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On the Use of the Fractal Box-Counting Dimension in Urban Planning

2018
Fractal geometry has found many applications in science and technology. Some time ago, it was used to study urban development. However, something that has not been addressed so far, to the best of our knowledge, is whether a drastic extension of some urban area also changes drastically the box-counting dimension of the area.
Konstantina Lantitsou   +2 more
openaire   +1 more source

LOCAL BOX-COUNTING TO DETERMINE FRACTAL DIMENSION OF HIGH-ORDER CHAOS

International Journal of Modern Physics C, 2000
To determine the attractor dimension of chaotic dynamics, the box-counting method has the difficulty in getting accurate estimates because the boxes are not weighted by their relative probabilities. We present a new method to minimize this difficulty.
Osaka, Motohisa, Ito, Nobuyasu
openaire   +1 more source

Specific emitter identification using fractal features based on box-counting dimension and variance dimension

2017 IEEE International Symposium on Signal Processing and Information Technology (ISSPIT), 2017
Specific emitter identification (SEI) is a technique for distinguishing different emitters of a same type with other weak individual characteristics. Only using some traditional modulation parameters for recognition cannot distinguish different emitters with close modulation parameters.
Longwen Wu   +4 more
openaire   +1 more source

On the box-counting dimension of graphs of harmonic functions on the Sierpiński gasket

Journal of Mathematical Analysis and Applications, 2020
Abhilash Sahu, Amit Priyadarshi
exaly  

Differential box counting methods for estimating fractal dimension of gray-scale images: A survey

Chaos, Solitons and Fractals, 2019
Chinmaya Panigrahy   +2 more
exaly  

A new method of estimation of the box-counting dimension of multivariate objects using space-filling curves

Nonlinear Analysis: Theory, Methods & Applications, 2005
Ewa Skubalska-Rafajlowicz
exaly  

Measurements of fractal dimension by box-counting: a critical analysis of data scatter

Physica A: Statistical Mechanics and Its Applications, 1998
Patrice Hildgen
exaly  

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