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# RegionConvexity

Header: | AVL.h |
---|---|

Namespace: | avl |

Module: | FoundationBasic |

Computes the area of a region divided by area of its convex hull.

### Syntax

C++

C#

void avl::RegionConvexity ( const avl::Region& inRegion, float& outConvexity )

### Parameters

Name | Type | Default | Description | |
---|---|---|---|---|

inRegion | const Region& | Input region | ||

outConvexity | float& |

### Description

Convexity is a measure of how close a region is to being convex. Convex regions have convexity equal to 1.0, while the more concave the region is, the closer to 0.0 is its convexity.

Mathematically, the convexity is calculated as follows:

### Hints

- If the input region is not guaranteed to be non-empty, precede this filter with SkipEmptyRegion.

### Examples

### Errors

List of possible exceptions:

Error type | Description |
---|---|

DomainError |
Empty region on input in RegionConvexity. |

### See Also

- RegionConvexHull – Computes the smallest convex region containing the input region.

- PolygonConvexity – Computes the area of a polygon divided by the area of its convex hull.