顯示包含「Delaunay Triangulation」標籤的文章。顯示所有文章
顯示包含「Delaunay Triangulation」標籤的文章。顯示所有文章

2010年8月1日星期日

Voronoi diagram, Delaunay triangulation and 3D Convex Hull

(Still refinining... this blog entry. More images will be added to aid understanding... hopefully)

Introduction:

In the following discussion, Voronoi diagram and halfplane intersection refer to the 2D case, unless otherwise specified.

I hope I can list some nice properties of as well as some relationships between the following three structures in computational geometry:
  • Voronoi diagram

    [You need to understand what is going on on the right image.The left and the middle will be discussed below.]
  • Delaunay triangulation
  • 3D convex hull