Bicubic interpolation direct interpolation formula Matlab source code
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Can anyone help by sharing the source code of the bicubic image interpolation algorithm using/involving 'direct interpolation formula'? See the figure below?
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/191291/image.png)
Also, here's an incomplete (and possibly erroneous) example showing the 'direct interpolation formula' -- V(m',n'):
a = y2-y;
b = x2-x;
d1 = -a*((1-a)^2)*(-b*((1-b)^2))*img(x0,y0); %%(m-1,n-1)
d2 = (1-2*(b^2) + (b^3))*img(x0,y1); %%(m,n-1)
d3 = b*(1+b-(b^2))*img(x0,y2); %%(m+1,n-1)
d4 = -(b^2)*(1-b)*img(x0,y3); %%(m+2,n-1)
d5 = (1-2*(a^2)+(a^3))*(-b*((1-b)^2))*img(x1,y0); %%(m-1,n)
d6 = (1-2*(b^2)+(b^3))*img(x1,y1); %%(m,n)
d7 = b*(1+b-(b^2))*img(x1,y2); %%(m+1,n)
d8 = -(b^2)*(1-b)*img(x1,y3); %%(m+2,n)
d9 = a*(1+a-(a^2))*(-b*((1-b)^2))*img(x2,y0); %%(m-1,n+1)
d10 =(1-2*(b^2)+(b^3))*img(x2,y1); %%(m,n+1)
d11 = b*(1+b-(b^2))*img(x2,y2); %%(m+1,n+1)
d12 = -(b^2)*(1-b)*img(x2,y3); %%(m+2,n+1)
d13 = -(a^2)*(1-a)*(-b*((1-b)^2))*img(x3,y0); %%(m-1,n+2)
d14 =(1-2*(b^2) + (b^3))*img(x3,y1); %%(m,n+2)
d15 = b*(1+b-(b^2))*img(x3,y2); %%(m+1,n+2)
d16 = -(b^2)*(1-b)*img(x3,y3); %%(m+2,n+2)
V(m',n') = (d1 + d2 + d3 + d4 + d5 + d6 + d7 + d8 + d9 + d10 + d11 + d12 + d13 + d14 + d15 + d16);
PS: I don't want the source code shown here: https://thilinasameera.wordpress.com/2010/12/24/digital-image-zooming-sample-codes-on-matlab/. Also, I don't want to use 'interp2' or any other shortcut.
Antworten (1)
Steven Lord
am 15 Jun. 2018
Why not just use interp2? The help for the 'cubic' method states:
'cubic' - bicubic interpolation as long as the data is
uniformly spaced, otherwise the same as 'spline'
If you're not allowed to use interp2 because this is homework, tell us what's blocking you from completing the implementation and we may be able to offer guidance.
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