Huhdanpaa, "The Quickhull Algorithm forĬonvex Hulls," ACM Transactions on Mathematical Software, Vol. Ĭonvhull, delaunay, LineSpec, plot, voronoin This triangulation uses the Qhull joggle option ( 'QJ'). If you supply no triangulation TRI, the voronoi function performs a Delaunay triangulation of the data that uses Qhull. This code uses voronoin and patch to fill the bounded cells of the same Voronoi diagram with color. Note that you can add this code to get the figure shown in Example 1.Įxample 3. This code uses the vertices of the finiteVoronoi edges to plot the Voronoi diagram for the same 10 points. This code uses the voronoi function to plot the Voronoi diagram for 10 randomly generated points.Įxample 2. Note that patch does not fill unbounded cells with color. To fill the cells with color, use voronoin with n = 2 to get the indices of each cell, and then use patch and other plot functions to generate the figure.This syntax returns the vertices of the finite Voronoi edges, which you can then plot with the plot function. To gain more control over color, line style, and other figure properties, use the syntax = voronoi(.).If you provide no output argument, voronoi plots the diagram.Use one of these methods to plot a Voronoi diagram: Returns the finite vertices of the Voronoi edges in vx and vy so that plot(vx,vy,'-',x,y,'.') creates the Voronoi diagram.įor the topology of the Voronoi diagram, i.e., the vertices for each Voronoi cell, use voronoin. Returns, in h, handles to the line objects created. Plots the diagram with color and line style specified. Uses the triangulation TRI instead of computing it via delaunay. Cells that contain a point at infinity are unbounded and are not plotted. Plots the bounded cells of the Voronoi diagram for the points x, y. Such a boundary is called a Voronoi polygon, and the set of all Voronoi polygons for a given point set is called a Voronoi diagram. For each point in the set, you can draw a boundary enclosing all the intermediate points lying closer to than to other points in the set. Definition of Voronoi in the dictionary. Voronoi (MATLAB Functions) MATLAB Function ReferenceĬonsider a set of coplanar points.
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