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<title>__init__.py</title>
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<div class='docs'><h1>__init__.py</h1></div>
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<div class="highlight"><pre><span class="n">__all__</span> <span class="o">=</span> <span class="p">[</span><span class="s">&#39;create_point_store&#39;</span><span class="p">,</span> <span class="s">&#39;unify_polygon&#39;</span><span class="p">,</span> <span class="s">&#39;unify_polygons&#39;</span><span class="p">,</span> <span class="s">&#39;simplify_lines&#39;</span><span class="p">]</span>
<span class="kn">from</span> <span class="nn">unify</span> <span class="kn">import</span> <span class="o">*</span>
<span class="kn">from</span> <span class="nn">distance</span> <span class="kn">import</span> <span class="n">simplify_distance</span>
<span class="kn">from</span> <span class="nn">douglas_peucker</span> <span class="kn">import</span> <span class="n">simplify_douglas_peucker</span>
<span class="kn">from</span> <span class="nn">visvalingam</span> <span class="kn">import</span> <span class="n">simplify_visvalingam_whyatt</span>
<span class="n">simplification_methods</span> <span class="o">=</span> <span class="nb">dict</span><span class="p">()</span>
<span class="n">simplification_methods</span><span class="p">[</span><span class="s">&#39;distance&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">simplify_distance</span>
<span class="n">simplification_methods</span><span class="p">[</span><span class="s">&#39;douglas-peucker&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">simplify_douglas_peucker</span>
<span class="n">simplification_methods</span><span class="p">[</span><span class="s">&#39;visvalingam-whyatt&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">simplify_visvalingam_whyatt</span></pre></div>
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<p>simplifies a set of lines</p>
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<div class='code'>
<div class="highlight"><pre><span class="k">def</span> <span class="nf">simplify_lines</span><span class="p">(</span><span class="n">lines</span><span class="p">,</span> <span class="n">method</span><span class="p">,</span> <span class="n">params</span><span class="p">):</span></pre></div>
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<div class="highlight"><pre> <span class="n">simplify</span> <span class="o">=</span> <span class="n">simplification_methods</span><span class="p">[</span><span class="n">method</span><span class="p">]</span>
<span class="n">out</span> <span class="o">=</span> <span class="p">[]</span>
<span class="k">for</span> <span class="n">line</span> <span class="ow">in</span> <span class="n">lines</span><span class="p">:</span></pre></div>
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<p>remove duplicate points from line</p>
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<div class='code'>
<div class="highlight"><pre> <span class="n">unique</span> <span class="o">=</span> <span class="p">[</span><span class="n">line</span><span class="p">[</span><span class="mi">0</span><span class="p">]]</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="nb">len</span><span class="p">(</span><span class="n">line</span><span class="p">)):</span>
<span class="k">if</span> <span class="n">line</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">!=</span> <span class="n">line</span><span class="p">[</span><span class="n">i</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]:</span>
<span class="n">unique</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">line</span><span class="p">[</span><span class="n">i</span><span class="p">])</span>
<span class="n">simplify</span><span class="p">(</span><span class="n">unique</span><span class="p">,</span> <span class="n">params</span><span class="p">)</span>
<span class="n">out</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">unique</span><span class="p">)</span>
<span class="k">return</span> <span class="n">out</span>
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<!DOCTYPE html>
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<title>distance.py</title>
<link rel="stylesheet" href="../pycco.css">
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<div class='docs'><h1>distance.py</h1></div>
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<p>simplifies a line segment using a very simple algorithm that checks the distance
to the last non-deleted point. the algorithm operates on line segments.</p>
<p>in order to preserve topology of the original polygons the algorithm
- never removes the first or the last point of a line segment
- flags all points as simplified after processing (so it won't be processed twice)</p>
</div>
<div class='code'>
<div class="highlight"><pre><span class="k">def</span> <span class="nf">simplify_distance</span><span class="p">(</span><span class="n">points</span><span class="p">,</span> <span class="n">dist</span><span class="p">):</span></pre></div>
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<div class="highlight"><pre> <span class="n">dist_sq</span> <span class="o">=</span> <span class="n">dist</span> <span class="o">*</span> <span class="n">dist</span>
<span class="n">n</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">points</span><span class="p">)</span>
<span class="n">kept</span> <span class="o">=</span> <span class="p">[]</span>
<span class="n">deleted</span> <span class="o">=</span> <span class="mi">0</span>
<span class="k">if</span> <span class="n">n</span> <span class="o">&lt;</span> <span class="mi">4</span><span class="p">:</span>
<span class="k">return</span> <span class="n">points</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="n">n</span><span class="p">):</span>
<span class="n">pt</span> <span class="o">=</span> <span class="n">points</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
<span class="k">if</span> <span class="n">i</span> <span class="o">==</span> <span class="mi">0</span> <span class="ow">or</span> <span class="n">i</span> <span class="o">==</span> <span class="n">n</span> <span class="o">-</span> <span class="mi">1</span><span class="p">:</span></pre></div>
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<p>never remove first or last point of line</p>
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<div class='code'>
<div class="highlight"><pre> <span class="n">pt</span><span class="o">.</span><span class="n">simplified</span> <span class="o">=</span> <span class="bp">True</span>
<span class="n">lpt</span> <span class="o">=</span> <span class="n">pt</span>
<span class="n">kept</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">pt</span><span class="p">)</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">d</span> <span class="o">=</span> <span class="p">(</span><span class="n">pt</span><span class="o">.</span><span class="n">x</span> <span class="o">-</span> <span class="n">lpt</span><span class="o">.</span><span class="n">x</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">pt</span><span class="o">.</span><span class="n">x</span> <span class="o">-</span> <span class="n">lpt</span><span class="o">.</span><span class="n">x</span><span class="p">)</span> <span class="o">+</span> <span class="p">(</span><span class="n">pt</span><span class="o">.</span><span class="n">y</span> <span class="o">-</span> <span class="n">lpt</span><span class="o">.</span><span class="n">y</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">pt</span><span class="o">.</span><span class="n">y</span> <span class="o">-</span> <span class="n">lpt</span><span class="o">.</span><span class="n">y</span><span class="p">)</span> <span class="c"># compute distance to last point</span>
<span class="k">if</span> <span class="n">pt</span><span class="o">.</span><span class="n">simplified</span> <span class="ow">or</span> <span class="n">d</span> <span class="o">&gt;</span> <span class="n">dist_sq</span><span class="p">:</span> <span class="c"># if point already handled or distance exceeds threshold..</span>
<span class="n">kept</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">pt</span><span class="p">)</span> <span class="c"># ..keep the point</span>
<span class="n">lpt</span> <span class="o">=</span> <span class="n">pt</span>
<span class="k">else</span><span class="p">:</span> <span class="c"># otherwise remove it</span>
<span class="n">deleted</span> <span class="o">+=</span> <span class="mi">1</span>
<span class="n">pt</span><span class="o">.</span><span class="n">deleted</span> <span class="o">=</span> <span class="bp">True</span>
<span class="n">pt</span><span class="o">.</span><span class="n">simplified</span> <span class="o">=</span> <span class="bp">True</span>
<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">kept</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mi">4</span><span class="p">:</span>
<span class="k">for</span> <span class="n">pt</span> <span class="ow">in</span> <span class="n">points</span><span class="p">:</span>
<span class="n">pt</span><span class="o">.</span><span class="n">deleted</span> <span class="o">=</span> <span class="bp">False</span>
<span class="k">return</span> <span class="n">points</span>
<span class="k">return</span> <span class="n">kept</span></pre></div>
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<p>print 'kept %d deleted %d' % (kept, deleted)</p>
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<title>douglas_peucker.py</title>
<link rel="stylesheet" href="../pycco.css">
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<body>
<div id="background"></div>
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<div class='docs'><h1>douglas_peucker.py</h1></div>
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<p>simplifies a line segment using the Douglas-Peucker algorithm.</p>
<p>taken from
http://en.wikipedia.org/wiki/Ramer%E2%80%93Douglas%E2%80%93Peucker_algorithm#Pseudocode</p>
<p>in order to preserve topology of the original polygons the algorithm
- never removes the first or the last point of a line segment
- flags all points as simplified after processing (so it won't be processed twice)</p>
</div>
<div class='code'>
<div class="highlight"><pre><span class="k">def</span> <span class="nf">simplify_douglas_peucker</span><span class="p">(</span><span class="n">points</span><span class="p">,</span> <span class="n">epsilon</span><span class="p">):</span></pre></div>
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<div class="highlight"><pre> <span class="n">n</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">points</span><span class="p">)</span>
<span class="n">kept</span> <span class="o">=</span> <span class="p">[]</span>
<span class="k">if</span> <span class="n">n</span> <span class="o">&lt;</span> <span class="mi">4</span><span class="p">:</span>
<span class="k">return</span> <span class="n">points</span> <span class="c"># skip short lines</span>
<span class="k">if</span> <span class="ow">not</span> <span class="n">points</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">.</span><span class="n">simplified</span><span class="p">:</span>
<span class="n">_douglas_peucker</span><span class="p">(</span><span class="n">points</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="n">n</span> <span class="o">-</span> <span class="mi">1</span><span class="p">,</span> <span class="n">epsilon</span><span class="p">)</span>
<span class="k">return</span> <span class="n">kept</span></pre></div>
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<a class='octothorpe' href='#section-3'>#</a>
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<p>print 'kept %d deleted %d' % (kept, deleted)</p>
</div>
<div class='code'>
<div class="highlight"><pre></pre></div>
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<p>inner part of Douglas-Peucker algorithm, called recursively</p>
</div>
<div class='code'>
<div class="highlight"><pre><span class="k">def</span> <span class="nf">_douglas_peucker</span><span class="p">(</span><span class="n">points</span><span class="p">,</span> <span class="n">start</span><span class="p">,</span> <span class="n">end</span><span class="p">,</span> <span class="n">epsilon</span><span class="p">):</span></pre></div>
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<div class="highlight"><pre> <span class="n">dmax</span> <span class="o">=</span> <span class="mi">0</span>
<span class="n">index</span> <span class="o">=</span> <span class="mi">0</span></pre></div>
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<p>Find the point with the maximum distance</p>
</div>
<div class='code'>
<div class="highlight"><pre> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">start</span> <span class="o">+</span> <span class="mi">1</span><span class="p">,</span> <span class="n">end</span><span class="p">):</span>
<span class="n">x1</span><span class="p">,</span> <span class="n">y1</span> <span class="o">=</span> <span class="n">points</span><span class="p">[</span><span class="n">start</span><span class="p">]</span>
<span class="n">x2</span><span class="p">,</span> <span class="n">y2</span> <span class="o">=</span> <span class="n">points</span><span class="p">[</span><span class="n">end</span><span class="p">]</span>
<span class="k">if</span> <span class="n">x1</span> <span class="o">==</span> <span class="n">x2</span> <span class="ow">and</span> <span class="n">y1</span> <span class="o">==</span> <span class="n">y2</span><span class="p">:</span>
<span class="k">return</span>
<span class="n">x3</span><span class="p">,</span> <span class="n">y3</span> <span class="o">=</span> <span class="n">points</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
<span class="n">d</span> <span class="o">=</span> <span class="n">_min_distance</span><span class="p">(</span><span class="n">x1</span><span class="p">,</span> <span class="n">y1</span><span class="p">,</span> <span class="n">x2</span><span class="p">,</span> <span class="n">y2</span><span class="p">,</span> <span class="n">x3</span><span class="p">,</span> <span class="n">y3</span><span class="p">)</span>
<span class="k">if</span> <span class="n">d</span> <span class="o">&gt;</span> <span class="n">dmax</span><span class="p">:</span>
<span class="n">index</span> <span class="o">=</span> <span class="n">i</span>
<span class="n">dmax</span> <span class="o">=</span> <span class="n">d</span></pre></div>
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<p>If max distance is greater than epsilon, recursively simplify</p>
</div>
<div class='code'>
<div class="highlight"><pre> <span class="k">if</span> <span class="n">dmax</span> <span class="o">&gt;=</span> <span class="n">epsilon</span> <span class="ow">and</span> <span class="n">start</span> <span class="o">&lt;</span> <span class="n">index</span> <span class="o">&lt;</span> <span class="n">end</span><span class="p">:</span></pre></div>
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<p>recursivly call</p>
</div>
<div class='code'>
<div class="highlight"><pre> <span class="n">_douglas_peucker</span><span class="p">(</span><span class="n">points</span><span class="p">,</span> <span class="n">start</span><span class="p">,</span> <span class="n">index</span><span class="p">,</span> <span class="n">epsilon</span><span class="p">)</span>
<span class="n">_douglas_peucker</span><span class="p">(</span><span class="n">points</span><span class="p">,</span> <span class="n">index</span><span class="p">,</span> <span class="n">end</span><span class="p">,</span> <span class="n">epsilon</span><span class="p">)</span>
<span class="k">else</span><span class="p">:</span></pre></div>
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<p>remove any point but the first and last</p>
</div>
<div class='code'>
<div class="highlight"><pre> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">start</span><span class="p">,</span> <span class="n">end</span> <span class="o">+</span> <span class="mi">1</span><span class="p">):</span>
<span class="n">points</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">.</span><span class="n">deleted</span> <span class="o">=</span> <span class="n">i</span> <span class="o">==</span> <span class="n">start</span> <span class="ow">or</span> <span class="n">i</span> <span class="o">==</span> <span class="n">end</span>
<span class="n">points</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">.</span><span class="n">simplified</span> <span class="o">=</span> <span class="bp">True</span></pre></div>
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<div class='section' id='section-10'>
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<a class='octothorpe' href='#section-10'>#</a>
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<p>the perpendicular distance from a point (x3,y3) to the line from (x1,y1) to (x2,y2)
taken from http://local.wasp.uwa.edu.au/~pbourke/geometry/pointline/</p>
</div>
<div class='code'>
<div class="highlight"><pre><span class="k">def</span> <span class="nf">_min_distance</span><span class="p">(</span><span class="n">x1</span><span class="p">,</span> <span class="n">y1</span><span class="p">,</span> <span class="n">x2</span><span class="p">,</span> <span class="n">y2</span><span class="p">,</span> <span class="n">x3</span><span class="p">,</span> <span class="n">y3</span><span class="p">):</span></pre></div>
</div>
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<div class='section' id='section-11'>
<div class='docs'>
<div class='octowrap'>
<a class='octothorpe' href='#section-11'>#</a>
</div>
</div>
<div class='code'>
<div class="highlight"><pre> <span class="n">d</span> <span class="o">=</span> <span class="n">_dist</span><span class="p">(</span><span class="n">x1</span><span class="p">,</span> <span class="n">y1</span><span class="p">,</span> <span class="n">x2</span><span class="p">,</span> <span class="n">y2</span><span class="p">)</span>
<span class="n">u</span> <span class="o">=</span> <span class="p">(</span><span class="n">x3</span> <span class="o">-</span> <span class="n">x1</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">x2</span> <span class="o">-</span> <span class="n">x1</span><span class="p">)</span> <span class="o">+</span> <span class="p">(</span><span class="n">y3</span> <span class="o">-</span> <span class="n">y1</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">y2</span> <span class="o">-</span> <span class="n">y1</span><span class="p">)</span> <span class="o">/</span> <span class="p">(</span><span class="n">d</span> <span class="o">*</span> <span class="n">d</span><span class="p">)</span>
<span class="n">x</span> <span class="o">=</span> <span class="n">x1</span> <span class="o">+</span> <span class="n">u</span> <span class="o">*</span> <span class="p">(</span><span class="n">x2</span> <span class="o">-</span> <span class="n">x1</span><span class="p">)</span>
<span class="n">y</span> <span class="o">=</span> <span class="n">y1</span> <span class="o">+</span> <span class="n">u</span> <span class="o">*</span> <span class="p">(</span><span class="n">y2</span> <span class="o">-</span> <span class="n">y1</span><span class="p">)</span>
<span class="k">return</span> <span class="n">_dist</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="n">x3</span><span class="p">,</span> <span class="n">y3</span><span class="p">)</span></pre></div>
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<div class='docs'>
<div class='octowrap'>
<a class='octothorpe' href='#section-12'>#</a>
</div>
<p>eucledian distance between two points</p>
</div>
<div class='code'>
<div class="highlight"><pre><span class="k">def</span> <span class="nf">_dist</span><span class="p">(</span><span class="n">x1</span><span class="p">,</span> <span class="n">y1</span><span class="p">,</span> <span class="n">x2</span><span class="p">,</span> <span class="n">y2</span><span class="p">):</span></pre></div>
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<div class='section' id='section-13'>
<div class='docs'>
<div class='octowrap'>
<a class='octothorpe' href='#section-13'>#</a>
</div>
</div>
<div class='code'>
<div class="highlight"><pre> <span class="kn">import</span> <span class="nn">math</span>
<span class="n">dx</span> <span class="o">=</span> <span class="n">x2</span> <span class="o">-</span> <span class="n">x1</span>
<span class="n">dy</span> <span class="o">=</span> <span class="n">y2</span> <span class="o">-</span> <span class="n">y1</span>
<span class="k">return</span> <span class="n">math</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">dx</span> <span class="o">*</span> <span class="n">dx</span> <span class="o">+</span> <span class="n">dy</span> <span class="o">*</span> <span class="n">dy</span><span class="p">)</span>
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<!DOCTYPE html>
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<meta http-equiv="content-type" content="text/html;charset=utf-8">
<title>mpoint.py</title>
<link rel="stylesheet" href="../pycco.css">
</head>
<body>
<div id="background"></div>
<div id='container'>
<div class='section'>
<div class='docs'><h1>mpoint.py</h1></div>
</div>
<div class='clearall'>
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<div class='docs'>
<div class='octowrap'>
<a class='octothorpe' href='#section-0'>#</a>
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<a class='octothorpe' href='#section-1'>#</a>
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<p>Point class used for polygon simplification</p>
</div>
<div class='code'>
<div class="highlight"><pre><span class="k">class</span> <span class="nc">MPoint</span><span class="p">:</span></pre></div>
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<div class='section' id='section-2'>
<div class='docs'>
<div class='octowrap'>
<a class='octothorpe' href='#section-2'>#</a>
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</div>
<div class='code'>
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">x</span> <span class="o">=</span> <span class="n">x</span>
<span class="bp">self</span><span class="o">.</span><span class="n">y</span> <span class="o">=</span> <span class="n">y</span>
<span class="bp">self</span><span class="o">.</span><span class="n">simplified</span> <span class="o">=</span> <span class="bp">False</span>
<span class="bp">self</span><span class="o">.</span><span class="n">deleted</span> <span class="o">=</span> <span class="bp">False</span>
<span class="bp">self</span><span class="o">.</span><span class="n">keep</span> <span class="o">=</span> <span class="bp">False</span>
<span class="bp">self</span><span class="o">.</span><span class="n">features</span> <span class="o">=</span> <span class="nb">set</span><span class="p">()</span></pre></div>
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<div class='section' id='section-3'>
<div class='docs'>
<div class='octowrap'>
<a class='octothorpe' href='#section-3'>#</a>
</div>
</div>
<div class='code'>
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">isDeletable</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">keep</span> <span class="ow">or</span> <span class="bp">self</span><span class="o">.</span><span class="n">simplified</span> <span class="ow">or</span> <span class="bp">self</span><span class="o">.</span><span class="n">three</span><span class="p">:</span>
<span class="k">return</span> <span class="bp">False</span>
<span class="k">return</span> <span class="bp">True</span></pre></div>
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<div class='docs'>
<div class='octowrap'>
<a class='octothorpe' href='#section-4'>#</a>
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</div>
<div class='code'>
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">__repr__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="k">return</span> <span class="s">&#39;Pt(</span><span class="si">%.2f</span><span class="s">,</span><span class="si">%.2f</span><span class="s">)&#39;</span> <span class="o">%</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">y</span><span class="p">)</span></pre></div>
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<a class='octothorpe' href='#section-5'>#</a>
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</div>
<div class='code'>
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">__len__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="k">return</span> <span class="mi">2</span></pre></div>
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<a class='octothorpe' href='#section-6'>#</a>
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</div>
<div class='code'>
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">__getitem__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">key</span><span class="p">):</span>
<span class="k">if</span> <span class="n">key</span> <span class="o">==</span> <span class="mi">0</span><span class="p">:</span>
<span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">x</span>
<span class="k">if</span> <span class="n">key</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
<span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">y</span>
<span class="k">raise</span> <span class="ne">IndexError</span><span class="p">()</span></pre></div>
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<div class='octowrap'>
<a class='octothorpe' href='#section-7'>#</a>
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</div>
<div class='code'>
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">__contains__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">key</span><span class="p">):</span>
<span class="k">if</span> <span class="n">key</span> <span class="o">==</span> <span class="s">&quot;deleted&quot;</span><span class="p">:</span>
<span class="k">return</span> <span class="bp">True</span>
<span class="k">return</span> <span class="bp">False</span>
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<!DOCTYPE html>
<html>
<head>
<meta http-equiv="content-type" content="text/html;charset=utf-8">
<title>unify.py</title>
<link rel="stylesheet" href="../pycco.css">
</head>
<body>
<div id="background"></div>
<div id='container'>
<div class='section'>
<div class='docs'><h1>unify.py</h1></div>
</div>
<div class='clearall'>
<div class='section' id='section-0'>
<div class='docs'>
<div class='octowrap'>
<a class='octothorpe' href='#section-0'>#</a>
</div>
<p>the whole point of the unification step is to convert all points into unique MPoint instances</p>
</div>
<div class='code'>
<div class="highlight"><pre><span class="kn">from</span> <span class="nn">mpoint</span> <span class="kn">import</span> <span class="n">MPoint</span></pre></div>
</div>
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<div class='section' id='section-1'>
<div class='docs'>
<div class='octowrap'>
<a class='octothorpe' href='#section-1'>#</a>
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</div>
<div class='code'>
<div class="highlight"><pre></pre></div>
</div>
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<div class='section' id='section-2'>
<div class='docs'>
<div class='octowrap'>
<a class='octothorpe' href='#section-2'>#</a>
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<p>creates a new point_store</p>
</div>
<div class='code'>
<div class="highlight"><pre><span class="k">def</span> <span class="nf">create_point_store</span><span class="p">():</span></pre></div>
</div>
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</div>
<div class='code'>
<div class="highlight"><pre> <span class="n">point_store</span> <span class="o">=</span> <span class="p">{</span><span class="s">&#39;kept&#39;</span><span class="p">:</span> <span class="mi">0</span><span class="p">,</span> <span class="s">&#39;removed&#39;</span><span class="p">:</span> <span class="mi">0</span><span class="p">}</span>
<span class="k">return</span> <span class="n">point_store</span></pre></div>
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<div class='clearall'></div>
<div class='section' id='section-4'>
<div class='docs'>
<div class='octowrap'>
<a class='octothorpe' href='#section-4'>#</a>
</div>
</div>
<div class='code'>
<div class="highlight"><pre><span class="k">def</span> <span class="nf">unify_rings</span><span class="p">(</span><span class="n">rings</span><span class="p">,</span> <span class="n">point_store</span><span class="p">,</span> <span class="n">precision</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">feature</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
<span class="n">out</span> <span class="o">=</span> <span class="p">[]</span>
<span class="k">for</span> <span class="n">ring</span> <span class="ow">in</span> <span class="n">rings</span><span class="p">:</span>
<span class="n">out</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">unify_ring</span><span class="p">(</span><span class="n">ring</span><span class="p">,</span> <span class="n">point_store</span><span class="p">,</span> <span class="n">precision</span><span class="o">=</span><span class="n">precision</span><span class="p">,</span> <span class="n">feature</span><span class="o">=</span><span class="n">feature</span><span class="p">))</span>
<span class="k">return</span> <span class="n">out</span></pre></div>
</div>
</div>
<div class='clearall'></div>
<div class='section' id='section-5'>
<div class='docs'>
<div class='octowrap'>
<a class='octothorpe' href='#section-5'>#</a>
</div>
<p>Replaces duplicate points with MPoint instances</p>
</div>
<div class='code'>
<div class="highlight"><pre><span class="k">def</span> <span class="nf">unify_ring</span><span class="p">(</span><span class="n">ring</span><span class="p">,</span> <span class="n">point_store</span><span class="p">,</span> <span class="n">precision</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">feature</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span></pre></div>
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<div class='section' id='section-6'>
<div class='docs'>
<div class='octowrap'>
<a class='octothorpe' href='#section-6'>#</a>
</div>
</div>
<div class='code'>
<div class="highlight"><pre> <span class="n">out_ring</span> <span class="o">=</span> <span class="p">[]</span>
<span class="n">lptid</span> <span class="o">=</span> <span class="s">&#39;&#39;</span>
<span class="k">for</span> <span class="n">pt</span> <span class="ow">in</span> <span class="n">ring</span><span class="p">:</span>
<span class="k">if</span> <span class="s">&#39;deleted&#39;</span> <span class="ow">not</span> <span class="ow">in</span> <span class="n">pt</span><span class="p">:</span>
<span class="n">pt</span> <span class="o">=</span> <span class="n">MPoint</span><span class="p">(</span><span class="n">pt</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">pt</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span> <span class="c"># eventually convert to MPoint</span></pre></div>
</div>
</div>
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<div class='section' id='section-7'>
<div class='docs'>
<div class='octowrap'>
<a class='octothorpe' href='#section-7'>#</a>
</div>
<p>generate hash for point</p>
</div>
<div class='code'>
<div class="highlight"><pre> <span class="k">if</span> <span class="n">precision</span> <span class="ow">is</span> <span class="ow">not</span> <span class="bp">None</span><span class="p">:</span>
<span class="n">fmt</span> <span class="o">=</span> <span class="s">&#39;%&#39;</span> <span class="o">+</span> <span class="n">precision</span> <span class="o">+</span> <span class="s">&#39;f-%&#39;</span> <span class="o">+</span> <span class="n">precision</span> <span class="o">+</span> <span class="s">&#39;f&#39;</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">fmt</span> <span class="o">=</span> <span class="s">&#39;</span><span class="si">%f</span><span class="s">-</span><span class="si">%f</span><span class="s">&#39;</span>
<span class="n">pid</span> <span class="o">=</span> <span class="n">fmt</span> <span class="o">%</span> <span class="p">(</span><span class="n">pt</span><span class="o">.</span><span class="n">x</span><span class="p">,</span> <span class="n">pt</span><span class="o">.</span><span class="n">y</span><span class="p">)</span>
<span class="k">if</span> <span class="n">pid</span> <span class="o">==</span> <span class="n">lptid</span><span class="p">:</span>
<span class="k">continue</span> <span class="c"># skip double points</span>
<span class="n">lptid</span> <span class="o">=</span> <span class="n">pid</span>
<span class="k">if</span> <span class="n">pid</span> <span class="ow">in</span> <span class="n">point_store</span><span class="p">:</span></pre></div>
</div>
</div>
<div class='clearall'></div>
<div class='section' id='section-8'>
<div class='docs'>
<div class='octowrap'>
<a class='octothorpe' href='#section-8'>#</a>
</div>
<p>load existing point from point store</p>
</div>
<div class='code'>
<div class="highlight"><pre> <span class="n">point</span> <span class="o">=</span> <span class="n">point_store</span><span class="p">[</span><span class="n">pid</span><span class="p">]</span>
<span class="n">point_store</span><span class="p">[</span><span class="s">&#39;removed&#39;</span><span class="p">]</span> <span class="o">+=</span> <span class="mi">1</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">point</span> <span class="o">=</span> <span class="n">pt</span>
<span class="n">point_store</span><span class="p">[</span><span class="s">&#39;kept&#39;</span><span class="p">]</span> <span class="o">+=</span> <span class="mi">1</span>
<span class="n">point_store</span><span class="p">[</span><span class="n">pid</span><span class="p">]</span> <span class="o">=</span> <span class="n">pt</span>
<span class="n">point</span><span class="o">.</span><span class="n">features</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="n">feature</span><span class="p">)</span>
<span class="n">out_ring</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">point</span><span class="p">)</span>
<span class="k">return</span> <span class="n">out_ring</span>
</pre></div>
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<title>visvalingam.py</title>
<link rel="stylesheet" href="../pycco.css">
</head>
<body>
<div id="background"></div>
<div id='container'>
<div class='section'>
<div class='docs'><h1>visvalingam.py</h1></div>
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<div class='section' id='section-0'>
<div class='docs'>
<div class='octowrap'>
<a class='octothorpe' href='#section-0'>#</a>
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<p>Visvalingam-Whyatt simplification</p>
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<div class="highlight"><pre><span class="k">def</span> <span class="nf">simplify_visvalingam_whyatt</span><span class="p">(</span><span class="n">points</span><span class="p">,</span> <span class="n">tolerance</span><span class="p">):</span></pre></div>
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<p>mplementation borrowed from @migurski:
ttps://github.com/migurski/Bloch/blob/master/Bloch/<strong>init</strong>.py#L133</p>
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<div class="highlight"><pre> <span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">points</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mi">3</span><span class="p">:</span>
<span class="k">return</span>
<span class="k">if</span> <span class="n">points</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">.</span><span class="n">simplified</span><span class="p">:</span>
<span class="k">return</span>
<span class="n">min_area</span> <span class="o">=</span> <span class="n">tolerance</span> <span class="o">**</span> <span class="mi">2</span>
<span class="n">pts</span> <span class="o">=</span> <span class="nb">range</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">points</span><span class="p">))</span> <span class="c"># pts stores an index of all non-deleted points</span>
<span class="k">while</span> <span class="nb">len</span><span class="p">(</span><span class="n">pts</span><span class="p">)</span> <span class="o">&gt;</span> <span class="mi">4</span><span class="p">:</span>
<span class="n">preserved</span><span class="p">,</span> <span class="n">popped</span> <span class="o">=</span> <span class="nb">set</span><span class="p">(),</span> <span class="p">[]</span>
<span class="n">areas</span> <span class="o">=</span> <span class="p">[]</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="nb">len</span><span class="p">(</span><span class="n">pts</span><span class="p">)</span> <span class="o">-</span> <span class="mi">1</span><span class="p">):</span>
<span class="n">x1</span><span class="p">,</span> <span class="n">y1</span> <span class="o">=</span> <span class="n">points</span><span class="p">[</span><span class="n">pts</span><span class="p">[</span><span class="n">i</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]]</span>
<span class="n">x2</span><span class="p">,</span> <span class="n">y2</span> <span class="o">=</span> <span class="n">points</span><span class="p">[</span><span class="n">pts</span><span class="p">[</span><span class="n">i</span><span class="p">]]</span>
<span class="n">x3</span><span class="p">,</span> <span class="n">y3</span> <span class="o">=</span> <span class="n">points</span><span class="p">[</span><span class="n">pts</span><span class="p">[</span><span class="n">i</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]]</span></pre></div>
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<p>compute and store triangle area</p>
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<div class="highlight"><pre> <span class="n">areas</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="n">_tri_area</span><span class="p">(</span><span class="n">x1</span><span class="p">,</span> <span class="n">y1</span><span class="p">,</span> <span class="n">x2</span><span class="p">,</span> <span class="n">y2</span><span class="p">,</span> <span class="n">x3</span><span class="p">,</span> <span class="n">y3</span><span class="p">),</span> <span class="n">i</span><span class="p">))</span>
<span class="n">areas</span> <span class="o">=</span> <span class="nb">sorted</span><span class="p">(</span><span class="n">areas</span><span class="p">)</span>
<span class="k">if</span> <span class="ow">not</span> <span class="n">areas</span> <span class="ow">or</span> <span class="n">areas</span><span class="p">[</span><span class="mi">0</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span> <span class="o">&gt;</span> <span class="n">min_area</span><span class="p">:</span></pre></div>
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<p>there's nothing to be done</p>
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<div class="highlight"><pre> <span class="k">for</span> <span class="n">pt</span> <span class="ow">in</span> <span class="n">points</span><span class="p">:</span>
<span class="n">pt</span><span class="o">.</span><span class="n">simplified</span> <span class="o">=</span> <span class="bp">True</span>
<span class="k">break</span></pre></div>
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<p>Reduce any segments that makes a triangle whose area is below
the minimum threshold, starting with the smallest and working up.
Mark segments to be preserved until the next iteration.</p>
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<div class="highlight"><pre> <span class="k">for</span> <span class="p">(</span><span class="n">area</span><span class="p">,</span> <span class="n">i</span><span class="p">)</span> <span class="ow">in</span> <span class="n">areas</span><span class="p">:</span>
<span class="k">if</span> <span class="n">area</span> <span class="o">&gt;</span> <span class="n">min_area</span><span class="p">:</span></pre></div>
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<p>there won't be any more points to remove.</p>
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<div class="highlight"><pre> <span class="k">break</span>
<span class="k">if</span> <span class="n">i</span> <span class="o">-</span> <span class="mi">1</span> <span class="ow">in</span> <span class="n">preserved</span> <span class="ow">or</span> <span class="n">i</span> <span class="o">+</span> <span class="mi">1</span> <span class="ow">in</span> <span class="n">preserved</span><span class="p">:</span></pre></div>
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<p>the current segment is too close to a previously-preserved one.
print "-pre", preserved</p>
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<div class="highlight"><pre> <span class="k">continue</span>
<span class="n">points</span><span class="p">[</span><span class="n">pts</span><span class="p">[</span><span class="n">i</span><span class="p">]]</span><span class="o">.</span><span class="n">deleted</span> <span class="o">=</span> <span class="bp">True</span>
<span class="n">popped</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">i</span><span class="p">)</span></pre></div>
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<p>make sure that the adjacent points</p>
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<div class="highlight"><pre> <span class="n">preserved</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="n">i</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span>
<span class="n">preserved</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="n">i</span> <span class="o">+</span> <span class="mi">1</span><span class="p">)</span>
<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">popped</span><span class="p">)</span> <span class="o">==</span> <span class="mi">0</span><span class="p">:</span></pre></div>
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<p>no points removed, so break out of loop</p>
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<div class="highlight"><pre> <span class="k">break</span>
<span class="n">popped</span> <span class="o">=</span> <span class="nb">sorted</span><span class="p">(</span><span class="n">popped</span><span class="p">,</span> <span class="n">reverse</span><span class="o">=</span><span class="bp">True</span><span class="p">)</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">popped</span><span class="p">:</span></pre></div>
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<p>remove point from index list</p>
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<div class="highlight"><pre> <span class="n">pts</span> <span class="o">=</span> <span class="n">pts</span><span class="p">[:</span><span class="n">i</span><span class="p">]</span> <span class="o">+</span> <span class="n">pts</span><span class="p">[</span><span class="n">i</span> <span class="o">+</span> <span class="mi">1</span><span class="p">:]</span>
<span class="k">for</span> <span class="n">pt</span> <span class="ow">in</span> <span class="n">points</span><span class="p">:</span>
<span class="n">pt</span><span class="o">.</span><span class="n">simplified</span> <span class="o">=</span> <span class="bp">True</span></pre></div>
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<p>computes the area of a triangle given by three points
implementation taken from:
http://www.btinternet.com/~se16/hgb/triangle.htm</p>
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<div class="highlight"><pre><span class="k">def</span> <span class="nf">_tri_area</span><span class="p">(</span><span class="n">x1</span><span class="p">,</span> <span class="n">y1</span><span class="p">,</span> <span class="n">x2</span><span class="p">,</span> <span class="n">y2</span><span class="p">,</span> <span class="n">x3</span><span class="p">,</span> <span class="n">y3</span><span class="p">):</span></pre></div>
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<div class="highlight"><pre> <span class="k">return</span> <span class="nb">abs</span><span class="p">((</span><span class="n">x2</span><span class="o">*</span><span class="n">y1</span><span class="o">-</span><span class="n">x1</span><span class="o">*</span><span class="n">y2</span><span class="p">)</span><span class="o">+</span><span class="p">(</span><span class="n">x3</span><span class="o">*</span><span class="n">y2</span><span class="o">-</span><span class="n">x2</span><span class="o">*</span><span class="n">y3</span><span class="p">)</span><span class="o">+</span><span class="p">(</span><span class="n">x1</span><span class="o">*</span><span class="n">y3</span><span class="o">-</span><span class="n">x3</span><span class="o">*</span><span class="n">y1</span><span class="p">))</span><span class="o">/</span><span class="mf">2.0</span>
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