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interimage:attributes_description [2010/06/23 11:33]
castejon
interimage:attributes_description [2010/06/23 17:08]
hermann
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 ===== Shape Attributes ===== ===== Shape Attributes =====
  
-  * area: Returns the area of the given polygon, in number of pixels. +  ​* **area**: Returns the area of the given polygon, in number of pixels. 
-  * bBoxArea: Returns the bounding box area of the given polygon, in number of pixels. +  ​* **bBoxArea**: Returns the bounding box area of the given polygon, in number of pixels. 
-  * perimeter: Returns the perimeter of the polygon, considering the amount of pixels in its border. +  ​* **perimeter**: Returns the perimeter of the polygon, considering the amount of pixels in its border. 
-  * fractalDimension:​ Returns the fractal dimension of a given polygon, which is calculated by the following equation:+  ​* **fractalDimension**: Returns the fractal dimension of a given polygon, which is calculated by the following equation:
 {{ :​interimage:​fractal.png }}  ​ {{ :​interimage:​fractal.png }}  ​
 Where P is the polygon perimeter and A is the area. Where P is the polygon perimeter and A is the area.
-  * perimeterAreaRatio:​ Calculates the ratio between the perimeter and the area of a polygon. +  ​* **perimeterAreaRatio**: Calculates the ratio between the perimeter and the area of a polygon. 
-  * compacity: Returns the compacity of a given polygon, which is calculated by the following equation:+  ​* **compacity**: Returns the compacity of a given polygon, which is calculated by the following equation:
 {{ :​interimage:​compacity.png }}  ​ {{ :​interimage:​compacity.png }}  ​
 Where P is the polygon perimeter and A is the area. Where P is the polygon perimeter and A is the area.
-  * density: The density of a polygon is calculated by the ratio between its area and its Radius (the maximum distance between the polygon centroid and all its vertices). +  ​* **density**: The density of a polygon is calculated by the ratio between its area and its Radius (the maximum distance between the polygon centroid and all its vertices). 
-  * length: The Length of a polygon is the height of its bounding box. +  ​* **length**: The Length of a polygon is the height of its bounding box. 
-  * width: The Width of a polygon is calculated by the width of its bounding box. +  ​* **width**: The Width of a polygon is calculated by the width of its bounding box. 
-  * contiguity: Contiguity index assesses the spatial connectedness of pixels within a polygon to provide an index of boundary configuration. +  ​* **contiguity**: Contiguity index assesses the spatial connectedness of pixels within a polygon to provide an index of boundary configuration. 
-  * gyrationRadius:​ This attribute equals the mean distance between each pixel in the polygon and the polygon centroid. +  ​* **gyrationRadius**: This attribute equals the mean distance between each pixel in the polygon and the polygon centroid. 
-  * angle: The main angle of a polygon. It is obtained by calculating the best elliptic fit, and the angle of the bigest ​radius of the ellipse corresponds to the polygon angle. +  ​* **angle**: The main angle of a polygon. It is obtained by calculating the best elliptic fit, and the angle of the biggest ​radius of the ellipse corresponds to the polygon angle. 
-  * ellipticFit:​ Finds the best ellipse which fits outside the polygon and returns the ratio between the polygon area and the ellipse area. +  ​* **ellipticFit**: Finds the best ellipse which fits outside the polygon and returns the ratio between the polygon area and the ellipse area. 
-  * squareness: This attribute fits the minimum rectangle outside the polygon and calculates the ratio between the polygon area and the area of this rectangle. The most close to 1 is this attribute, the most similar to a rectangle the polygon is. +  ​* **squareness**: This attribute fits the minimum rectangle outside the polygon and calculates the ratio between the polygon area and the area of this rectangle. The t closest ​to 1 is this attribute, the most similar to a rectangle the polygon is. 
-  * circleness: It is calculated by the following equation:+  ​* **circleness**: It is calculated by the following equation:
 {{ :​interimage:​circle.png }} {{ :​interimage:​circle.png }}
 Where A is the polygon area and R is the maximum distance between the polygon centroid and all its vertices. Where A is the polygon area and R is the maximum distance between the polygon centroid and all its vertices.
-  * shapeIndex: Returns the shape index of a given polygon, which is calculated by the following equation:+  ​* **shapeIndex**: Returns the shape index of a given polygon, which is calculated by the following equation:
  {{ :​interimage:​shapeindex.png }}  {{ :​interimage:​shapeindex.png }}
 Where P is the polygon perimeter and A is the area. Where P is the polygon perimeter and A is the area.
 +
  
  
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 ===== Spectral Statistical Attributes ===== ===== Spectral Statistical Attributes =====
  
-  * **Amplitude** -+  * **Amplitude** - represents the difference between the maximum and minimum pixel values of a region for the given image band/​channel.
  
   * **Brightness** -  ​   * **Brightness** -  ​
  
-  * **Correlation** - Correlation is a similarity ​measures ​between two data sets under an absolute scale between [-1,1]. It is calculated as showed by the next formula:+  * **Correlation** - Correlation is a similarity ​measure ​between two data sets under an absolute scale between [-1,1]. It is calculated as showed by the next formula:
 {{ interimage:​att_correlation.gif }} {{ interimage:​att_correlation.gif }}
  
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   * **Variance** - Like the standart deviation, the variance also represents the numerical data dispersion degree surrounding the mean but in the original data values scale. It is defined by:   * **Variance** - Like the standart deviation, the variance also represents the numerical data dispersion degree surrounding the mean but in the original data values scale. It is defined by:
 {{ interimage:​att_variance.gif }} {{ interimage:​att_variance.gif }}
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 +
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 {{ interimage:​att_dissimilarityglcm.gif }} {{ interimage:​att_dissimilarityglcm.gif }}
  
-  * **EntropyGLCM** -+  * **EntropyGLCM** - Like the simple statistical entropy the GLCM entropy also is a statistical measure of image data randomness. The difference is that it uses frequencies of gray levels co-ocurrences instead of using point values frequencies. The co-ocurrences matrix is used and the calculus is showed by the next formula where "​i"​ and "​j"​ are adjacent image points values under one pre-defined direction. p(i,j) is the probability of that co-ocurrence over the image. 
 +{{ interimage:​att_entropyglcm.gif }}
  
-  * **HomogeneityGLCM** -+  * **HomogeneityGLCM** - Returns a value representing the distance between the distribuition of co-ocurrence matrix elements and those diagonal elements. The returned values range is between [0,1]. For images with low values variation the returned value will be near to zero. The calculus is showed by the next formula where "​i"​ and "​j"​ are adjacent image points values under one pre-defined direction. p(i,j) is the probability of that co-ocurrence over the image. 
 +{{ interimage:​att_homogeneityglcm.gif }}
  
-  * **MeanGLCM** -+  * **MeanGLCM** - The GLCM mean value is expressed in function of the frequency of co-ocorrence of image elements related to their neighborhood under one pre-defined direction. The calculus is showed by the next formula where "​i"​ and "​j"​ are adjacent image points values under one pre-defined direction. p(i,j) is the probability of that co-ocurrence over the image. 
 +{{ interimage:​att_meanglcm.gif }}
  
-  * **QuiSquareGLCM** -+  * **QuiSquareGLCM** - This metric can be understood as a form of energy normalization expressed in function of the linear dependency gray levels for image elements. The calculus is showed by the next formulas where "​i"​ and "​j"​ are adjacent image points values under one pre-defined direction. p(i,j) is the probability of that co-ocurrence over the image. Pj is the marginal probability for that co-ocurrence. 
 +{{ interimage:​att_quisquareglcm_1.gif }} 
 +{{ interimage:​att_quisquareglcm_2.gif }} 
 +{{ interimage:​att_quisquareglcm_3.gif }}
  
-  * **StdDeviationGLCM** - 
  
 +  * **StdDeviationGLCM** - The standart deviation is a measure that represents the values dispersion around a GLCM mean value. The GLCM standart deviation calcule differs from the simple standart deviation because the use of co-ocurrence frequencies. The calculus is showed by the next formula where "​i"​ and "​j"​ are adjacent image points values under one pre-defined direction. p(i,j) is the probability of that co-ocurrence over the image.
 +{{ interimage:​att_stddeviationglcm.gif }}
  
 ===== Neighborhood Attributes ===== ===== Neighborhood Attributes =====
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   * **meanDiffToNeighbors** - mean difference of the layer **L** mean value of an image object to the layer **L** mean value of direct neighbors (**R**=0) or all neighbor objects inside the range **R** (**R**>​0). The differences are weighted with regard to the shared border (**R**=0) or the area covered by the neighbor objects inside the range (**R**>​0). The distance between the image object and its neighbors is calculated considering their centroids.   * **meanDiffToNeighbors** - mean difference of the layer **L** mean value of an image object to the layer **L** mean value of direct neighbors (**R**=0) or all neighbor objects inside the range **R** (**R**>​0). The differences are weighted with regard to the shared border (**R**=0) or the area covered by the neighbor objects inside the range (**R**>​0). The distance between the image object and its neighbors is calculated considering their centroids.
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