MATLAB: Creating a vector from a(:) : b(:) , but one for each index without using loops.

vectorizationvectors

I have two vectors a=[1,2,3] and b=[6,4,9]. My goal is to generate this(see below) without the use of foor loops (a single command line);
result=[a(1):b(1),a(2):b(2),a(3):b(3)];
The problem is that a and b is varying in size (but size(a)=size(b)=[1,N]).
I`ve tried
result=[a(:):b(:)];
and other variations, but it doesnt do the job. Any idea of how i can achieve this?

Best Answer

a=[1,2,3];
b=[6,4,9];
result = cell2mat(arrayfun(@(x,y)x:y,a,b,'un',0));
ADD
a = randi(150,32,4,4,4); % your 4-D array
idx = {1:32,3,2,1}; % your array with indexs
[i1,i2,i3,i4] = ndgrid(idx{:});
i1 = cell(1,4);
[i1{:}] = ndgrid(idx{:});
result = a(sub2ind(size(a),i1{:}));