USING EPSILON HULLS TO CHARACTERIZE AND CLASSIFY TOTALLY DISCONNECTED SIERPINSKI RELATIVES

被引：3

作者：

Taylor, T. D. ^{[1
]}

机构：

[1] St Francis Xavier Univ, Dept Math Stat & Comp Sci, Antigonish, NS B2G 2W5, Canada

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2015年 / 23卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Sierpinski Relatives; Iterated Function Systems; Connectivity; Epsilon Hulls; CONNECTIVITY;

D O I：

10.1142/S0218348X15500152

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents an investigation of the use of epsilon-hulls to characterize and classify the totally disconnected Sierpinski relatives. These fractals all have the same fractal dimension, and the same topologies, but the epsilon-hulls provide ways to distinguish between such relatives. Examples of specific relatives are presented to illustrate the theory.

引用

页数：11

共 12 条

[1] CONVEX HULLS OF SIERPINSKI RELATIVES
Taylor, T. D.
Rowley, S.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2018, 26 (06)
[2] On totally disconnected generalised Sierpinski carpets
Cristea, Ligia L.
Steinsky, Bertran
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2014, 57 (01): : 27 - 34
[3] LIPSCHITZ EQUIVALENCE OF TOTALLY DISCONNECTED GENERAL SIERPINSKI TRIANGLES
Zhu, Zhi-Yong
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2015, 23 (02)
[4] BAR-CODES OF SIERPINSKI RELATIVES WITH TRIANGLE CONVEX HULLS
Taylor, T. D.
Rouse, S.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (09)
[5] EXAMPLES OF USING BINARY CANTOR SETS TO STUDY THE CONNECTIVITY OF SIERPINSKI RELATIVES
Taylor, T. D.
Hudson, C.
Anderson, A.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2012, 20 (01) : 61 - 75
[6] Using Morphology and Phylogeny to Characterize and Classify Fungi: Fungal Diversity Notes
YANG Mei
BulletinoftheChineseAcademyofSciences, 2020, 34 (02) : 118 - 119
[7] A NEW CLASSIFICATION OF NON-OVERLAPPING SYMMETRIC BINARY FRACTAL TREES USING EPSILON HULLS
Taylor, T. D.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2009, 17 (03) : 365 - 384
[8] A systematic approach to classify and characterize genomic islands driven by conjugative mobility using protein signatures
Audrey, Bioteau
Cellier, Nicolas
White, Frederique
Jacques, Pierre-Etienne
Burrus, Vincent
NUCLEIC ACIDS RESEARCH, 2023, 51 (16) : 8402 - 8412
[9] Using seabed acoustic imagery to characterize and classify seabed sediment types in the pockmark area of the North Yellow Sea, China
Tang, Qiuhua
Liu, Xiaoyu
Ji, Xue
Li, Jie
Chen, Yilan
Lu, Bo
APPLIED ACOUSTICS, 2021, 174
[10] A Novel Approach to Classify and Characterize Body Type of Chinese Female Adults by Using Principal Component Analysis and Dynamic Cluster Algorithm
Hu, Xiao-Li
Zhang, Wei-Yuan
Zhang, Wen-Bin
PROCEEDINGS OF THE FIBER SOCIETY 2009 SPRING CONFERENCE, VOLS I AND II, 2009, : 1293 - 1297

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