Results 11 to 20 of about 15,404 (265)
Remote Sensing, 2020 The Pearl River Estuary Area was selected for this study. For the past 40 years, it has been one of the most complex coasts in China, yet few studies have analyzed the complexity and variations of the area’s different coastlines.
Xinyi Hu, Yunpeng Wang
doaj +1 more source
Embedding properties of sets with finite box-counting dimension [PDF]
Nonlinearity, 2019 Submitted, Referres comments ...
Margaris, Alexandros, Robinson, James C.
openaire +2 more sources
Approximate resolutions and box-counting dimension
Topology and its Applications, 2003 The notion of approximate resolution was introduced and investigated in earlier papers of S. Mardešić and the authors [\textit{S. Mardešić} and \textit{T. Watanabe}, Glas. Mat., III. Ser. 24(44), 587--637 (1989; Zbl 0715.54009); \textit{T. Miyata} and \textit{T. Watanabe}, Topology Appl. 113, No. 1--3, 211--241 (2001; Zbl 0986.54033); \textit{T. Miyata}
Miyata, Takahisa, Watanabe, Tadashi
openaire +1 more source
Strict Inequality in the Box-Counting Dimension Product Formulas [PDF]
Real Analysis Exchange, 2013 The authors supplement the well-known upper and lower box-counting product inequalities. If we denote \(\dim_{LB} F\) and \(\dim_B F\) as the lower box-counting dimension and box-counting dimension of a set \(F\), respectively, then the authors obtain the following new formula: \[ \begin{aligned}\dim_{LB} F+\dim_{LB} G \leq \dim_{LB} (F\times G) \leq ...
Robinson, James C., Sharples, Nicholas
openaire +2 more sources
Combining Fractals and Box-Counting Dimension
Applied Mathematics, 2021 In this paper, the box-counting dimension is used to derive an explicit formula for the dimension of a fractal constructed using several contractions or by combining fractals. This dimension agrees with the Hausdorff dimension in the particular case when the scales factors considered are all the same.
openaire +2 more sources
Hydrology Research, 2020 In the past, a great deal of research has been conducted to determine the fractal properties of river networks, and there are many kinds of methods calculating their fractal dimensions. In this paper, we compare two most common methods: one is geomorphic
Xianmeng Meng +4 more
doaj +1 more source
Box-counting dimensions of generalised fractal nests [PDF]
Chaos, Solitons & Fractals, 2018 Fractal nests are sets defined as unions of unit $n$-spheres scaled by a sequence of $k^{-α}$ for some $α>0$. In this article we generalise the concept to subsets of such spheres and find the formulas for their box counting dimensions. We introduce some novel classes of parameterised fractal nests and apply these results to compute the dimensions ...
openaire +3 more sources
Advances in Mechanical Engineering, 2016 Aiming at the nonlinear and nonstationary characteristics of bearing vibration signals as well as the complexity of condition-indicating information distribution in the signals, a novel rolling element bearing fault diagnosis approach based on improved ...
Yunpeng Cao +4 more
doaj +1 more source
A BOX-COUNTING METHOD TO CHARACTERIZE DEGREES OF FOLIAGE CLUMPING USING AIRBORNE AND SIMULATED LIDAR DATA [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2015 Monitoring forest productivity and health is key to sustainable ecosystem management and informed decision making. A key parameter used in monitoring forest resources is the leaf area index (LAI), which is defined as the one-sided leaf area per unit ...
M. van Leeuwen +3 more
doaj +1 more source
Fractal Dimension Analysis of the Julia Sets of Controlled Brusselator Model
Discrete Dynamics in Nature and Society, 2016 Fractal theory is a branch of nonlinear scientific research, and its research object is the irregular geometric form in nature. On account of the complexity of the fractal set, the traditional Euclidean dimension is no longer applicable and the ...
Yuqian Deng +2 more
doaj +1 more source