Problem Given are n=10000 points and m=1000 line segments in a plane. The task is to determine the closest segment to each point. A fast solution in Python is preferred. Specifications Line segment...

I'm working on a game where I create a random map of provinces (a la Risk or Diplomacy). To create that map, I'm first generating a series of semi-random points, then figuring the Delaunay triangul...

I have a data frame that looks like this. It contains the sunflower seed productivity of each country. I want to add next to this data polygon data so I can plot it with ggplot2. I was told to use ...

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 requ...

I'm trying to create some artistic "plots" like the ones below: The color of the regions do not really matter, what I'm trying to achieve is the variable "thickness" of the edg...

I have a data frame that looks like this and I want to create a circular voronoi diagram with it df <- data.frame(country = c("Ukraine", "Russia", "Argentina", &quo...

Here is an example. Text color is black by default. library(voronoiTreemap) data(ExampleGDP) gdp_json <- vt_export_json(vt_input_from_df(ExampleGDP)) vt_d3(gdp_json, legend=TRUE)

I'm generating a simple 2D Voronoi tessellation, using the scipy.spatial.Voronoi function. I use a random 2D distribution of points (see MCVE below). I need a way to go through each defined region...

I am using scipy.spatial for visualizations of Voronoi diagrams. However, the distance metric that is used here is Euclidean (L2). I am looking for a way of Manhattan (L1) metric on my Voronoi diag...

Following this two resources: Boost basic tutorial SO Question I wrote a Delaunay triangulation with boost. It works fine if the points coordinates are integral (I generated several random test...

Voronoi algorithm has no doubt provided a amenable approach to divide a plane into regions based on distance to points in a specific subset of the plane. Such the Voronoi diagram of a set of points...

I have points (e.g., lat, lon pairs of cell tower locations) and I need to get the polygon of the Voronoi cells they form. from scipy.spatial import Voronoi tower = [[ 24.686 , 46.7081], [ 24.68...

from a set of points I built the Voronoi tessellation using scipy: from scipy.spatial import Voronoi vor = Voronoi(points) Now I would like to build a Polygon in Shapely from the regions the Vor...

I'm trying to colorize a Voronoi Diagram created using scipy.spatial.Voronoi. Here's my code: import numpy as np import matplotlib.pyplot as plt from scipy.spatial import Voronoi, voronoi_plot_2d ...

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 ...

I'm using Scipy 0.13.0 in Python 2.7 to calculate a set of Voronoi cells in 3d. I need to get the volume of each cell for (de)weighting output of a proprietary simulation. Is there any simple way o...

I am using the Voronoi diagram-based approach outlined here to find midlines of binary masks of root images. I am using the Python code more or less exactly as described: import skimage.morphology...

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://mcmap.net/q/278448/-colorize-voronoi-diagram however my probl...

I'm trying to compute the exact boundaries of every region of a Voronoi Diagram using scipy.spatial.Voronoi, in the case that all the points are inside a pre-defined polygon. For example, using the...

I've been working on some functions in R and MatLab based on Qhull (the geometry package in R) to project local Cartesian X,Y,Z points within a circular plot to spherical (theta,phi,R), centered at...

What are the easy algorithms to implement Voronoi diagram? I couldn't find any algorithm specially in pseudo form. Please share some links of Voronoi diagram algorithm, tutorial etc.

I am trying to find a way to calculate a 2d Power Diagram in Python. For this I want to make use of the fact that a 2d power diagram can be interpreted as the intersection of a regular 3d voronoi d...

Using Emgu CV I have extracted a set of closed polygons from the contours in an image of a road network. The polygons represent road outlines. The result is shown below, plotted over an OpenStreetM...

Firstly, I am new to CGAL, but program in C++ a lot. I would like to use CGAL to construct Voronoi diagram of points on the sphere. I have implemented one by myself for one of my research, but the ...

Can someone point me to a reference implementation on how to construct a (multiplicatively and/or additively) weighted voronoi diagram, which is preferably based on Fortune's voronoi algorithm? My...