2.5. Texture Analysis Methods
Texture is an important feature for identifying image classes [
38,
39], and there are many methods for defining texture. Among them, the gray-level co-occurrence matrix (GLCM) has been proven to be effective in rock texture analysis [
40]. The principle of GLCM is to quantize the gray levels of the original grayscale matrix, establish a GLCM based on the frequency of specific pixel pairs, and calculate different indicators based on the GLCM [
41,
42,
43]. This paper uses 8 different GLCM indicators, which are briefly introduced below (where
g (
i,
j) is the normalized value of the frequency of pixel pair (
i,
j) and
μ and
σ2 are the mean and variance of the GLCM, respectively).
2.5.1. Contrast
The Contrast index is used to measure the drastic changes in image grayscale. The clearer and finer the texture of an image, the higher the Contrast value.
The Contrast index provides information about the brightness contrast in rock textures. The Contrast index is of significant importance in describing the details, edges, and variability of rock textures.
The Contrast index measures the degree of difference between adjacent gray-level pixels in rock textures. It helps us understand the contrast and texture variation between gray-level pixels in rock textures. A higher Contrast value indicates a greater difference between adjacent gray-level pixels and a more noticeable texture variation in the rock texture. Conversely, a lower Contrast value indicates relatively similar adjacent gray-level pixels and a smaller texture variation in the rock texture.
In rock texture analysis, the Contrast index can be used to assess the texture variation and edge features of rock textures. Different types of rocks or textures often exhibit different texture features, which are reflected in different Contrast values in terms of the contrast and texture variation between gray-level pixels. Rock textures with complex texture variations and rich edges tend to have higher Contrast values, while relatively uniform and smooth rock textures exhibit lower Contrast values.
The corresponding Contrast data are obtained through calculations using GF-2 data. In subsequent research, the Contrast data will be combined with other data to explore the contribution of this texture index to lithological classification.
2.5.2. Correlation
The Correlation index is used to measure the linear correlation of image grayscale. The higher the linear correlation between the grayscale levels of adjacent pixels in an image, the larger the Correlation value.
The Correlation index provides information about the correlation of grayscale values between pixels in rock textures. The Correlation index is highly useful for describing the linearity, directionality, and regularity of rock textures.
The Correlation index measures the linear correlation of pixel values in rock textures. It helps us understand the linear relationship between different grayscale-level pixels in rock textures. A Correlation value closer to 1 indicates a strong linear correlation between pixel values in the rock texture, suggesting a tendency toward a regular and orderly texture. Conversely, a Correlation value closer to 0 indicates less correlation between pixel values in the rock texture, suggesting a tendency toward randomness and disorder in the texture.
In rock texture analysis, the Correlation index can be used to assess the directionality of rock textures. Different types of rocks often exhibit different degrees of linearity and regularity, which are reflected in different correlation characteristics of their texture features. A higher Correlation value implies the presence of significant directional features in the rock texture, while a lower Correlation value indicates a weaker directionality. Directionality is an important distinguishing factor for certain types of rocks.
The corresponding Correlation data are obtained through calculations using GF-2 data. In subsequent research, the Correlation data will be combined with other data to explore the contribution of this texture index to lithological classification.
2.5.3. Dissimilarity
The Dissimilarity index is used to measure the changes in image grayscale, similar to Contrast, but with a difference in that exponential weighting is used in Contrast, whereas linear weighting is used in Dissimilarity.
The Dissimilarity index provides information about the degree of difference between pixels of different grayscale levels in rock textures. The Dissimilarity index is highly useful for describing the level of variation, roughness, and granularity of rock textures.
The Dissimilarity index measures the degree of difference between pixels of different grayscale levels in rock textures. It helps us understand the level of variation between pixels of different grayscale levels in rock textures, i.e., the differences in pixel values. A higher Dissimilarity value indicates a greater difference between different regions in the rock texture, suggesting a tendency toward roughness and granularity. Conversely, a lower Dissimilarity value indicates less difference between different regions in the rock texture, suggesting a tendency toward uniformity and smoothness.
In rock texture analysis, the Dissimilarity index can be used to identify different types of rock textures. Different rock types often exhibit different levels of variation and granularity, which are reflected in different characteristics of their texture features. Rough rock textures tend to have higher Dissimilarity values, indicating larger differences in pixel values within the texture. On the other hand, smooth rock textures exhibit lower Dissimilarity values, indicating relatively smaller differences in pixel values within the texture.
The corresponding Dissimilarity data are obtained through calculations using GF-2 data. In subsequent research, the Dissimilarity data will be combined with other data to explore the contribution of this texture index to lithological classification.
2.5.4. Entropy
The Entropy index is used to measure the disorderliness of image grayscale. The more disorderly and complex the grayscale distribution of an image, the higher the Entropy value. When the values in the GLCM are uniformly distributed, the Entropy value is higher.
The Entropy index provides information about the complexity, uncertainty, and information content in rock textures. The Entropy index is highly useful for describing the texture richness, variation, and level of detail in rock textures.
The Entropy index measures the degree of chaos in the distribution of grayscale levels in rock textures. It helps us understand the uncertainty and complexity of the texture in rock textures. A higher Entropy value indicates a more uniform and complex distribution of grayscale levels in the rock texture, suggesting a tendency toward richness and variation in the texture. Conversely, a lower Entropy value indicates a more concentrated distribution of grayscale levels in the rock texture, suggesting a tendency toward simplicity and uniformity.
In rock texture analysis, the Entropy index can be used to evaluate the level of detail in rock textures. Different rock types often exhibit different levels of complexity and texture richness, which are reflected in different degrees of uncertainty in the distribution of grayscale levels. Rock textures with abundant details tend to have higher Entropy values, indicating a more complex distribution of grayscale levels. On the other hand, rocks with simpler textures exhibit lower Entropy values, indicating a relatively concentrated distribution of grayscale levels.
The corresponding Entropy data are obtained through calculations using GF-2 data. In subsequent research, the Entropy data will be combined with other data to explore the contribution of this texture index to lithological classification.
2.5.5. Homogeneity
The Homogeneity index, also known as the inverse difference moment, is used to measure the homogeneity of an image. When the grayscale of an image is uniform, Homogeneity value is at its maximum.
The Homogeneity index provides information about the similarity and consistency between pixels of different grayscale levels in rock textures. The Homogeneity index is highly useful for describing the uniformity, smoothness, and proximity between pixels in rock textures.
The Homogeneity index measures the degree of proximity between pixels of different grayscale levels in rock textures. It helps us understand the similarity and consistency between adjacent grayscale-level pixels in rock textures. A higher Homogeneity value indicates smaller differences in grayscale between adjacent pixels in the rock texture, suggesting a tendency toward uniformity and smoothness in the texture. Conversely, a lower Homogeneity value indicates larger differences in grayscale between adjacent pixels in the rock texture, suggesting a tendency toward non-uniformity and roughness in the texture.
In rock texture analysis, the Homogeneity index can be used to evaluate the roughness and granularity of rock textures. Different rock types often exhibit different levels of uniformity and smoothness, which are reflected in different characteristics of grayscale differences between adjacent pixels. Rough rock textures tend to have lower Homogeneity values, indicating larger differences in grayscale between adjacent pixels. On the other hand, smooth rock textures exhibit higher Homogeneity values, indicating relatively smaller differences in grayscale between adjacent pixels.
The corresponding Homogeneity data are obtained through calculations using GF-2 data. In subsequent research, the Homogeneity data will be combined with other data to explore the contribution of this texture index to lithological classification.
2.5.6. Mean
The Mean index is used to measure the average grayscale of an image.
The Mean index provides information about the average grayscale value in rock textures. The Mean index is highly useful for describing the brightness and grayscale distribution in rock textures.
The Mean index measures the average value of grayscale levels in rock textures. It helps us understand the overall brightness of grayscale levels in rock textures. The Mean value reflects the central position of the pixel grayscale distribution in the rock texture. A higher Mean value indicates a higher overall brightness, while a lower Mean value indicates a lower overall brightness.
In rock texture analysis, the Mean index can be used to evaluate the brightness level of rock textures. Different rock types often exhibit different brightness and grayscale distribution characteristics. Rock textures with higher brightness tend to have higher Mean values, while rock textures with lower brightness exhibit lower Mean values.
Furthermore, it is important to note that the Mean index can only provide overall brightness information about grayscale levels in rock textures and cannot provide detailed information about the distribution range or shape of grayscale levels. Therefore, in rock texture analysis, it is common to combine other GLCM indices or image processing methods for comprehensive analysis.
The corresponding Mean data are obtained through calculations using GF-2 data. In subsequent research, the Mean data will be combined with other data to explore the contribution of this texture index to lithological classification.
2.5.7. Second Moment
The Second Moment index is used to measure the regularity of grayscale distribution in an image. Second Moment is negatively correlated with Entropy, and the more uniform and regular the texture of an image, the higher the value of Second Moment. When the values of GLCM are uniformly distributed, the Second Moment value is lower.
The Second Moment index provides information about the uniformity of grayscale-level pixel distribution and texture details in rock textures. The Second Moment index is highly useful for describing the uniformity, level of detail, and smoothness of rock textures.
The Second Moment index measures the uniformity of grayscale-level pixel distribution or the smoothness of texture in rock textures. It helps us understand the overall distribution characteristics of grayscale-level pixels in rock textures. A higher Second Moment value indicates a more uniform distribution of grayscale-level pixels in the rock texture, indicating a tendency toward smoothness in the texture. Conversely, a lower Second Moment value suggests an uneven distribution of grayscale-level pixels in the rock texture, indicating a tendency toward roughness and potentially more texture details and variations.
In rock texture analysis, the Second Moment index can be used to evaluate the level of detail and variability in rock textures. Different rock types or texture types often exhibit different texture characteristics, which are reflected in the energy or Second Moment values of grayscale-level distributions and texture details. Rock textures with rich details and high variability tend to have lower Second Moment values, while relatively uniform and smooth rock textures exhibit higher Second Moment values.
The corresponding Second Moment data are obtained through calculations using GF-2 data. In subsequent research, the Second Moment data will be combined with other data to explore the contribution of this texture index to lithological classification.
2.5.8. Variance
The Variance index is used to measure the variance of image grayscale. The higher the discreteness of grayscale distribution, the larger the Variance value.
The Variance index provides information about the variability and texture roughness of grayscale-level pixels in rock textures. The Variance index is highly useful for describing the differences, roughness, and dispersion of grayscale-level pixels in rock textures.
The Variance index measures the differences and dispersion of grayscale-level pixels in rock textures. It helps us understand the variability of grayscale-level pixels and the roughness of the texture in rock textures. A higher Variance value indicates greater differences and dispersion of grayscale-level pixels in the rock texture, indicating a rougher texture. Conversely, a lower Variance value suggests a relatively uniform and dense distribution of grayscale-level pixels in the rock texture, indicating smoother texture.
In rock texture analysis, the Variance index can be used to evaluate the roughness and variability of rock textures. Different rock types or texture types often exhibit different detail characteristics, which are reflected in the differences and dispersion of grayscale-level pixels and the resulting Variance values. Rock textures with rougher surfaces and higher variability tend to have higher Variance values, while relatively smooth and consistent rock textures exhibit lower Variance values.
Furthermore, it is important to note that the Variance index can only provide information about the dispersion of grayscale-level pixels in rock textures and cannot provide specific details about grayscale-level distributions and texture morphology. Therefore, in rock texture analysis, it is common to combine other GLCM indices or image processing methods for comprehensive analysis.
The corresponding Variance data are obtained through calculations using GF-2 data. In subsequent research, the Variance data will be combined with other data to explore the contribution of this texture index to lithological classification.