https://github.com/msokalski/delabella

2D Delaunay triangulation (dela) - super stable (bella!)
https://github.com/msokalski/delabella

Last synced: about 1 month ago
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2D Delaunay triangulation (dela) - super stable (bella!)

• Host: GitHub
• URL: https://github.com/msokalski/delabella
• Owner: msokalski
• License: other
• Created: 2018-07-18T16:22:01.000Z (over 6 years ago)
• Default Branch: master
• Last Pushed: 2024-02-13T17:22:01.000Z (10 months ago)
• Last Synced: 2024-08-02T07:18:23.751Z (4 months ago)
• Language: C++
• Size: 10.3 MB
• Stars: 216
• Watchers: 11
• Forks: 26
• Open Issues: 2
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

Awesome Lists containing this project

• awesome-game-engine-dev - Delabella - Super stable 2D delaunay triangulation. (Libraries / C++)
• AwesomeCppGameDev - delabella - super stable (bella!) (Maths)

README

        
# DelaBella

## 2D Exact Delaunay triangulation



- Bunch of credits must go to David for inventing such beautiful algorithm (Newton Apple Wrapper):

  http://www.s-hull.org/

- It is pretty well described in this paper:

  https://arxiv.org/ftp/arxiv/papers/1602/1602.04707.pdf

- Currently DelaBella makes use of adaptive-exact predicates by William C. Lenthe

  https://github.com/wlenthe/GeometricPredicates

  

## What you can do with DelaBella?

- Delaunay triangulations

  ![delaunay](images/delaunay.png)

- Voronoi diagrams

  ![voronoi](images/voronoi.png)

- Constrained Delaunay triangulations

  ![constraints](images/constraints.png)

- Interior / exterior detection based on constraint edges

  ![floodfill](images/floodfill.png)

## Minimalistic DelaBella usage:

```cpp

#include "delabella.h"

// ...

	// somewhere in your code ...

	int POINTS = 1000000;

	typedef double MyCoord;

	struct MyPoint

	{

		MyCoord x;

		MyCoord y;

		// ...

	};

	MyPoint* cloud = new MyPoint[POINTS];

	srand(36341);

	// gen some random input

	for (int i = 0; i < POINTS; i++)

	{

		cloud[i].x = rand();

		cloud[i].y = rand();

	}

	IDelaBella2* idb = IDelaBella2::Create();

	int verts = idb->Triangulate(POINTS, &cloud->x, &cloud->y, sizeof(MyPoint));

	// if positive, all ok 

	if (verts>0)

	{

		int tris = idb->GetNumPolygons();

		const IDelaBella2::Simplex* dela = idb->GetFirstDelaunaySimplex();

		for (int i = 0; inext;

		}

	}

	else

	{

		// no points given or all points are colinear

		// make emergency call ...

	}

	delete[] cloud;

	idb->Destroy();

	// ...

```

## On the go progress information for all lengthy functions

![terminal](images/terminal.gif)

## Benchmarks

![Benchmarks](./bench/bar1.svg)

For more tests and informations please see [Benchmarks](./bench/bench.md)