subFieldTopology.html

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                  <h2>Grids, cells, structures and topology</h2>

<br>
<h3>Lectures</h3>

<ul>
      <li> <a href="subfield/digital_representations.pdf">Digital
	  Representations</a> [PDF] Isabelle Bloch 
	<ul>Tessellation and grids, Digital
	topology, Representations of some geometrical entities and
	Distance Transform
	    </ul>

<li> <a href="subfield/invitedLecture_YungKong_DGCI2006.pdf">Minimal Non-Simple
	  and Minimal Non-Cosimple Sets in Binary Images on Cell
	  Complexes</a> [PDF] Yung Kong, <ul><b>DGCI2006 invited
	  lecture</b></ul>. 


</ul>

<br>
<h3>Slides and materials</h3>

<ul>
      <li>  <a href="subfield/GHGVF_Chen.ppt">Graph Homomorphism and Gradually Varied Functions</a> [PPT],
	L. Chen

 <li>  <a href="subfield/DSM_GW.pdf">   Discrete Surfaces and 
           Manifolds:
A Potential tool to Image Processing</a> [PDF],
	L. Chen

     <li>  <a href="subfield/2003_HSchulz.pdf"> Analysis and Structured
	  Representation of the Theory of Abstract Cell Complexes
	  Applied to Digital Topology and Digital Geometry</a> [PDF],
	H. Schulz, S. Fuchs, V.A. Kovalevsky

<li><a
	  href="http://www.mi.auckland.ac.nz/DATA/CCV/books/KR/pdf-LectureNotes/01slides.pdf">Pictures; Pixels and Voxels; Adjacency and Connectedness</a> (PDF, lecture 1, "Algorithms for Picture Analysis"), R. Klette
<li><a
	  href="http://www.mi.auckland.ac.nz/DATA/CCV/books/KR/pdf-LectureNotes/02slides.pdf">History of Digital Picture Analysis</a> (PDF, lecture 2, "Algorithms for Picture Analysis"), R. Klette
<li><a
	  href="http://www.mi.auckland.ac.nz/DATA/CCV/books/KR/pdf-LectureNotes/03slides.pdf">Component Labeling</a> (PDF, lecture 3, "Algorithms for Picture Analysis"), R. Klette

<li><a
	  href="http://www.mi.auckland.ac.nz/DATA/CCV/books/KR/pdf-LectureNotes/10slides.pdf"> Borders and Border Tracing</a> (PDF, lecture 10, "Algorithms for Picture Analysis"), R. Klette

<li><a
	  href="http://www.mi.auckland.ac.nz/DATA/CCV/books/KR/pdf-LectureNotes/11slides.pdf">  Holes, Planarity, and Region Adjacency</a> (PDF, lecture 11, "Algorithms for Picture Analysis"), R. Klette

<li><a
	  href="http://www.mi.auckland.ac.nz/DATA/CCV/books/KR/pdf-LectureNotes/12slides.pdf">  Properties of 2D Regions; Frontier Grid</a> (PDF, lecture 12, "Algorithms for Picture Analysis"), R. Klette

<li><a
	  href="http://www.mi.auckland.ac.nz/DATA/CCV/books/KR/pdf-LectureNotes/13slides.pdf">  The 2D and 3D Cellular Grid; Grid Cell Topology</a> (PDF, lecture 13, "Algorithms for Picture Analysis"), R. Klette

<li><a
	  href="http://www.mi.auckland.ac.nz/DATA/CCV/books/KR/pdf-LectureNotes/14slides.pdf">   2D Frontier Tracing and Euler Characteristic</a> (PDF, lecture 14, "Algorithms for Picture Analysis"), R. Klette
<li><a
	  href="http://www.mi.auckland.ac.nz/DATA/CCV/books/KR/pdf-LectureNotes/25slides.pdf">  3D Components, Borders, and Frontiers</a> (PDF, lecture 25, "Algorithms for Picture Analysis"), R. Klette
<li><a
	  href="http://www.mi.auckland.ac.nz/DATA/CCV/books/KR/pdf-LectureNotes/26slides.pdf">  Artzy-Herman Algorithm for Frontier Tracing</a> (PDF, lecture 26, "Algorithms for Picture Analysis"), R. Klette




</ul>


<h3>References</h3>
<br>
<br>
<h3>Dedicated data sets</h3>
<br>
<br>
<h3>Codes</h3>

<ul>
<li> TC18 Code web pages: <a href="code.html#grids">  Grid, cells, structures and topology</a>
</ul>


                    
                    
                    
                    
                    
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