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POhierarchy in voronoi tessellations
 

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  1. POhierarchy in voronoi tessellations
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    <p>I am working with voronoi tessellations. I have different polygons representing regions in the tessellations. </p> <p>The points below are used to draw the tessellation in the figure.</p> <pre><code>tessdata [,1] [,2] 1 -0.4960583 -0.3529047 2 -2.4986929 0.8897895 3 3.6514561 -1.3533369 4 -1.7263101 -5.5341202 5 2.2140143 0.3883696 6 -2.5208933 -1.4881461 7 -3.2556913 4.4535629 8 0.6423109 -2.8350062 9 -0.4160715 1.2676151 10 4.4059361 4.5641771 </code></pre> <p>Using <code>tessdata</code> as input to draw the tessellation as below:</p> <pre><code>library(deldir) dd&lt;-deldir(tessdata[,1], tessdata[,2]) plot(dd,wlines="tess") </code></pre> <p><img src="https://i.stack.imgur.com/119dJ.png" alt="enter image description here"></p> <p>Sammon coordinates are below.</p> <pre><code> [,1] [,2] 1 3.14162704 -1.45728604 2 2.35422623 2.46437927 3 -0.85051049 2.71503294 4 1.94310458 -0.45936958 5 0.08737757 3.74324701 6 1.23007799 1.34443842 7 0.01571924 2.19322032 8 1.43320754 2.64818631 9 -0.05463431 0.66980876 10 1.51344967 5.03351176 </code></pre> <p>I want to construct the tessellations for which the sammon coordinate points are input. The tessellation using these points should be within one of the regions in the figure shown and for that, the above points should be scaled or we can restrict the plot of the tessellation within one of the regions in the above figure.</p> <p>Hope i have covered all the necessary data.</p> <p>P.S: </p> <p>sammon's projection comes in "MASS" package. voronoi tessellations from "deldir" package.</p> <p>dirsgs argument of the deldir function output will give the coordinates of the points forming the lines in the tessellations.</p> <p>segments function of package graphics can be used to join the 2 points whose coordinates are extracted from dirsgs.</p>
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    1. COAnd what did you try to do already ?
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    2. COpossible duplicate of [sammon projection output within a polygon](http://stackoverflow.com/questions/14853503/sammon-projection-output-within-a-polygon)
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    3. COYou say you know how to restrict the tessellation, so is your question just how to scale the Sammon points into one of the polygons?
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