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Shape Filter

, 08:41, 15 July 2015
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= Shape Features =
* '''Area ''' ($A$): The area enclosed by the outer contour of an object.* '''Area Convex Hull ''' ($C$): The area enclosed by the convex hull of the outer contour of an object.* '''Perimeter ''' ($P$): The perimeter of the outer contour of an object.* '''Perimeter Convex Hull ''' ($H$): The perimeter of the convex hull of the particle.* '''Feret Diameter''': The maximum distance between the two parallel tangents touching the particle outline in all directions.* '''Min. Feret Diameter''': the minimum distance between the two parallel tangents touching the particle outline in all directions.* '''Long Side Minimum Bounding Rectangle''': The larger side of the minimum bounding rectangle.* '''Short Side Minimum Bounding Rectangle''': The smaller side of the minimum bounding rectangle.* '''Aspect Ratio''': Defined as $L/S$* '''Area to Perimeter Ratio''': Defined as $A/P$* '''Circularity''': Defined as $P^{2}/A$* '''Elongation''': Defined as $1 - S/L$* '''Convexity''': Defined as $H/P$* '''Solidity''': Defined as $A/C$* '''Number of Holes''': The number of holes inside an object.* '''Thinnes Ratio''': Inverse proportional to the circularity. Furthermore it normed. It is defined as $4\pi A/P^{2}$* '''Contour Temperatur''': It has a strong relationship to the fractal dimension, defined as $\left(log_{2}\left(\frac{2P}{P-H}\right)\right)^{-1}$* Fractal F'''ractal Box Dimension''': Estimated fractal dimension by the box count algorithm. The default box-sizes are “2,3,4,6,8,12,16,32,64”.
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