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Projective geometry for Computer Vision

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Conics in P 2<br />

◮ The line l tangent to a conic C at any point x is given by<br />

l = Cx.<br />

◮ x t Cx = 0 =⇒ (C −1 l) t C((C −1 l) = l t C −1 l = 0<br />

(because C −t = C −1 ). This is the equation of the dual conic.<br />

Subhashis Banerjee<br />

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

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