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<p class=MsoNormal align=center style='text-align:center'><b><font size=3
face=Arial><span style='font-size:12.0pt;font-family:Arial;font-weight:bold'>Prof.
Dr. Kadri Arslan<o:p></o:p></span></font></b></p>
<p class=MsoNormal align=center style='text-align:center'><b><font size=3
face=Arial><span style='font-size:12.0pt;font-family:Arial;font-weight:bold'><o:p> </o:p></span></font></b></p>
<p class=MsoNormal align=center style='text-align:center'><font size=3
face=Tahoma><span style='font-size:12.0pt;font-family:Tahoma'>(Uludağ
University)<o:p></o:p></span></font></p>
<p class=MsoNormal align=center style='text-align:center'><font size=3
face=Tahoma><span style='font-size:12.0pt;font-family:Tahoma'>16 April Friday,
at <font color=blue><span style='color:blue'>14:00</span></font>;<br>
Bilgi Üniversitesi Dolapdere Kampüsü, Room:<font color=blue><span
style='color:blue'>135.</span></font></span></font><font color=red><span
style='color:red'><o:p></o:p></span></font></p>
<p class=MsoNormal align=center style='mso-margin-top-alt:auto;mso-margin-bottom-alt:
auto;text-align:center'><b><font size=3 face=Arial><span style='font-size:12.0pt;
font-family:Arial;font-weight:bold'>Title: </span></font></b><o:p></o:p></p>
<p class=MsoNormal align=center style='text-align:center;text-autospace:none'><font
size=3 face=Arial><span style='font-size:12.0pt;font-family:Arial'>Geometric
Modeling with curves and surfaces<o:p></o:p></span></font></p>
<p class=MsoNormal style='text-autospace:none'><font size=2
face="Courier New TUR"><span style='font-size:10.0pt;font-family:"Courier New TUR"'><o:p> </o:p></span></font></p>
<p class=MsoNormal align=center style='mso-margin-top-alt:auto;mso-margin-bottom-alt:
auto;text-align:center'><b><font size=3 face=Arial><span style='font-size:12.0pt;
font-family:Arial;font-weight:bold'> Abstract:<o:p></o:p></span></font></b></p>
<p class=MsoNormal style='text-align:justify;text-indent:35.4pt'><font size=3
face=Arial><span style='font-size:12.0pt;font-family:Arial'>The fitting of primitive
models to image data is a basic task in computer graphics and computer vision,
allowing reduction and simplification of data. One of the most commonly used
models is the ellipse and superellipse. Superellipse is formed by incorporating
additional parameter into the equation of ellipse. It can be used to represent
in a compact form a large variety of shapes. However, fitting them to data is
difficult and computationally expensive. Moreover, when partial data is
available the parameter estimates become unreliable. Superquadrics can be
considered as spherical product of two 2D curves are called superconics.
Infect, superquadrics are solid models that can fairly simple parametrization
of representing a large variety of standard geometric solids, as well as smooth
shapes in between. This makes them much more convenient for representing
rounded, blob-like shape parts, typical for object formed by natural process.
The superquadrics, which are like phonemes in this description, language, can
be deformed by stretching, bending, tapering or twisting, and then combined
using Boolean operations to built complex objects. Superquadrics are the
special case of the supershapes, provided by Gielis that have the
advantage of representing polygonal with various symmetries. In this study we
give some geometric models of such curves and surfaces. <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>
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