Projective geometry for Computer Vision
Projective geometry for Computer Vision
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>