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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
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The box-merging implementation of the box-counting algorithm
Fractal analysis is a powerful tool for the classification of materials. However, until now, there were no efficient tools that could process large or color images due to the processing time required.
Nikolaidis Nikolaos S. +1 more
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The microscopic characteristics of particle matter and image algorithm based on fractal theory [PDF]
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
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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
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Improving the signal subtle feature extraction performance based on dual improved fractal box dimension eigenvectors [PDF]
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
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Volume of Interest-Based Fractal Analysis of Huffaz’s Brain
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
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Renal ischemia–reperfusion (IR) is inevitable in partial nephrectomy and kidney transplantation. Acute tubular necrosis (ATN) induced by renal IR causes the loss of functional units in the kidney, pathologically presenting as the nonhomogeneous ...
Yuhong Fang +5 more
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Vertical vs. Horizontal Fractal Dimensions of Roads in Relation to Relief Characteristics
This paper investigated the surface length of roads from both horizontal and vertical perspectives using the theory of fractal dimension of surfaces and curves. Three progressive experiments were conducted.
Klemen Prah, Ashton M. Shortridge
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Box-counting by Hölder’s traveling salesman [PDF]
11 ...
Zoltán M. Balogh, Roger Züst
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New Approaches to Fractal Dimension Estimation With Application to Gray-Scale Images
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
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