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## 2D interpolation

version 1.1.0.0 (3.74 KB) by
Fast 2D linear interpolation of scalar of vector valued 2D images.

Updated 10 May 2011

ZI = mirt2D_mexinterp(Z,XI,YI) interpolates 2D image Z at the points with coordinates XI,YI. Z is assumed to be defined at regular spaced points 1:N, 1:M, where [M,N]=size(Z).
If XI,YI values are outside the image boundaries, put NaNs in ZI.

The function is similar to Matlab's native
ZI = INTERP2(Z,XI,YI,'linear',NaN),
but is much master. If Z is vector valued 2D image (3D array), then iteratively interpolates Z(:,:,1), Z(:,:,2),Z(:,:,3),.. etc. This works faster than to interpolate each image independently, such as
ZI(:,:,1) = INTERP2(Z(:,:,1),XI,YI);
ZI(:,:,2) = INTERP2(Z(:,:,2),XI,YI);
ZI(:,:,3) = INTERP2(Z(:,:,3),XI,YI);

The extra speed gain is from the precomputation of coefficients for interpolation, which are the same for all images. Interpolation of a set of images is useful, e.g. for image registration, when one has to interpolate image and its gradients or for vector valued images such as RGB.

Limitations: only works for images on a regular grid, and only with linear interpolation method.

Don't forget to compile first:
mex mirt2D_mexinterp.cpp

Enjoy! See more at my homepage:

### Cite As

Andriy Myronenko (2020). 2D interpolation (https://www.mathworks.com/matlabcentral/fileexchange/24183-2d-interpolation), MATLAB Central File Exchange. Retrieved .

Francisco Beron-Vera

Great job! (I couldn't get to work CUDA versions.) Thank you!

Harrison Woods

very useful for my applications, and very nice code! Thanks Andriy!