网格参数化是计算机图形学和数字几何处理的基本工具,有着广泛的应用背景.对网格参数化的研究进展进行了综述,主要从参数域和参数化质量两个方面介绍了网格参数化的研究现状.根据参数域的不同,讨论了平面参数化、基网格参数化、球面参数化以及曲面间的交叉参数化;根据参数化质量的不同,介绍了保长度的参数化、保特征的参数化以及致力于参数域简单的参数化.对参数化进行了分类介绍和讨论分析,概括介绍了每类方法的主要思想,讨论了每类方法的主要特性,对其中一些方法进行了比较分析,并对参数化方法存在的难点问题和未来可能的研究方向进行了总结,以期对参数化的研究进展有全面的了解.

Mesh parameterization is a powerful computer graphics and geometry processing tool with applications on numerous computer graphics. In this paper, a survey of recent advances in mesh parameterization is presented. This survey reviews different techniques, classifying them based on parameter domain usage and parameterization quality. Based on different parameter domain, it discusses planar parameterization techniques, parameterization methods for domains such as simplicial complexes and spheres, as well as methods for cross-parameterization between mesh surfaces. Based on different parameterization quality, it describes methods for minimizing metric distortion, maintaining alignment to mesh features and improving domain simplicity. It summarizes the main ideas of different techniques, discusses their core properties and compares some techniques to other techniques available. Also it presents a list of open research problems that require further work. This survey aims to provide the readers with a comprehensive study of mesh parameterization.

国家自然科学基金(61202148, 61332015, 61373078, 61272245); 国家自然科学和广东联合基金重点支持项目(U1201258)