Form a 3D matrix for a 2d matrix

Dear

I have a 3d matrix M3D in which each dimension represent one of the spatial coordinates x, y, z. This spatial coordinates are in three vectors xVector, yVector and zVector.

I need to perform a calculation using a function which need these coordinates SomeFun(x,y,z). The function is vectored so for a matrix with n points and 3 columns, each row represent three coordinates, gives a vector of results.

To form this such of matrix from spatial vectors I use the matlab function “combvec”:

EntranceMatrix=combvec(xVector, yVector, zVector)';
ExitVector=SomeFun(EntranceMatrix);             

The result is an ExitVector so the ExitVector(i) is the result of EntranceMatrix(i,:)

I would like to put ExitVector in the same form of the original 3d Matrix, i.e. form EntranceVector and ExitVector form a NewM3D, so every element NewM3D(i,j,k) has the same spacial correspondence to M3D(i,j,k).

How can I do it?

Thanks in advance

Answer 1

[Matt J]

NewM3D = reshape(ExitVector,size(M3D));

[Matt J]

Luis' comment moved here:

Thanks very much

But there is a problem in my quetion, I forget to say that xVector represent the first dimension in M3D, yVector is the third dimension (not the second) and zVector is the second dimension.

So If M3D is a matrix 40 x 57 x 60 then xVetor is a vectror of 40 elements, yVector has 60 and zVector has 57.

I think that reshape gives the correct answared if yVector was related to the second dimension of M3D

[Matt J]

[m,n,p]=size(M3D);
NewM3D = permute( reshape(ExitVector,[m,p,n])   ,[1,3,2]);