interpulation of 2 axes in 3D matrix

i have 3D L matrix:

L(:,:,1)=
    1 3 5 
    7 9 11
    13 15 17
L(:,:,2)=
    3 5 7 
    9 11 13
    15 17 19        

i want to interpulate L but only in 2 axes, the wanted solution:

    L(:,:,1)=
        1 2 3 4 5
        7 8 9 10 11
        13 14 15 16 17
    L(:,:,2)=
        2 3 4 5 6 
        8 9 10 11 12
        14 15 16 17 18
    L(:,:,3)=
        3 4 5 6 7 
        9 10 11 12 13
        15 16 17 18 19 

from L(3x3x2) to L(3x5x3).

i tried to use interpn but i got interpulation in x axes as well.

LL=interp(L,1)
    LL(:,:,1)=
        1 2 3 4 5
        4 5 6 7 8
        7 8 9 10 11
        10 11 12 13 14
        13 14 15 16 17
    LL(:,:,2)=
        2 3 4 5 6 
        5 6 7 8 9
        8 9 10 11 12
        11 12 13 14 15
        14 15 16 17 18
    LL(:,:,3)=
        3 4 5 6 7 
        6 7 8 9 10
        9 10 11 12 13
        12 13 14 15 16
        15 16 17 18 19 

Answer 1

[Stephen23]

format compact
L = cat(3,[1,3,5;7,9,11;13,15,17],[3,5,7;9,11,13;15,17,19])

L = 
L(:,:,1) =
     1     3     5
     7     9    11
    13    15    17
L(:,:,2) =
     3     5     7
     9    11    13
    15    17    19

Xi = 1:3;
Yi = [1,3,5];
Zi = [1,3];
[Xq,Yq,Zq] = ndgrid(1:3,1:5,1:3);
A = interpn(Xi,Yi,Zi,L,Xq,Yq,Zq)

A = 
A(:,:,1) =
     1     2     3     4     5
     7     8     9    10    11
    13    14    15    16    17
A(:,:,2) =
     2     3     4     5     6
     8     9    10    11    12
    14    15    16    17    18
A(:,:,3) =
     3     4     5     6     7
     9    10    11    12    13
    15    16    17    18    19