Perform an operation amongst three vectors if they are closer than 5% to each other

Hi all,

I have three vectors as seen below:

 %Construct Vectors
 x = linspace(5,20,20)' ;
 vec1 = 5*x + 10 ;
 vec2 = 6.2*x + 11 ; 
 vec3 = 6.5*x + 11 ;

I want to create a code such that it can find the vectors that are closer to each other than 5% of some fixed value, take the average of any adjacent vectors that comply with the above condition, and return this as one vector. I want this code to be generalised for any number of n vectors, that is why it seems to be so tough for me.

My attempt to perform the above can be seen below:

vec_mat = sort([vec1, vec2, vec3], 2) ; %sort vectors in ascending order
vec_diff = diff(vec_mat, 1, 2) ; %difference between sorted vectors

%Find index of the vectors closer than 5% to each other
idx = vec_diff < 140 * 0.05 ;

At this point i get stuck. Having the indices between the vectors that comply with my desired condition, i struggle to find a way to proceed in order to find the actual vectors that these indices correspond to and to perform my desired operation.

Thanks for your help in advance,

KMT.

[Sarah Mohamed]

How would you like to measure the 'closeness' of two vectors? For instance, one measure of the closeness of vec1 and vec2 might be the norm of their difference (e.g., norm(vec1 - vec2) ).

[Konstantinos Tsitsilonis]

Hi, thanks for your response. I have finally resolved the issue by finding the normalised distance between them.

How can I mark the question as resolved?

[Sarah Mohamed]

Great! If you would like to share your solution so that others can view it, you can post it below in the 'Answers' section. Otherwise, you are all set