voronoi

How can I get a dictionary of cells from this Voronoi Diagram data?

眉间皱痕 提交于 2019-12-03 16:08:51
问题 Using the voronoi/delaunay diagram generation library found in this program, which is based on Fortune's original implementation of his algorithm, with a random set of points as input data, I am able to get the following output data: A list of the edges from the Delaunay Triangulation , meaning that for each input point, I can see which input points are its neighbors. They don't appear to be in any particular order. A list of the vertex pairs from the Voronoi Diagram , which I can use to draw

Determining and storing Voronoi Cell Adjacency

耗尽温柔 提交于 2019-12-03 08:45:06
I will be working with a set of thousands of points. I can implement or use existing implementations of Fortunes Algorithm to produce the Voronoi diagram of the points, but my application also requires me to know adjacency with respect to each Voronoi Cell. More specifically, for any Voronoi cell I need to know the cells that are adjacent to this. At this point I'm not to concerned with output or storage method as I can likely massage an implementation to work in my favor. Is anyone aware of an algorithm, or better yet aware of an implemented algorithm that can accomplish cell adjacency

CGAL, Cropped voronoi diagram confined in a rectangle

你。 提交于 2019-12-03 04:58:12
I'm using CGAL with Qt to draw Voronoi diagram. I used CGAL::Voronoi_diagram_2<DT,AT,AP> since I need the faces. This is the example code: for(Face_iterator f = VD.faces_begin(); f != VD.faces_end(); f++) { Ccb_halfedge_circulator ec_start = (f)->ccb(); Ccb_halfedge_circulator ec = ec_start; do { if (!ec->has_source()) { } else QpolyF << QPointF(((Halfedge_handle)ec)->source()->point().x(), ((Halfedge_handle)ec)->source()->point().y()); } while ( ++ec != ec_start ); VectPolygon.push_back(QpolyF); QpolyF.clear();} I need to clip the rays that has source or target in infinity. If I use the

How can I make voronoi treemaps? [closed]

Deadly 提交于 2019-12-03 00:50:25
Closed. This question is off-topic. It is not currently accepting answers. Learn more . Want to improve this question? Update the question so it's on-topic for Stack Overflow. I want to make voronoi treemaps for statistics data, like newsgraphy Do you know how I can do that in Perl, PHP, Ruby, or Python? wr. Nice demos and graphics for Python: http://home.scarlet.be/zoetrope/voronoi/ ( Archived copy at wayback ) Sinan Ünür Math::Geometry::Voronoi Just found this page. I've been working on a Voronoi demo applet using Javascript/canvas, after translating into Javascript a C# version of Steven

Finding centre of a polygon using limited data

狂风中的少年 提交于 2019-12-02 20:58:37
I'm implementing Voronoi tesselation followed by smoothing. For the smoothing I was going to do Lloyd relaxation, but I've encountered a problem. I'm using following module for calculation of Voronoi sides: https://bitbucket.org/mozman/geoalg/src/5bbd46fa2270/geoalg/voronoi.py For the smoothing I need to know the edges of each polygon so I can calculate the centre, which unfortunately this code doesn't provide. Information I have access to consists of: A list of all nodes, A list of all edges (but just where they are, not what nodes they're associated with). Can anyone see a relatively simple

Voronoi - Compute exact boundaries of every region

浪子不回头ぞ 提交于 2019-12-02 20:55:09
I'm trying to compute the exact boundaries of every region of a Voronoi Diagram using scipy.spatial.Voronoi, in the case when all the points are inside a pre-defined polygon. For example, using the example in the documentation, http://docs.scipy.org/doc/scipy-dev/reference/generated/scipy.spatial.Voronoi.html what if I need to compute Voroni with the same points but inside a rectangle with the following boundaries global_boundaries = np.array([[-2, -2], [4, -2], [4, 4], [-2, 4], [-2, -2]]) and I need to compute the precise boundaries of every voronoi region, like that? voronoi_region_1

Voronoi diagram, Delaunay triangulation - data structures

元气小坏坏 提交于 2019-12-01 08:40:36
问题 I want to compute Voronoi and its dual, Delaunay triangulation. I am using Watson Bowyer algorithm. My goal afterwards is to compute alpha-shapes (concave hulls). So I will need to rapidly access the voronoi cell for a given point, the neighbors... Which data structures did you use for your Voronoi/Delaunay algorithm? I have thought of using a disjoint set data structure with union-find operations, so that I can 'bind' to one parent, the point p in original data set, the set of point in Vp.

draw paths using d3 in google maps overlay

扶醉桌前 提交于 2019-11-30 23:38:51
I'm using d3.js with google maps in a vain attempt to visualise wireless coverage. the basic idea is that each point on the map would represent an access point and i would use a voronoi diagram from these points as a crude approximation of coverage etc. so based on this demo , i have the following: <!DOCTYPE html> <html> <head> <meta name="viewport" content="initial-scale=1.0, user-scalable=no"/> <script type="text/javascript" src="http://maps.google.com/maps/api/js?sensor=true"></script> <script type="text/javascript" src="http://mbostock.github.com/d3/d3.v2.min.js"></script> <link rel=

draw paths using d3 in google maps overlay

半腔热情 提交于 2019-11-30 18:52:13
问题 I'm using d3.js with google maps in a vain attempt to visualise wireless coverage. the basic idea is that each point on the map would represent an access point and i would use a voronoi diagram from these points as a crude approximation of coverage etc. so based on this demo, i have the following: <!DOCTYPE html> <html> <head> <meta name="viewport" content="initial-scale=1.0, user-scalable=no"/> <script type="text/javascript" src="http://maps.google.com/maps/api/js?sensor=true"></script>

Python finite boundary Voronoi cells

强颜欢笑 提交于 2019-11-30 15:58:33
I am trying to adapt a code I found on stackoverflow to create a voronoi cell with finite boundaries. I found the code below on https://stackoverflow.com/a/20678647/2443944 however my problem is that whilst the voronoi cells do not go off to infinity at the boundaries, they are still too far away. Even with a radius = 0, the ridge vertices are far too away. I ideally want the boundary voronoi vertices to be spaced around the same amount as the rest of the voronoi cells in the centre i.e. I want the sizes of the voronoi cells at the boundaries to be similar to the ones in the centre. The data