary benefit is that our approach can enhance the security of the key. Secondly, we extend the typically asymmetric encryption algorithm from integer domain to float domain. In our method, we present a normalization function to map the float DC (Discrete Cosine) coefficients to integer domain. Thirdly, considering that the shape error and encryption/decryption computation cost are contradictory in the normalization mapping, we formulate the contradiction as a multi-objective optimization problem. And then, we propose a multi-objective solution to find an optimized mapping range for encryption/decryption efficiently. Furthermore, benefiting from the proposed asymmetric encryption framework, we continue to put forward a method to check the integrity of the encrypted 3D mesh model, in which the digest is encrypted twice to generate digital signature more safely. The proposed method has been tested on 3D mesh models from Stanford university and other sources to demonstrate the effect of the proposed encryption method and optimization mechanism.
机译：3D模型广泛用于计算机图形，设计和制造工程，艺术动画和娱乐。随着采集设备和传感器的普及，生成了大量的3D模型，这些模型正成为工程数据的主要来源。如何保护3D模型的隐私是一个挑战性的问题。本文提出了一种非对称优化加密方法来保护3D网格模型。首先，我们提出了一种用于3D网格模型的非对称加密方法，以克服传统对称加密的缺点。主要好处是我们的方法可以增强密钥的安全性。其次，我们将典型的非对称加密算法从整数域扩展到浮点域。在我们的方法中，我们提供了一个归一化函数来将浮点DC（离散余弦）系数映射到整数域。第三，考虑到形状误差和加密/解密计算成本在规范化映射中是矛盾的，我们将该矛盾表述为多目标优化问题。然后，我们提出了一种多目标解决方案，以有效地找到优化的映射范围以进行加密/解密。此外，得益于提出的非对称加密框架，我们继续提出一种检查加密的3D网格模型完整性的方法，其中摘要被加密两次以更安全地生成数字签名。已在斯坦福大学和其他来源的3D网格模型上对提出的方法进行了测试，以证明提出的加密方法和优化机制的效果。

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