2D interpolation

Fast 2D linear interpolation of scalar of vector valued 2D images.

Description

 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:
http://www.bme.ogi.edu/~myron/

• MATLAB release: MATLAB 7.4 (R2007a)
• Other Files: license.txt, ; mirt2D_mexinterp.cpp, ; mirt2D_mexinterp.m