scholarly journals An Analysis of COVID-19 using X-ray Image Segmentation based Graph Cut and Box Counting Fractal Dimension

Telematika ◽  
2012 ◽  
Vol 14 (1) ◽  
pp. 25-32
Author(s):  
Faiz Ainur Razi
Keyword(s):  
Image Segmentation ◽  
Fractal Dimension ◽  
Graph Cut ◽  
X Ray ◽  
Box Counting

An Image Segmentation Calculation Based on Differential Box-Counting of Fractal Geometry

2015 ◽  
Vol 719-720 ◽  
pp. 964-968 ◽  
Author(s):  
Tao He ◽  
Long Fei Cheng ◽  
Qing Hua Wu ◽  
Zheng Jia Wang ◽  
Lian Gen Yang ◽  
...  
Keyword(s):  
Image Segmentation ◽  
Fractal Dimension ◽  
Fractal Geometry ◽  
Computer Image ◽  
Least Squares Method ◽  
Three Dimensional ◽  
Counting Method ◽  
Box Counting ◽  
Box Counting Method ◽  
Important Significance

Differential box-counting of fractal geometry has been widely used in image processing.A method which uses the differential box-counting to segment the gathered images is discussed in this paper . It is to construct a three-dimensional gray space and use the same size boxes to contain the three dimensional space.The number of boxes needed to cover the entire image are calculated .Different sizes of boxes can receive different number of boxes, so least squares method is used to calculate the fractal dimension. According to the fractal dimension parameters, appropriate threshold is chose to segment the image by using binarization .From the handle case of bearing pictures can be seen that image segmentation based on differential box-counting method can get clear image segmentation .This method is easy to understand, to operate, and has important significance on computer image segmentation .

A Fingerprint Image Segmentation Method Based on Fractal Dimension

2012 ◽  
Vol 461 ◽  
pp. 299-301
Author(s):  
Ming Xiang ◽  
Zhen Dong Cui ◽  
Yuan Hong Wu
Keyword(s):  
Image Segmentation ◽  
Fractal Dimension ◽  
Fractal Analysis ◽  
Estimation Algorithm ◽  
Segmentation Method ◽  
Fingerprint Image ◽  
Box Counting ◽  
Comparison Results

Fractal analysis is becoming more and more popular in image segmentation community, in which the box-counting based fractal dimension estimations are most commonly used. In this paper, a novel fractal estimation algorithm is proposed. Both the proposed algorithm and the box-counting based methods have been applied to the segmentation of texture images. The comparison results demonstrate that the fractal estimation can differentiate texture images more effectively and provide more robust segmentations

Morphology of Cobalt Oxalate Powders Prepared with Pulsed Electromagnetic Field

2015 ◽  
Vol 1088 ◽  
pp. 295-299
Author(s):  
Shu Jing Peng ◽  
Hui Ling Du ◽  
Li Dan Tang
Keyword(s):  
Electromagnetic Field ◽  
Fractal Dimension ◽  
Ammonium Oxalate ◽  
Pulsed Electromagnetic Field ◽  
Surface Fractal Dimension ◽  
X Ray ◽  
Box Counting ◽  
Surface Fractal ◽  
Cobalt Oxalate ◽  
Pulsed Electromagnetic

The spindle or spherical cobalt oxalate powders were prepared by conventional precipitation in the presence of pulsed electromagnetic field (PEMF). The morphology and phase structure were characterized by scanning electron microscopy (SEM) and X-ray powder diffraction (XRD). The aspect ratio and surface fractal dimension of cobalt oxalate aggregate were calculated using Image tool software and Differential Box Counting (DBC) algorithm. The results indicate that the products prepared from ammonium oxalate and cobalt chloride give rise to the formation of β-CoC2O4∙2H2O. With the increase of pulsed time, the morphology of cobalt oxalate sample varies periodically from rod-like to spheroidic. For the sample treated for 60 s, the degree of sphericity is the highest. The surface fractal dimension is 2.096 and the corresponding fractal form is tight type.

scholarly journals 4D Mapping of the Fracture Evolution in a Printed Gypsum-Like Core by Using X-Ray CT Scanning

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Huabo Liu ◽  
Fanjing Meng ◽  
Shaozhen Hua
Keyword(s):  
Computed Tomography ◽  
Fractal Dimension ◽  
3D Printing ◽  
Three Dimensional ◽  
Ct Scanning ◽  
X Ray ◽  
Box Counting ◽  
Volumetric Images ◽  
X Ray Computed ◽  
Ct System

The paper presents the use of micro-X-ray computed tomography (CT) system and associated automatic loading device in visualizing and analyzing the propagation of penny-shaped flaw in gypsum-like 3D printing specimen. During the loading process, a micro-X-ray computed tomography (CT) system was used to scan the specimen with a resolution of 30 × 30 μm2. The volumetric images of specimen were reconstructed based on two-dimensional images. Thus, the propagation of penny-shaped flaw in gypsum-like 3D printing specimen in spatial was observed. The device can record the evolution of the internal penny-shaped flaw by X-ray CT scanning and the evolution of the surface crack by digital radiography at the same time. Fractal analysis was employed to quantify the cracking process. Two- and three-dimensional box-counting methods were applied to analyze slice images and volumetric images, respectively. Comparison between fractal dimensions calculated from two- and three-dimensional box-counting method was carried out. The results show that the fractal dimension increases with the propagation of cracks. Moreover, the common approach to obtain the 3D fractal dimension of a self-similar fractal object by adding one to its corresponding 2D fractal dimension is found to be inappropriate.

3D box-counting algorithm for calculating fractal dimension of cities

2010 ◽  
Vol 30 (8) ◽  
pp. 2070-2072
Author(s):  
Le-shan ZHANG ◽  
Ge CHEN ◽  
Yong HAN ◽  
Tao ZHANG
Keyword(s):  
Fractal Dimension ◽  
Box Counting ◽  
Counting Algorithm

scholarly journals Supramolecular Fractal Growth of Self-Assembled Fibrillar Networks

Gels ◽  
2021 ◽  
Vol 7 (2) ◽  
pp. 46
Author(s):  
Pedram Nasr ◽  
Hannah Leung ◽  
France-Isabelle Auzanneau ◽  
Michael A. Rogers
Keyword(s):  
Fractal Dimension ◽  
Crystallization Temperature ◽  
Cayley Tree ◽  
Fractal Dimensions ◽  
Self Similarity ◽  
Avrami Model ◽  
Cluster Aggregation ◽  
Box Counting ◽  
Self Assembled ◽  
Limited Diffusion

Complex morphologies, as is the case in self-assembled fibrillar networks (SAFiNs) of 1,3:2,4-Dibenzylidene sorbitol (DBS), are often characterized by their Fractal dimension and not Euclidean. Self-similarity presents for DBS-polyethylene glycol (PEG) SAFiNs in the Cayley Tree branching pattern, similar box-counting fractal dimensions across length scales, and fractals derived from the Avrami model. Irrespective of the crystallization temperature, fractal values corresponded to limited diffusion aggregation and not ballistic particle–cluster aggregation. Additionally, the fractal dimension of the SAFiN was affected more by changes in solvent viscosity (e.g., PEG200 compared to PEG600) than crystallization temperature. Most surprising was the evidence of Cayley branching not only for the radial fibers within the spherulitic but also on the fiber surfaces.

CT Image Analysis on the Meso-Damage of Construction Waste Recycled Brick

2012 ◽  
Vol 588-589 ◽  
pp. 1930-1933
Author(s):  
Guo Song Han ◽  
Hai Yan Yang ◽  
Xin Pei Jiang
Keyword(s):  
Fractal Dimension ◽  
Strain Curve ◽  
Ct Image ◽  
Stress Strain Curve ◽  
Crack Evolution ◽  
Construction Waste ◽  
Box Counting ◽  
Industrial Ct ◽  
Ct Image Analysis ◽  
Box Counting Method

Based on industrial CT technique, Meso-mechanical experiment was conducted on construction waste recycled brick to get the real-time CT image and stress-strain curve of brick during the loading process. Box counting method was used to calculate the fractal dimension of the inner pore transfixion and crack evolution. The results showed that lots of pore in the interfacial transition zone mainly resulted in the damage of the brick. With the increase of stress, the opening through-pore appeared and crack expanded, and the fractal dimension increased.

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