Mathematical Foundations in Visualization
Abstract
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.
Keywords
Cite
@article{arxiv.1909.04835,
title = {Mathematical Foundations in Visualization},
author = {Ingrid Hotz and Roxana Bujack and Christoph Garth and Bei Wang},
journal= {arXiv preprint arXiv:1909.04835},
year = {2019}
}
Comments
This is a preprint of a chapter for a planned book that was initiated by participants of the Dagstuhl Seminar 18041 ("Foundations of Data Visualization"). The book is expected to be published by Springer. The final book chapter will differ from this preprint