Is there a two-dimensional sinc interpolation software?

2021 9 30
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Hello everyone. I have found this package of software. I am interested in doing a two-dimensonal sinc interpolation as defined in the diapositives 15 to 18 of this presentation. Unfortunately. I haven't found anything.
Can anybody point me to some code that might work?
Best regards.
Jaime.

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Star Strider
Star Strider 2021-9-30

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One-dimensional sinc interplation is described in Ideal Bandlimited Interpolation. It may be possible to adapt it to a 2D problem.
.

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Matt J
Matt J 2021-9-30
编辑：Matt J 2021-9-30
Ran in:
Ran in:
Yes, it is possible, but this is only valid for plaid upsampling, not arbitrary interpolation.
Image=double(imread('cameraman.tif'));
M=length(Image);
t=1:M;
dt=0.2;
ts = -M:dt:2*M;
[Ts,T] = ndgrid(ts,t);
A=sinc(Ts - T);
A([1:M/dt,end+1-M/dt:end],:)=[];
ImageInterpolated = A*Image*A.';
whos Image ImageInterpolated
Name Size Bytes Class Attributes Image 256x256 524288 double ImageInterpolated 1281x1281 13127688 double
imshow(ImageInterpolated,[])
That is great, since I have a grid of size 19*13 with values of temperature and I want to find an equation using this sinc interpolation to have a function to describe said field. Is there a way to adapt this code so that instead of an image, a matrix is introduced and the resulting expressin can be read?

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Matt J
Matt J 2021-9-30

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Since interpolation is commonly approximated by cubic spline interpolation, which you have an option for in interp2.
Vq = interp2(X,Y,V,Xq,Yq,'spline');

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Thanks for the answer. Is there a way to find the equation used to build said interpolation?

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Nikeet Pandit
Nikeet Pandit 2022-5-10

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We know that Fourier is a seperable transform... so if we want to do a Fourier 2D transform its equivalent to doing 1D transform on rows and then columns. I assume then this property holds for sinc interpolation... So I adapted the 1D example for sinc interpolation they provide on the sinc(x) documentation ... and then I applied the interpolation to the rows and then interpolation to the columns and it seemed to work

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