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Shape Filter

108 bytes added, 08:41, 15 July 2015
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= Shape Features =
* '''Area ''' (<math>A</math>): The area enclosed by the outer contour of an object.* '''Area Convex Hull ''' (<math>C</math>): The area enclosed by the convex hull of the outer contour of an object.* '''Perimeter ''' (<math>P</math>): The perimeter of the outer contour of an object.* '''Perimeter Convex Hull ''' (<math>H</math>): 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 <math>L/S</math>* '''Area to Perimeter Ratio''': Defined as <math>A/P</math>* '''Circularity''': Defined as <math>P^{2}/A</math>* '''Elongation''': Defined as <math>1 - S/L</math>* '''Convexity''': Defined as <math>H/P</math>* '''Solidity''': Defined as <math>A/C</math>* '''Number of Holes''': The number of holes inside an object.* '''Thinnes Ratio''': Inverse proportional to the circularity. Furthermore it normed. It is defined as <math>4\pi A/P^{2}</math>* '''Contour Temperatur''': It has a strong relationship to the fractal dimension, defined as <math>\left(log_{2}\left(\frac{2P}{P-H}\right)\right)^{-1}</math>* 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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