Projective geometry for Computer Vision
Projective geometry for Computer Vision
Projective geometry for Computer Vision
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<strong>Projective</strong> basis<br />
Change of basis: Let e 1 , e 2 , . . . , e n+1 , e n+2 be the standard basis<br />
and a 1 , a 2 , . . . , a n+1 , a n+2 be any other basis. There<br />
exists a non-singular trans<strong>for</strong>mation [T] (n+1)×(n+1)<br />
such that:<br />
Te i = λ i a i , ∀i = 1, 2. . . . , n + 2<br />
T is unique up to a scale.<br />
Subhashis Banerjee<br />
<strong>Projective</strong> <strong>geometry</strong> <strong>for</strong> <strong>Computer</strong> <strong>Vision</strong>
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