Results 1 to 10 of about 153,301 (238)

A Box-Counting Method with Adaptable Box Height for Measuring the Fractal Feature of Images [PDF]

open access: yesRadioengineering, 2013
Most of the existing box-counting methods for measuring fractal features are only applicable to square images or images with each dimension equal to the power of 2 and require that the box at the top of the box stack of each image block is of the same ...
Min Long, Fei Peng
doaj   +2 more sources

On distance sets, box-counting and Ahlfors-regular sets [PDF]

open access: yesDiscrete Analysis, 2017
On distance sets, box-counting and Ahlfors-regular sets, Discrete Analysis 2017:9, 22 pp. A well-known problem of Falconer, a sort of continuous analogue of the Erdős distinct-distance problem, asks how large the Hausdorff dimension of a Borel subset of
Pablo Shmerkin
doaj   +4 more sources

The microscopic characteristics of particle matter and image algorithm based on fractal theory [PDF]

open access: yesE3S Web of Conferences, 2022
The effects of ash and sulfur content on the morphology of particulate matter (PM) in diesel particle filter (DPF) were investigated with five different components of lubricants. The aggregate morphology of primary particles in diesel were analyzed using
Tan Piqiang   +4 more
doaj   +1 more source

An Improved 3D Box-Counting Dimension Computing Technology for Estimating the Complexity of 3D Models

open access: yesIEEE Access, 2022
The box-counting dimension, which can effectively reflect the complexity and self-similarity of models, is an important method for calculating the fractal dimension of models.
Chong Wang, Weiqiang An
doaj   +1 more source

Improving the signal subtle feature extraction performance based on dual improved fractal box dimension eigenvectors [PDF]

open access: yesRoyal Society Open Science, 2018
Because of the limitations of the traditional fractal box-counting dimension algorithm in subtle feature extraction of radiation source signals, a dual improved generalized fractal box-counting dimension eigenvector algorithm is proposed.
Xiang Chen   +3 more
doaj   +1 more source

Volume of Interest-Based Fractal Analysis of Huffaz’s Brain

open access: yesFractal and Fractional, 2022
The robust process in memorising the Quran is expected to cause neuroplasticity changes in the brain. To date, the analysis of neuroplasticity is limited in binary images because greyscale analysis requires the usage of more robust processing techniques.
Iqbal Jamaludin   +3 more
doaj   +1 more source

An effective method to compute the box-counting dimension based on the mathematical definition and intervals

open access: yesResults in Engineering, 2020
Fractal dimension is an appropriate indicator to describe the complexity of a certain geometry, and box-counting analysis is proved to be an effective and appropriate method for fractal dimension estimation which is widely used.
Jiaxin Wu, Xin Jin, Shuo Mi, Jinbo Tang
doaj   +1 more source

Fractal Characterization of Multiscale Fracture Network Distribution in Dolomites: Outcrop Analogue of Subsurface Reservoirs

open access: yesFractal and Fractional, 2023
Fractured aquifers, especially dolomites, are important hydrocarbon reservoirs and sources of thermal and groundwater in many parts of the world, especially in the Alpine-Dinaric-Carpathian region.
Ivica Pavičić   +3 more
doaj   +1 more source

Multilayered Complexity Analysis in Architectural Design: Two Measurement Methods Evaluating Self-Similarity and Complexity

open access: yesFractal and Fractional, 2021
This article contributes to clarifying the questions of whether and how fractal geometry, i.e., some of its main properties, are suitable to characterize architectural designs.
Wolfgang E. Lorenz, Matthias Kulcke
doaj   +1 more source

New Approaches to Fractal Dimension Estimation With Application to Gray-Scale Images

open access: yesIEEE Access, 2020
Two new approaches for calculating box-counting fractal dimension (FD) estimates for gray-scale images are considered to overcome some of the limitations of the standard box-counting method, which requires setting a threshold in a pre-processing step ...
Piotr D. Szyperski, D. Robert Iskander
doaj   +1 more source

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