中文摘要：

随着三维扫描获取技术的快速发展，三维数字几何模型已经成为一种新兴的数字媒体，在多个领域取得了广泛的应用．针对数字几何进行高效、鲁棒的处理，也成为近年来计算机图形学研究的热点问题．文中针对数字几何处理研究领域内的若干研究方向，按照数字几何的建模、分析、优化、应用等流程，分别进行分析，以期使读者对三维数字几何处理的研究进展有全面的了解，并对未来的研究工作有切实的帮助．

英文摘要：

With the fast development of 3D scanning techniques, 3D models are nowadays intensively used as an emerging type of digital media. Techniques for efficient and robust processing of digital geometry have also become an active area of research in computer graphics. In this paper, several research topics in digital geometry processing field is discussed. These topics almost cover the whole pipeline about modeling, analysis, optimization and applications of digital geometry. The goal is to provide the readers with a comprehensive study of digital geometry processing and hopefully it is helpful to their future research.