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

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Konstantinos Tsitsilonis 2017-12-30

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https://ww2.mathworks.cn/matlabcentral/answers/374997-perform-an-operation-amongst-three-vectors-if-they-are-closer-than-5-to-each-other

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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.

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Konstantinos Tsitsilonis 2018-1-3

编辑：Konstantinos Tsitsilonis 2018-1-3

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 2018-1-3

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

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