Remove duplicate points by Uniquetol

I have some coordinates stored in a matrix, I only want to keep unique values within tolerance.

Obviously, the values in the first column are all approximately zero, so the final can be approximated as (0, 32.5) and (0, 38.5).

When I use Uniquetol, it will returen all the coordinates, so I need someone help me, how could it only return two point.

xy=[-9.63493432264607e-181	32.5216944525841
    -7.62762965035320e-181	32.5216944525841
    -6.03851901161367e-181	32.5216944525841
    -4.78047749105533e-181	32.5216944525841
    -3.78453143867467e-181	32.5216944525841
    2.93858785517212e-181	38.5303300098731
    3.71191343625312e-181	38.5303300098731
    4.68874916704828e-181	38.5303300098731
    5.92265124956345e-181	38.5303300098731
    7.48126985987569e-181	38.5303300098731
    9.45005815096910e-181	38.5303300098731
    1.19369573253412e-180	38.5303300098731];
uniquetol(xy, 'ByRows', true) 

ans = 12×2

-0.0000 32.5217 -0.0000 32.5217 -0.0000 32.5217 -0.0000 32.5217 -0.0000 32.5217 0.0000 38.5303 0.0000 38.5303 0.0000 38.5303 0.0000 38.5303 0.0000 38.5303

uniquetol(xy, 1e-12, 'ByRows', true) % or

ans = 12×2

-0.0000 32.5217 -0.0000 32.5217 -0.0000 32.5217 -0.0000 32.5217 -0.0000 32.5217 0.0000 38.5303 0.0000 38.5303 0.0000 38.5303 0.0000 38.5303 0.0000 38.5303

Answer 1

[Matt J]

uniquetol(xy, 1, 'ByRows', true,'DataScale',[1,1]) % or