Interesting/Multiple view geometry | Posted by hyena0 2008. 7. 12. 22:01

Projective Transformation



Projective Transformation

Definition :
 A projectivity is an inverible mapping h from P2 to itself such that three points x1, x2, x3 lie on the same line if and only if h(x1), h(x2), h(x3) do.

Theorem :
 A mapping h: P2 -> P2 is a projectivity if and only if there exist a non-singular 3x3 matrix H such that for any point in P2 reprented by a vector x it is true that h(x) = Hx

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