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Projective geometry for Computer Vision

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<strong>Projective</strong> basis<br />

<strong>Projective</strong> basis: A projective basis <strong>for</strong> P n is any set of n + 2<br />

points no n + 1 of which are linearly dependent.<br />

Canonical basis:<br />

⎡ ⎤ ⎡ ⎤ ⎡ ⎤ ⎡ ⎤<br />

1 0<br />

0 1<br />

0<br />

⎢ ⎥<br />

⎣ . ⎦ , 1<br />

⎢ ⎥<br />

⎣ . ⎦ , . . .<br />

0<br />

⎢ ⎥<br />

⎣ . ⎦ ,<br />

1<br />

⎢ ⎥<br />

⎣ . ⎦<br />

0 0<br />

1 1<br />

} {{ } } {{ } } {{ }<br />

points at infinity along each axis origin unit point<br />

Subhashis Banerjee<br />

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

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