# Examlpes

## Problem: Rasterize scattered point data

Consider the Delaunay triangulation of the previous example. Due to the random point generation on the surface of the starfish, the triangles also have a random shape.

You can easily re-triangulate the existing triangulation over an arbitrary rectangular raster by interpolating the existing triangulation. Use this feature to rasterize scattered point data or to reduce the number of triangulation points.

## Solution using G#

1.        public static void DelaunayRasteredExample()
2.         {
3.             // Create a sample point set
4.             PointSet ps = SamplePoints.SupershapeStarfish(10000);
5.
6.             // Instantiate a delaunay triangulation
7.             DelaunayTriangulation2d dt = new DelaunayTriangulation2d();
8.
9.             // Assign the point set to triangulate
10.             dt.TriangulationPoints = ps;
11.
12.             // Triangulate the point set
13.             dt.Triangulate();
14.
15.             // You may add points to the existing triangulation
17.
18.             // Rasterize the current triangulation in over 0.02x0.02-raster
19.             dt.RasterizeCurrentTriangulation(0.02, 0.02);
20.
21.             // Get the triangulation
22.             List<Triangle> triangles = dt.GetTriangles();
23.
24.             // visualize: ---------------------------------------------------
25.             // Make a scene
26.             Scene sc = new Scene();
27.
28.             // Set the point style
29.             sc.PointDisplayMode = 0;
30.             sc.PointSize = 0;
31.
32.             // Make a layer for the triangles
33.             Scene.Layer tLayer = new Scene.Layer("Delaunay_Triangles", 90);
34.
35.             // Make a layer for the triangulation points
36.             Scene.Layer pLayer = new Scene.Layer("Triangulation_Points", 1);
37.
38.             // Add the triangles and the triangulation points to the scene