Add orx-triangulation

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Ricardo Matias
2021-01-28 12:34:44 +01:00
committed by Edwin Jakobs
parent 199e9635fa
commit acdb038c98
8 changed files with 1028 additions and 1 deletions

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# orx-triangulation
An extension for triangulating a set of points using the **Delaunay** triangulation method. From that triangulation we can also derive a **Voronoi** diagram.
The functionality comes from a Javascript port of the following libraries:
* [delaunator](https://github.com/ricardomatias/delaunator) (external)
* [d3-delaunay](https://github.com/d3/d3-delaunay) (the port is included in this package)
## Usage
### Delaunay
The entry point is the `Delaunay` class.
```kotlin
val points: List<Vector2>
val delaunay = Delaunay.from(points)
// or
val flatPoints: DoubleArray // (x0, y0, x1, x1, x2, y2)
val delaunay = Delaunay(flatPoints)
```
This is how you retrieve the triangulation results:
```kotlin
val triangles: List<Triangle> = delaunay.triangles()
val halfedges: List<ShapeContour> = delaunay.halfedges()
val hull: ShapeContour = delaunay.hull()
// Updates the triangulation after the points have been modified in-place.
delaunay.update()
```
### Voronoi
The bounds specifices where the Voronoi diagram will be clipped.
```kotlin
val bounds: Rectangle
val delaunay = Delaunay.from(points)
val voronoi = delaunay.voronoi(bounds)
// or
val voronoi = Voronoi(Delaunay.from(points), bounds)
```
See [To Infinity and Back Again](https://observablehq.com/@mbostock/to-infinity-and-back-again) for an interactive explanation of Voronoi cell clipping.
This is how you retrieve th results:
```kotlin
val cells: List<ShapeContour> = voronoi.cellsPolygons()
val cell: ShapeContour = voronoi.cellPolygon(int) // index
val circumcenters: List<Vector2> = voronoi.circumcenters()
// Returns true if the cell with the specified index i contains the specified vector
val contaisVector = voronoi.contains(int, Vector2)
// Updates the Voronoi diagram and underlying triangulation
// after the points have been modified in-place
voronoi.update()
```
### Author
Ricardo Matias / [@ricardomatias](https://github.com/ricardomatias)