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<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>E I N L A D U N G<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>zum F-Seminar des Interdisziplinären Zentrums für
Bioinformatik (IZBI)/ des Instituts für Medizinische Informatik, Statistik und
Epidemiologie (IMISE) am Mittwoch, den <b><span style='font-weight:bold'>22.08.2012,
14:30 Uhr, im Raum 109 </span></b>in der Härtelstraße 16-18.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>Wir hören Vorträge von<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=FR style='font-size:10.0pt;
font-family:Arial'>Dr. Hermilo Sánchez-Cruz (Centro de Ciencias Basicas,
Universidad Autónoma de Aguascalientes, México)<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-GB style='font-size:
10.0pt;font-family:Arial'>mit dem Titel<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-GB style='font-size:
10.0pt;font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-GB style='font-size:
10.0pt;font-family:Arial'>"A Proposal for a Chain Code to represent 3D
Skeletons"<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-GB style='font-size:
10.0pt;font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-GB style='font-size:
10.0pt;font-family:Arial'>Abstract:<o:p></o:p></span></font></p>
<p class=MsoNormal><i><font size=2 face=Arial><span lang=EN-GB
style='font-size:10.0pt;font-family:Arial;font-style:italic'>A chain code to
represent 3D skeletons is proposed. The method is based on the concept of
equivalent voxel arrays, each of them associated to three main vectors: a
reference vector, a support vector, and a change direction vector. A set of
rotation transformations is defined in the 3D Euclidean space, and an alphabet
of only 25 symbols was found to represent any face, edge or vertex-connected
discrete curve. <o:p></o:p></span></font></i></p>
<p class=MsoNormal><i><font size=2 face=Arial><span lang=EN-GB
style='font-size:10.0pt;font-family:Arial;font-style:italic'>Also, we used the
code to represent skeletons using parenthesis and a lexicographical order to
traverse each of the branches. The proposal code is independent to translation,
rotation and mirror transformations. <o:p></o:p></span></font></i></p>
<p class=MsoNormal><i><font size=2 face=Arial><span lang=EN-GB
style='font-size:10.0pt;font-family:Arial;font-style:italic'>Finally, a set of
3D skeleton objects were utilized to prove the proposed code.<o:p></o:p></span></font></i></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-US style='font-size:
10.0pt;font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-US style='font-size:
10.0pt;font-family:Arial'>Und<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-US style='font-size:
10.0pt;font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-US style='font-size:
10.0pt;font-family:Arial'>Prof. Dr. Ernesto Bribiesca (Instituto de
Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional
Autónoma de México, Ciudad de México, México)<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-US style='font-size:
10.0pt;font-family:Arial'>Mit dem Titel<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-US style='font-size:
10.0pt;font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-US style='font-size:
10.0pt;font-family:Arial'>“</span></font><font size=2 face=Arial><span
lang=EN-GB style='font-size:10.0pt;font-family:Arial'>A Measure of Tortuosity
based on Chain Coding”<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-GB style='font-size:
10.0pt;font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-GB style='font-size:
10.0pt;font-family:Arial'>Abstract: <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-GB style='font-size:
10.0pt;font-family:Arial'>A measure of tortuosity for 2D curves is presented.
Tortuosity is a very important property of curves and has many applications,
such as: <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-GB style='font-size:
10.0pt;font-family:Arial'>how to measure the tortuosity of retinal blood
vessels, intra-cerebral vasculature, aluminium foams, etc. The measure of
tortuosity proposed here is based on a chain code called Slope Chain Code
(SCC). The SCC of a curve is obtained by placing straight-line segments of
constant length around the curve (the endpoints of the straight-line segments
always touching the curve, so a better description of the curve is obtained),
and calculating the slope changes between contiguous straight-line segments
scaled to a continuous range from -1 to 1. The SCC of a curve is independent of
translation, rotation, and optionally, of scaling, which is an important
advantage for computing tortuosity. Also, the minimum and maximum values of
tortuosity for curves and a measure of normalized tortuosity are described.
Finally, an application of the proposed measure of tortuosity is presented
which corresponds to the computation of retinal blood vessel tortuosity.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-GB style='font-size:
10.0pt;font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-GB style='font-size:
10.0pt;font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>Mit freundlichen Grüßen</span></font><o:p></o:p></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>Corinna Dittmann<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 color=blue face="Times New Roman"><span
style='font-size:12.0pt;color:blue'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=1 face=Arial><span style='font-size:9.0pt;
font-family:Arial'>Sekretariat - PD Dr. Hans Binder</span></font><font size=1><span
style='font-size:9.0pt'><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=1 face=Arial><span style='font-size:9.0pt;
font-family:Arial'>Sekretariat - Interdisziplinäres Zentrum für
Bioinformatik (IZBI)<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=1 face=Arial><span style='font-size:9.0pt;
font-family:Arial'>Projektkoordination LIFE - Leipziger Forschungszentrum für
Zivilisationserkrankungen<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=1 face=Arial><span style='font-size:9.0pt;
font-family:Arial'>Universität Leipzig</span></font><font size=1><span
style='font-size:9.0pt'><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=1 face=Arial><span style='font-size:9.0pt;
font-family:Arial'>Härtelstr. 16-18, Raum 327</span></font><font size=1><span
style='font-size:9.0pt'><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=1 face=Arial><span style='font-size:9.0pt;
font-family:Arial'>04107 Leipzig<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=1 face=Arial><span style='font-size:9.0pt;
font-family:Arial'>Tel.: 0341 97-16670</span></font><font size=1><span
style='font-size:9.0pt'><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=1 face=Arial><span style='font-size:9.0pt;
font-family:Arial'>Fax: 0341 97-16669</span></font><font size=1><span
style='font-size:9.0pt'><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
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