How to find close values in matrix?

I want to find points which are close to each others, not alone.

for example, matrix = [ 1 1.1 7 17 0.99; 1 1.1 7 17 0.99;]

if I represent above matirx as *, (1,1) (1.1 , 1.1) (0.99,0.99) will be close to each others, like * in yellow circle.

Is there the way to find close values and erase others which are out of yellow circle ?

Answer 1

[michio]

If you use R2015a or later, ismembertol function may help.

ismembertol http://www.mathworks.com/help/matlab/ref/ismembertol.html

By default, ismembertol looks for elements that are within tolerance, but it also can find rows of a matrix that are within tolerance. Something like,

LIA = ismembertol(A,B,tol,'ByRows',true)
C = A(LIA,:);

is worth trying. C will be a set of rows from A which matches to any of rows of B within the tolerance specified by tol.

Please be noted that the exact syntax could differ depending on how you define your variables.