Double the resolution of a vector

Dear

I would like to double the resolution of a vector in an efficient way (i.e. vectorizing) I mean, for example for the vector [0 2 5 10 12] the result is [0 1 2 3.5 5 7.5 10 11 12]

Calculate the new values is easy, for example:

a=[0 2 5 10 12];
b=a(1:length(a)-1)+diff(a)/2;

But I don't know how to insert the new values in the original vector

Many thanks,

Answer 1

[Azzi Abdelmalek]

a=[0 2 5 10 12] 
b=sort([a a(1:end-1)+diff(a)/2])

You can also use interp1 function

a=[0 2 5 10 12]
b=interp1(1:numel(a),A,1:.5:numel(A))

[Azzi Abdelmalek]

Luis Isaac commented

Many thanks The first solution works in this case but it not satisfactory for me because asume that a vector is in ascending order

But the second way is pefect!!

[Azzi Abdelmalek]

a=[0 2 5 10 12] 
b= a(1:end-1)+diff(a)/2
c=zeros(1,2*numel(a)-1)
c(1:2:end)=a
c(2:2:end)=b