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A Box-Counting Method with Adaptable Box Height for Measuring the Fractal Feature of Images [PDF]
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
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On distance sets, box-counting and Ahlfors-regular sets [PDF]
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
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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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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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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
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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
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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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