可视化的数学基础
Mathematical Foundations in Visualization
摘要：
数学概念和工具已经从根本上塑造了可视化领域，并在各种可视化技术的发展中发挥了关键作用。在这一章中，我们抽样可视化文献，提供一个分类的数学可视化的使用，并确定一套基本的数学，应该教给学生的一部分，介绍当代可视化研究。在本章的范围内，我们无法全面回顾可视化的所有数学基础;相反，我们确定了一些在可视化中有用的概念，解释了它们的意义，并为进一步阅读提供了参考。
英文摘要：
Mathematical concepts and tools have shaped the field of visualization in fundamental ways and played a key role in the development of a large variety of visualization techniques. In this chapter, we sample the visualization literature to provide a taxonomy of the usage of mathematics in visualization, and to identify a fundamental set of mathematics that should be taught to students as part of an introduction to contemporary visualization research. Within the scope of this chapter, we are unable to provide a full review of all mathematical foundations of visualization; rather, we identify a number of concepts that are useful in visualization, explain their significance, and provide references for further reading.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
