双曲重心坐标及其应用
An Introduction to Hyperbolic Barycentric Coordinates and their Applications
摘要:
重心坐标常用于欧几里德几何。重心坐标在双曲几何中的应用产生了双曲重心坐标,称为回转重心坐标。本文的目的是介绍从爱因斯坦的相对论容许速度的速度加法定律到双曲重心坐标的道路及其应用。
英文摘要:
Barycentric coordinates are commonly used in Euclidean geometry. The adaptation of barycentric coordinates for use in hyperbolic geometry gives rise to hyperbolic barycentric coordinates, known as gyrobarycentric coordinates. The aim of this article is to present the road from Einstein's velocity addition law of relativistically admissible velocities to hyperbolic barycentric coordinates along with applications.
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。