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Delaunay triangulation script for adobe illustrator
Delaunay triangulation script for adobe illustrator













delaunay triangulation script for adobe illustrator delaunay triangulation script for adobe illustrator

We also say that the triangles satisfy the empty circle property (Figure 2).įigure 2: All triangles satisfy the empty circle property.Īfter this short theoretical introduction, we want to apply this technique to a more practical yet aesthetical field, concretely to transform an input image to its triangulated counterpart. So, considering that we have a set of six points, we can obtain a triangulated polygon by tracing a circle around each vertex of the constructed triangle in such a manner that the circumcircle of all five triangles is empty. This will get valuable meaning in the following sections. The circumcircle of a triangle is the unique circle passing through all the vertices of the triangle. “…a Delaunay triangulation (also known as a Delone triangulation) for a given set P of discrete points in a plane is a triangulation DT(P) such that no point in P is inside the circumcircle of any triangle in DT(P).”

delaunay triangulation script for adobe illustrator

Wikipedia has a very succinct definition of the Delaunay triangulation: This is what differentiates the Delaunay triangulation from the other triangulation techniques.įigure 1: Point set triangulation. But to think of a point set as a convex polygon, the points from the interior of the convex hull should not be ignored completely. In other terms, the triangulation might be conceived as a geometric object defined by a point set, but what differentiates the polygons from a point set is that the latter does not have an interior, except if we treat the point set as a convex hull/polygon. This will be an attempt to explore the fields of computer technology and art.īut first, what is triangulation? Simply spoken, triangulation partitions a polygon into triangles, which allows, for instance, to compute the area of a polygon and make some operations on the computed polygon surface - for example, to interpolate the triangulated area color palette and repaint it with the obtained average color. In this article, we present a technique to triangulate source images, converting them to abstract, somewhat artistic images composed of tiles of triangles.















Delaunay triangulation script for adobe illustrator