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Capitolo 5 La compensazione di moto - InfoCom

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5.2. TRASFORMAZIONI GEOMETRICHE PER MOTOCOMPENSAZIONE DI SEQUENZE VIDEO 45<br />

v<br />

x=u+∆u<br />

y=v+∆v<br />

v<br />

(1,2)<br />

(0,1) (2,1)<br />

u<br />

y<br />

x=u (cos(θ))+ v (sin(θ))<br />

y=u (-sin(θ))+ v (cos(θ))<br />

x<br />

x=Su u<br />

y=Sv v<br />

u<br />

y<br />

x=X(u,v)<br />

y=Y(u,v)<br />

X(u,v)=A u + B v + C<br />

Y(u,v)=D u + E v + F<br />

(2,4)<br />

x= S u u<br />

y= S v v<br />

Su=Sv=2<br />

x= 2 v<br />

y=2 u<br />

(0,2) (4,2)<br />

x<br />

v<br />

(1,2)<br />

(0,1) (2,1)<br />

v<br />

(1,2)<br />

(0,1) (2,1)<br />

u<br />

x=u+∆u<br />

y=v+∆v<br />

Figura 5.1: Esempi <strong>di</strong> trasformazioni descritte da un modello affine.<br />

x=u (cos(θ))+ v (sin(θ))<br />

y=u (-sin(θ))+ v (cos(θ))<br />

u<br />

(1,-2)<br />

y<br />

y<br />

∆u=1<br />

∆v=2<br />

x= u+1<br />

y=v+2<br />

(2,4)<br />

(1,3) (3,3)<br />

(1,0)<br />

θ=π/2<br />

x<br />

x= v<br />

y=u (-1)<br />

(2,-1)<br />

x

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