Projective Geometry - Institute for Computer Graphics and Vision
Projective Geometry - Institute for Computer Graphics and Vision
Projective Geometry - Institute for Computer Graphics and Vision
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Institut für Elektrische Meßtechnik und Meßsignalverarbeitung<br />
Homogeneous Coordinates in P n<br />
a<br />
<br />
l b<br />
~<br />
<br />
c <br />
a<br />
<br />
kb<br />
<br />
c <br />
ax by c 0<br />
( ka)<br />
x ( kb)<br />
y kc<br />
0 k<br />
0<br />
Equivalence class of vectors<br />
3<br />
R<br />
0<br />
<br />
0<br />
<br />
0<br />
Homogeneous coordinates<br />
x <br />
inhomogeneous <br />
y <br />
<strong>for</strong>ms P 2 … “projective plane”<br />
Professor Augmented Horst Reality Cerjak, VU 19.12.20051 <strong>Projective</strong> <strong>Geometry</strong> Axel Pinz<br />
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<br />
<br />
<br />
<br />
x<br />
x<br />
x<br />
1<br />
2<br />
3<br />
<br />
<br />
, but only 2 DoF<br />
<br />
<br />
7.3.2011<br />
14