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From: Lukas on 26 Jul 2010 10:18
Hi folks!

I wonder if there is a fast method to perform a sinc interpolation of a 4D array along one dimension or do I have to loop through the three dimensions and perform 1d interplations... ???

Many thanks in advane for your help.

LS
From: Matt J on 26 Jul 2010 10:52
"Lukas " <lukas.scheef(a)ukb.uni-bonn.de> wrote in message <i2k5es$85h$1(a)fred.mathworks.com>...
> Hi folks!
>
> I wonder if there is a fast method to perform a sinc interpolation of a 4D array along one dimension or do I have to loop through the three dimensions and perform 1d interplations... ???
=========

Sinc interpolation is equivalent to fft-based upsampling, i.e. take FFT, zero-pad, then take IFFT. You could implement this yourself or use tools on the FEX such as

http://www.mathworks.com/matlabcentral/fileexchange/4658-updownsample

Sinc interpolation is also often approximated efficiently by cubic B-spline interpolation. The following provides tools and examples for doing this. The examples are for 1D and 2D data, but the extension to 4D is pretty straightforward.

http://www.mathworks.com/matlabcentral/fileexchange/26292-regular-control-point-interpolation-matrix-with-boundary-conditions
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