voronoi

I am working on a problem that involves finding the Voronoi tessellation for points distributed over the surface of a sphere. As far as I can tell, my brute-force approach works, since visually it seems to find the Delaunay triangulation of the points. However, my algorithm seems to fail when defining each face's edge order using the vertices. As an example of what I'm going for, here is a picture of a version that correctly determines the edges using a hack that determines edges by determining whether two vertices share more than one forming point. Note that I want to use the tessellation to

Is there a code/library that can calculate a Voronoi diagram for planes (parallelograms) in 3D? I checked Qhull and it seems it can only work with points, in its examples Voro++ works with different size of spheres but I couldn't find anything for polygons. In this image (sample planes in 3d) the parallelograms are 3D since they have a thickness, but in this case the thickness will be zero.! Voronoi cells are not parallelograms. You are confused here by the image you posted. Voronoi cell borders are parts of the hyperplanes that are separating the individual means. Check out this website

Would anyone with Python experience be able to take a look at this for me? I'm using this code: https://bitbucket.org/mozman/geoalg/src/5bbd46fa2270/geoalg/voronoi.py to perform voronoi tesselation on a group of points. It works, but the problem is that the code only provides a list of all the vertices used to create the polygons, and which pairs must be joined together. It doesn't provide any information as to what points are used to make up each polygon, which I need. Thanks. context.triangles says in which Delaunay triangles input point participate. Each triangle is related to a Voronoi

Code bellow assumes input is points, not line segments (which is wrong). Following this 2D Voronoi Diagram Adaptor example, I am trying to write a program which takes as input line segments and prints the vertices of the faces of the Voronoi diagram. Here is my attempt (keeping includes/typedefs of the example): // standard includes #include <iostream> #include <fstream> #include <cassert> // includes for defining the Voronoi diagram adaptor #include <CGAL/Exact_predicates_inexact_constructions_kernel.h> #include <CGAL/Delaunay_triangulation_2.h> #include <CGAL/Voronoi_diagram_2.h> #include

I have spent a great deal of time now trying to obtain edges from the scipy.spatial.Voronoi diagram to no avail. Here is the main documentation: http://docs.scipy.org/doc/scipy-dev/reference/generated/scipy.spatial.Voronoi.html If you create a Voronoi Diagram like so: points = np.array([[0, 0], [0, 1], [0, 2], [1, 0], [1, 1], [1, 2], [2, 0], [2, 1], [2, 2]]) //Or feel free to use any set of points then you have access to the following object properties: vor.regions vor.max_bound vor.ndim vor.ridge_dict vor.ridge_points vor.ridge_vertices vor.npoints vor.point_region vor.points But is unclear

I find that in the boost library, for the voronoi diagram, some edge data is infinite. According to the instruction, it has to be clipped. But I cant find how to do it. Could anybody can give me a example code, please? Thx This is a rather stale question, but I found it when trying to solve the exact same problem. It's only fair to share the solution I hit upon so the next poor sap doesn't have to figure it out themselves. I have no idea if this is a particularly good way to do things, and I suspect it would struggle if you started using curved cells, but it worked OK for my purposes. The