How to interpolate two MRI slices in order to find the the Slice in-between?

Hello there, I am working on MRI slices, while working i found that there are some slices is missing and that causing losing in the information. So, i need to interpolate each 2 consecutive slices to generate a new slice between them. i have used the following code to interpolate two different meshgrids, how i can apply this code on the images i attached?

% Create two initial surfaces (different grids)
[x1,y1] = meshgrid(-2:0.4:2,-2:0.4:2);
[x2,y2] = meshgrid(-2:0.2:2,-2:0.2:2);
z1 = x1.*exp(-x1.^2 - y1.^2);
z2 = x2.*exp(-x2.^2 - y2.^2) + 1;
figure
h1 = surface(x1,y1,z1);
hold on
h2 = surface(x2,y2,z2);
view(3)
% Interpolate surface z1 in the finer grid defined for surface z2
z1_interp = interp2(x1,y1,z1,x2,y2);
a = 0.3;
hold on
h3 = surface(x2,y2,(a*z1_interp + (1-a)*z2));

[Anton Semechko]

Let's say that IM1 and IM2 are your two images, you can interpolate between them as IM(t)=(1-t)*IM1 + t*IM2, where 0=<t<=1. Note IM(t=0)=IM1 and IM(t=1)=IM2. For example, a slice exactly halfway between IM1 and IM2 will be IM(t=0.5)=(IM1+IM2)/2; i.e., average of IM1 and IM2. Unfortunately, linear interpolation is the best you can do when working with only two slices.

[sana3 sal]

That's sound good, can you please give me a reference for the equation you provided?

[Anton Semechko]

I can't, because this equation is self-evident.

[sana3 sal]

You don't have any reference that i can read about this subject from it?

[Anton Semechko]

OK, here is one:

Hazewinkel, Michiel, ed. (2001) [1994], "Linear interpolation", Encyclopedia of Mathematics, Springer Science+Business Media B.V. / Kluwer Academic Publishers, ISBN 978-1-55608-010-4

I got it from here

[sana3 sal]

thank you very much for your help, i solved it ♥

[belhadjfdl]

Hello,

please how did you solved the problem?

[sana3 sal]

I followed the linear interpolation that Mr. Anton mentioned above

[Rik]

A better idea is to resample from the full 3d stack. Then you would be able to use more advanced interpolation tools.