Third International Conference of Mathematical Sciences (Icms 2019) 2019
DOI: 10.1063/1.5136199
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Extracting a new fractal and semi-variance attributes for texture images

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Cited by 8 publications
(3 citation statements)
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“…Taking the image block as the object of calculation, we set 3 directions starting from the upper left corner, and set 9 steps in each direction, the semi-variance texture feature is a combination of half the expected value of the sum of the squares of the differences between the gray values of two points at all steps (step = 1 − 9) in all directions (direction = 1 − 3) [22], [23], [24].…”
Section: ) Local Spatial Association Featurementioning
confidence: 99%
“…Taking the image block as the object of calculation, we set 3 directions starting from the upper left corner, and set 9 steps in each direction, the semi-variance texture feature is a combination of half the expected value of the sum of the squares of the differences between the gray values of two points at all steps (step = 1 − 9) in all directions (direction = 1 − 3) [22], [23], [24].…”
Section: ) Local Spatial Association Featurementioning
confidence: 99%
“…Color moments are a representation of color features that describe the surface properties of an image region corresponding to an object [30]. Texture features exhibit the regular characteristics of pixel distribution and arrangement in an image, which are usually obtained by statistical means, such as the Fourier transform of image regions and grayscale covariance matrix [31][32][33]. As a kind of statistic to describe the spatial variability of random variables, semi-variance depends on the distance and direction of discrete points and reflects the autocorrelation between points, which provides an unbiased description of the spatial variation scale and pattern of image regions by describing the instability of image regions.…”
Section: Box Classification With Svmmentioning
confidence: 99%
“…The normally used method to extract the fractal feature of packaging materials is to employ the material micromorphology in the preparation process, surface, or fracture morphology of packaging material, and the test data in the property change process of packaging material (e.g., acoustic emission (AE) signal [ 18 ]) to carry out image gray processing and noise reduction processing, respectively. Common methods for calculating fractal dimension include the box counting method [ 19 ], correlation dimension method [ 20 ], Hurst index method [ 21 ], slit island method [ 22 ], yard stick method [ 23 ], area-perimeter method [ 24 ], Sierpiński carpet method [ 25 ], semi-variance method [ 26 ], and power spectral density [ 27 ] (PSD) method. The main methods to obtain object image are scanning electron microscope [ 28 ] (SEM), transmission electron microscope [ 29 ] (TEM), atomic force microscope [ 30 ] (AFM), and other imaging techniques.…”
Section: Basic Theory Of Fractalmentioning
confidence: 99%