Lecture-15 - 1 Lecture-15 Discussion of Program-2 Lucas& Kanade(Least Squares • Optical flow eq t y x f v f u f = 9 9 9 1 1 1 t y x t y x f v

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Unformatted text preview: 1 Lecture-15 Discussion of Program-2 Lucas & Kanade (Least Squares) • Optical flow eq t y x f v f u f- = + 9 9 9 1 1 1 t y x t y x f v f u f f v f u f- = +- = + M -- = 9 1 9 1 9 1 t t y y x x f f v u f f f f M M M t f Au = • Consider 3 by 3 window 2 Lucas & Kanade t T T t T T t f A A A u f A Au A f Au 1 ) (- = = = 2 2 2 2 2 ) ( min ti i j yi xi f v f u f + + ∑∑- =- = Lucas & Kanade 2 2 2 2 2 ) ( min ti i j yi xi f v f u f + + ∑∑- =- = ) ( ) ( = + + = + + ∑ ∑ yi ti yi xi xi ti yi xi f f v f u f f f v f u f ) ( ) ( = + + = + + ∑ ∑ ti yi yi yi xi yi ti xi yi xi xi xi f f v f f u f f f f v f f u f f ∑ ∑ ∑ ∑ ∑ ∑ = + + = + + 2 2 ti yi yi yi yi ti xi yi xi xi f f v f u f f f f v f f u f -- = ∑ ∑ ∑ ∑ ∑ ∑ ti yi ti xi yi yi xi yi xi xi f f f f v u f f f f f f 2 2 min 3 Lucas & Kanade -- = ∑ ∑ ∑ ∑ ∑ ∑- ti yi ti xi yi yi xi yi xi xi f f f f f f f f f f v u 1 2 2 Least Squares Fit j j j T j j j j j j j j a b x a a b x a b x a ∑ ∑ ∑ =- =- ) ( ) . ( ....
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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-15 - 1 Lecture-15 Discussion of Program-2 Lucas& Kanade(Least Squares • Optical flow eq t y x f v f u f = 9 9 9 1 1 1 t y x t y x f v

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