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Projective geometry for Computer Vision

Projective geometry for Computer Vision

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Affine trans<strong>for</strong>mations preserve the plane/line at infinity<br />

[ A b<br />

0 t 1<br />

] ⎛ ⎝<br />

x 1<br />

x 2<br />

0<br />

⎞ ⎛ ( ) ⎞<br />

⎠ = ⎝ A x1<br />

x 2<br />

⎠<br />

0<br />

A general projective trans<strong>for</strong>mation moves points at infinity to<br />

finite points.<br />

Subhashis Banerjee<br />

<strong>Projective</strong> <strong>geometry</strong> <strong>for</strong> <strong>Computer</strong> <strong>Vision</strong>

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