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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>

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