Lucas+–+Kanade光流测速.doc
时间:2025-09-29 18:43来源:本站 作者:admin666 点击:
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Lucas–,:TheLucas-Kanadealgorithmformotionestimationwasused,:Fx*u+Fy*v=-FtWeconsiderawindow,andwritetheopticalflowsetofequationsasfollows:Fx1*u+Fy1*v=-Ft1Fx2*u+Fy2*v=-Ft2..Fxn*u+Fyn*v=-FtnWecanwritethissimplyinthematrixform,withtheunknownss
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Lucas–,:TheLucas-Kanadealgorithmformotionestimationwasused,:Fx*u+Fy*v=-FtWeconsiderawindow,andwritetheopticalflowsetofequationsasfollows:Fx1*u+Fy1*v=-Ft1Fx2*u+Fy2*v=-Ft2..Fxn*u+Fyn*v=-FtnWecanwritethissimplyinthematrixform,withtheunknownsseparatelyasavector[uv](transpose).Sowehavethissystemofequationsintheform:A*u=FtWecansolvefortheunknownsvector,u,bytakingthepseudoinverse:u=inverse(transpose(A)*A)*transpose(A)*FtThiscanbesolvedas:u=(-sum(Fyi2 *sum(Fxi*Fti))+sum(Fxi*Fyi*sum(Fyi*Fti)))/(sum(Fxi2*Fyi2) -sum(Fxi*Fyi)2)u=(-sum(Fxi2 *sum(Fyi*Fti))+sum(Fxi*Fti*sum(Fxi*Fyi)))/(sum(Fxi2*Fyi2) -sum(Fxi*Fyi)2)WhenandWhyusePyramids?Toestimatemotioncorrectly,themotionsne
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