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tutorial/chap5.html

@@ -244,7 +244,7 @@ <h4>5.4 <span class="Heading">A second example of digital image segmentation</sp
 
 <p><img src="images/coinsbettizero.gif" align="center" height="400" alt="barcode"/></p>
 
-<p>The pure cubical complex <span class="SimpleMath">M</span> has the correct number of path components, namely <span class="SimpleMath">25</span>, but its path components are very much subsets of the regions in the image corresponding to coins. The complex <span class="SimpleMath">M</span> can be thickened repeatedly, subject to no two path components being allowed to merge, in order to obtain a more realistic image segmentation with path components corresponding more closely to coins. This is done in the follow commands which use a makeshift function <code class="code">Basins(L)</code> available <span class="URL"><a href="tutex/basins.g">here</a></span>. The commands essentially implement the watershed segmentation algorithm using the language of filtered complexes.</p>
+<p>The pure cubical complex <span class="SimpleMath">M</span> has the correct number of path components, namely <span class="SimpleMath">25</span>, but its path components are very much subsets of the regions in the image corresponding to coins. The complex <span class="SimpleMath">M</span> can be thickened repeatedly, subject to no two path components being allowed to merge, in order to obtain a more realistic image segmentation with path components corresponding more closely to coins. This is done in the follow commands which use a makeshift function <code class="code">Basins(L)</code> available <span class="URL"><a href="tutex/basins.g">here</a></span>. The commands essentially implement the standard watershed segmentation algorithm but do so by using the language of filtered pure cubical complexes.</p>
 
 
 <div class="example"><pre>

tutorial/chap5.txt

@@ -199,8 +199,8 @@
   a  more realistic image segmentation with path components corresponding more
   closely  to coins. This is done in the follow commands which use a makeshift
   function Basins(L) available here (tutex/basins.g). The commands essentially
-  implement  the  watershed  segmentation  algorithm  using  the  language  of
-  filtered complexes.
+  implement  the  standard watershed segmentation algorithm but do so by using
+  the language of filtered pure cubical complexes.
 
     Example  
     gap> W:=PureComplexComplement(FiltrationTerm(T,25));;

tutorial/chap5_mj.html

@@ -247,7 +247,7 @@ <h4>5.4 <span class="Heading">A second example of digital image segmentation</sp
 
 <p><img src="images/coinsbettizero.gif" align="center" height="400" alt="barcode"/></p>
 
-<p>The pure cubical complex <span class="SimpleMath">\(M\)</span> has the correct number of path components, namely <span class="SimpleMath">\(25\)</span>, but its path components are very much subsets of the regions in the image corresponding to coins. The complex <span class="SimpleMath">\(M\)</span> can be thickened repeatedly, subject to no two path components being allowed to merge, in order to obtain a more realistic image segmentation with path components corresponding more closely to coins. This is done in the follow commands which use a makeshift function <code class="code">Basins(L)</code> available <span class="URL"><a href="tutex/basins.g">here</a></span>. The commands essentially implement the watershed segmentation algorithm using the language of filtered complexes.</p>
+<p>The pure cubical complex <span class="SimpleMath">\(M\)</span> has the correct number of path components, namely <span class="SimpleMath">\(25\)</span>, but its path components are very much subsets of the regions in the image corresponding to coins. The complex <span class="SimpleMath">\(M\)</span> can be thickened repeatedly, subject to no two path components being allowed to merge, in order to obtain a more realistic image segmentation with path components corresponding more closely to coins. This is done in the follow commands which use a makeshift function <code class="code">Basins(L)</code> available <span class="URL"><a href="tutex/basins.g">here</a></span>. The commands essentially implement the standard watershed segmentation algorithm but do so by using the language of filtered pure cubical complexes.</p>
 
 
 <div class="example"><pre>