Projective geometry for Computer Vision
Projective geometry for Computer Vision
Projective geometry for Computer Vision
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In terms of projective coordinates<br />
where,<br />
⎡<br />
λ ⎣<br />
⎡<br />
⎣<br />
x<br />
y<br />
1<br />
x<br />
y<br />
1<br />
⎤<br />
⎡<br />
⎦ = ⎣<br />
⎤<br />
⎦ ∈ P 2 and<br />
are homogeneous coordinates.<br />
f 0 0 0<br />
0 f 0 0<br />
0 0 1 0<br />
⎡<br />
⎢<br />
⎣<br />
X<br />
Y<br />
Z<br />
1<br />
⎡<br />
⎤<br />
⎦ ⎢<br />
⎣<br />
⎤<br />
X<br />
Y<br />
Z<br />
1<br />
⎥<br />
⎦ ∈ P3<br />
⎤<br />
⎥<br />
⎦<br />
Subhashis Banerjee<br />
<strong>Projective</strong> <strong>geometry</strong> <strong>for</strong> <strong>Computer</strong> <strong>Vision</strong>