How to make vectors from two points vectors?

In one dimension, I could make a vector interpolates between two points by using ':' operator.

For example:

> index1 = 1;
> index2 = 10;
> vec = [index1:index2]
vec = 
    1    2    3    4    5    6    7    8    9    10

However, I can't make multiple vectors interpolated from the vector of two points.

What should I write in the following '???'.

> index1 = [1; 11, 21];
> index2 = [10; 20; 30];
> vecs = ??? % don't write: [index1(1):index2(1); index1(2):index2(2); index1(3):index2(3)]
vec =
    1    2    3    4    5    6    7    8    9    10
    11    12    13    14    15    16    17    18    19    20
    21    22    23    24    25    26    27    28    29    30

[Jos (10584)]

is this homework?

Answer 1

[Adam Danz]

index1 = [1; 11; 21];
index2 = [10; 20; 30];
mat = cell2mat(arrayfun(@(x1,x2)x1:x2,index1,index2,'UniformOutput',false));

[the cyclist]

One could also make this a bit more generalized by doing

NC = 10;
mat = cell2mat(arrayfun(@(x1,x2)linspace(x1,x2,NC),index1,index2,'UniformOutput',false));

in case the rows do not have the same increments. This code would create 10 columns, regardless.

[Adam Danz]

I guess it would depend on whether the data need to have a set interval or not but that does raise a caveat for my answer. If the paired values between index1 and index2 aren't at a fixed distance from each other my answer will result in a dimensions error. The error would be avoided in the cyclist's version but would not have fixed intervals.

%            vv changed from 11 to 12
index1 = [1; 12; 21];
index2 = [10; 20; 30];

[shuhei miyake]

Thank you that worked great.