The rules of 4-dimensional perspective: How to implement Lorentz transformations in relativistic visualization
General Relativity and Quantum Cosmology
2021-11-19 v1
Abstract
This paper presents a pedagogical introduction to the issue of how to implement Lorentz transformations in relativistic visualization. The most efficient approach is to use the even geometric algebra in 3+1 spacetime dimensions, or equivalently complex quaternions, which are fast, compact, and robust, and straightforward to compose, interpolate, and spline. The approach has been incorporated into the Black Hole Flight Simulator, an interactive general relativistic ray-tracing program developed by the author.
Keywords
Cite
@article{arxiv.2111.09307,
title = {The rules of 4-dimensional perspective: How to implement Lorentz transformations in relativistic visualization},
author = {Andrew J. S. Hamilton},
journal= {arXiv preprint arXiv:2111.09307},
year = {2021}
}
Comments
13 pages, 2 figures. Invited keynote lecture at the ENGAGE 2021 workshop at the Computer Graphics International CGI 2021 conference, 6-10 Sep 2021