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 />
A Hierarchy of Trans<strong>for</strong>mations / Geometries (4)<br />
In 2D, a square<br />
trans<strong>for</strong>ms to:<br />
<strong>Projective</strong><br />
8dof<br />
Affine<br />
6dof<br />
Similarity<br />
4dof<br />
Euclidean<br />
3dof<br />
h<br />
<br />
<br />
h<br />
<br />
h<br />
11<br />
21<br />
31<br />
a<br />
<br />
<br />
a<br />
<br />
0<br />
11<br />
21<br />
sr<br />
<br />
<br />
sr<br />
<br />
0<br />
r<br />
<br />
<br />
r<br />
<br />
0<br />
11<br />
21<br />
11<br />
21<br />
h<br />
h<br />
h<br />
a<br />
a<br />
r<br />
r<br />
12<br />
22<br />
32<br />
12<br />
22<br />
0<br />
sr<br />
sr<br />
12<br />
22<br />
0<br />
12<br />
0<br />
22<br />
h<br />
h<br />
h<br />
13<br />
23<br />
33<br />
tx<br />
<br />
t<br />
<br />
y<br />
<br />
1 <br />
tx<br />
<br />
t<br />
<br />
y<br />
<br />
1 <br />
<br />
<br />
<br />
<br />
tx<br />
<br />
t<br />
<br />
y<br />
<br />
1 <br />
Professor Augmented Horst Reality Cerjak, VU 19.12.20051 <strong>Projective</strong> <strong>Geometry</strong> Axel Pinz<br />
7.3.2011<br />
30
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