function [us,vs] = HSoptflow(Xrgb,n)%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Author: Gregory Power gregory.power@wpafb.af.mil% This MATLAB code shows a Motion Estimation map created by% using a Horn and Schunck motion estimation technique on two% consecutive frames. Input requires.% Xrgb(h,w,d,N) where X is a frame sequence of a certain% height(h), width (w), depth (d=3 for color), % and number of frames (N). % n= is the starting frame number which is less than N % V= the output variable which is a 2D velocity array%% Sample Call: V=HSoptflow(X,3);%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%[h,w,d,N]=size(Xrgb)if n>N-1 error(1,'requested file greater than frame number required');end; %get two image framesif d==1 Xn=double(Xrgb(:,:,1,n)); Xnp1=double(Xrgb(:,:,1,n+1));elseif d==3 Xn=double(Xrgb(:,:,1,n)*0.299+Xrgb(:,:,2,n)*0.587+Xrgb(:,:,3,n)*0.114); Xnp1=double(Xrgb(:,:,1,n+1)*0.299+Xrgb(:,:,2,n+1)*0.587+Xrgb(:,:,3,n+1)*0.114);else error(2,'not an RGB or Monochrome image file');end;%get image size and adjust for bordersize(Xn)hm5=h-5; wm5=w-5;z=zeros(h,w); v1=z; v2=z;%initializedsx2=v1; dsx1=v1; dst=v1;alpha2=625;imax=20;%Calculate gradientsdst(5:hm5,5:wm5) = ( Xnp1(6:hm5+1,6:wm5+1)-Xn(6:hm5+1,6:wm5+1) + Xnp1(6:hm5+1,5:wm5)-Xn(6:hm5+1,5:wm5)+ Xnp1(5:hm5,6:wm5+1)-Xn(5:hm5,6:wm5+1) +Xnp1(5:hm5,5:wm5)-Xn(5:hm5,5:wm5))/4;dsx2(5:hm5,5:wm5) = ( Xnp1(6:hm5+1,6:wm5+1)-Xnp1(5:hm5,6:wm5+1) + Xnp1(6:hm5+1,5:wm5)-Xnp1(5:hm5,5:wm5)+ Xn(6:hm5+1,6:wm5+1)-Xn(5:hm5,6:wm5+1) +Xn(6:hm5+1,5:wm5)-Xn(5:hm5,5:wm5))/4;dsx1(5:hm5,5:wm5) = ( Xnp1(6:hm5+1,6:wm5+1)-Xnp1(6:hm5+1,5:wm5) + Xnp1(5:hm5,6:wm5+1)-Xnp1(5:hm5,5:wm5)+ Xn(6:hm5+1,6:wm5+1)-Xn(6:hm5+1,5:wm5) +Xn(5:hm5,6:wm5+1)-Xn(5:hm5,5:wm5))/4;for i=1:imax delta=(dsx1.*v1+dsx2.*v2+dst)./(alpha2+dsx1.^2+dsx2.^2); v1=v1-dsx1.*delta; v2=v2-dsx2.*delta;end;u=z; u(5:hm5,5:wm5)=v1(5:hm5,5:wm5);v=z; v(5:hm5,5:wm5)=v2(5:hm5,5:wm5);xskip=round(h/32);[hs,ws]=size(u(1:xskip:h,1:xskip:w))us=zeros(hs,ws); vs=us;N=xskip^2;for i=1:hs-1 for j=1:ws-1 hk=i*xskip-xskip+1; hl=i*xskip; wk=j*xskip-xskip+1; wl=j*xskip; us(i,j)=sum(sum(u(hk:hl,wk:wl)))/N; vs(i,j)=sum(sum(v(hk:hl,wk:wl)))/N; end;end;figure(1);quiver(us,vs);colormap('default');axis ij;axis tight;axis equal;