# Difference between revisions of "Shape Filter"

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{{Infobox | {{Infobox | ||

| software = ImageJ/Fiji | | software = ImageJ/Fiji | ||

− | | name = Shape | + | | name = Shape Filter Plugin |

| author = Thorsten Wagner | | author = Thorsten Wagner | ||

| maintainer = Thorsten Wagner (wagner@biomedical-imaging.de) | | maintainer = Thorsten Wagner (wagner@biomedical-imaging.de) | ||

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* Aspect Ratio: Defined as <math>L/S</math> | * Aspect Ratio: Defined as <math>L/S</math> | ||

* Area to Perimeter Ratio: Defined as <math>A/P</math> | * Area to Perimeter Ratio: Defined as <math>A/P</math> | ||

− | * Circularity: | + | * Circularity: Defined as <math>P^{2}/A</math> |

− | * Elongation: | + | * Elongation: Defined as <math>1 - S/L</math> |

− | * Convexity: | + | * Convexity: Defined as <math>H/P</math> |

− | * Solidity: | + | * Solidity: Defined as <math>A/C</math> |

− | * Number of Holes: | + | * Number of Holes: The number of holes inside an object. |

− | * Thinnes Ratio: | + | * Thinnes Ratio: Inverse proportional to the circularity. Furthermore it normed. It is defined as <math>4\pi A/P^{2}</math> |

− | * Contour Temperatur: | + | * 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 Box Dimension: | + | * Fractal Box Dimension: Estimated fractal dimension by the box count algorithm. The default box-sizes are “2,3,4,6,8,12,16,32,64”. |

## Revision as of 09:39, 15 July 2015

Shape Filter Plugin (ImageJ/Fiji) | |
---|---|

Author | Thorsten Wagner |

Maintainer | Thorsten Wagner (wagner@biomedical-imaging.de) |

File | Shape_Smoothing.jar [1] |

Source | Github [2] |

Latest version | v1.2.1 (16 Jul 2015) |

Development status | active |

## General Description

The ImageJ Shape Filter Plugin uses the [ij-blob] library to filter objects in binary scenes by its shape.

# Shape Features

- Area (): The area enclosed by the outer contour of an object.
- Area Convex Hull (): The area enclosed by the convex hull of the outer contour of an object.
- Perimeter (): The perimeter of the outer contour of an object.
- Perimeter Convex Hull (): 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
- Area to Perimeter Ratio: Defined as
- Circularity: Defined as
- Elongation: Defined as
- Convexity: Defined as
- Solidity: Defined as
- Number of Holes: The number of holes inside an object.
- Thinnes Ratio: Inverse proportional to the circularity. Furthermore it normed. It is defined as
- Contour Temperatur: It has a strong relationship to the fractal dimension, defined as
- Fractal Box Dimension: Estimated fractal dimension by the box count algorithm. The default box-sizes are “2,3,4,6,8,12,16,32,64”.