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Box-Counting 分形分析:临床医师入门。

Box-Counting Fractal Analysis: A Primer for the Clinician.

机构信息

School of Community Health, Charles Sturt University, Albury, Australia.

Department of Medical Sciences and Biotechnology Center, Khalifa University, Abu Dhabi, UAE.

出版信息

Adv Neurobiol. 2024;36:15-55. doi: 10.1007/978-3-031-47606-8_2.

Abstract

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.

摘要

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。

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