# Lecture-6 - Lecture-6 Mann & Picard Projective 1 Projective...

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1 Lecture-6 Projective

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2 Projective Flow (weighted) u f v f f f x f y t + + = 0 1 x + + = T C b x x A 0 = + t T m f x f u 1 x + + = - = T C b x x x u A m Optical Flow const. equation Projective transform Projective Flow (weighted) 2 ) ( t X T m f u f flow + = e 2 ) ) 1 (( t T f A + - + + = x T f x Cx b x 2 ) ) 1 ( ) ) 1 ( (( t T x T f x + + + - + = x C f x C b Ax T minimize
3 Projective Flow (weighted) f ff ) ( ) ( t x T f - = f x a T T c c b a a b a a a ] , , , , , , , [ 2 1 2 22 21 1 12 11 = ] , , , , , , , [ 2 2 y x t y x t y y y x x x t f y xyf yf xyf f x xf f y f x f f y f x f - - - - = f •Homework 3 Derive this equation 9/26 Projective Flow (unweighted)

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4 Bilinear 1 x + + = T C b x x A xy a y a x a a y v xy a y a x a a x u m m 8 7 6 5 4 3 2 1 + + + = + + + + = + Taylor Series Pseudo-Perspective 1 x + + = T C b x x A 2 5 4 8 7 6 5 2 4 3 2 1 y a xy a y a x a a v y xy a x a y a x a a u x m m + + + + = + + + + + = + Taylor Series
5 Projective Flow (unweighted) 2 ) ( t X T m f u f flow + = e Minimize Bilinear and Pseudo-Perspective

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## This note was uploaded on 06/12/2011 for the course CAP 6411 taught by Professor Shah during the Spring '09 term at University of Central Florida.

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Lecture-6 - Lecture-6 Mann & Picard Projective 1 Projective...

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