School of Community Health, Charles Sturt University, Albury, Australia.
Department of Medical Sciences and Biotechnology Center, Khalifa University, Abu Dhabi, UAE.
Adv Neurobiol. 2024;36:15-55. doi: 10.1007/978-3-031-47606-8_2.
This chapter lays out the elementary principles of fractal geometry underpinning much of the rest of this book. It assumes a minimal mathematical background, defines the key principles and terms in context, and outlines the basics of a fractal analysis method known as box counting and how it is used to perform fractal, lacunarity, and multifractal analyses. As a standalone reference, this chapter grounds the reader to be able to understand, evaluate, and apply essential methods to appreciate and heal the exquisitely detailed fractal geometry of the brain.
本章阐述了分形几何的基本原理,这些原理是本书其余部分的基础。它假设了一个最小的数学背景,在上下文中定义了关键的原则和术语,并概述了一种称为盒子计数的分形分析方法的基础知识,以及如何使用它来进行分形、空隙和多重分形分析。作为一个独立的参考,本章使读者能够理解、评估和应用基本方法,以欣赏和治疗大脑的精致的分形几何。