📄 biquad_interpolat.m
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function I_mh=biquad_interpolat(I,R)
[m,n]=size(I);
M=R*m-(R-1);
N=R*n-(R-1);
I_mh=zeros(M,N);
for i1=1:R:M
for j1=1:R:N
I_mh(i1,j1)=I(floor(i1/R)+1,floor(j1/R)+1);
end
end
for i1=-R:R
for j1=-R:R
u=j1/R; v=-i1/R;
ii=i1+R+1;jj=j1+R+1;
N1(ii,jj)=0.25*u*v*(u-1)*(v-1); N2(ii,jj)=0.25*u*v*(u+1)*(v-1); N3(ii,jj)=0.25*u*v*(u+1)*(v+1);
N4(ii,jj)=0.25*u*v*(u-1)*(v+1); N5(ii,jj)=0.5*u*(u-1)*(1-v^2); N6(ii,jj)=0.5*v*(v-1)*(1-u^2);
N7(ii,jj)=0.5*u*(u+1)*(1-v^2); N8(ii,jj)=0.5*v*(v+1)*(1-u^2); N9(ii,jj)=(1-u^2)*(1-v^2);
end
end
for i=R+1:2*R:M-R
for j=R+1:2*R:N-R
A1=I_mh(i+R,j-R); A2=I_mh(i+R,j+R); A3=I_mh(i-R,j+R);
A4=I_mh(i-R,j-R); A5=I_mh(i,j-R); A6=I_mh(i+R,j);
A7=I_mh(i,j+R); A8=I_mh(i-R,j); A9=I_mh(i,j);
for i1=-R:R
for j1=-R:R
ii=i1+R+1;jj=j1+R+1;
I_mh(i+i1,j+j1)=A1*N1(ii,jj)+A2*N2(ii,jj)+A3*N3(ii,jj)+A4*N4(ii,jj)+...
A5*N5(ii,jj)+A6*N6(ii,jj)+A7*N7(ii,jj)+A8*N8(ii,jj)+A9*N9(ii,jj);
end
end
end
end
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