MATLAB: Ismembertol with ‘rows’ option

ismembertolerance

Hello everyone,

I am looking for a way to couple the 'rows' option with a set tolerance. I have a array of points A whose coordinates form a ring. Once I rotate them by a given angle I obtain a set of points B whose coordinates should match the ones of A. My goal is to find the row j of array B which equals the row i of array A. Given that the rotation creates some numerical error I won't have perfect match, that's why I'm looking for a way which could overcome this issue.

Best Answer

You can calculate the pairwise distance and set a threshold to accept two vectors as equal.

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MATLAB: Is it possible to calculate the average Manhattan distance between a set of 2D points with one function

I think this does what you want. You could probably make it more efficient recognizing the symmetry of the distance matrix, but just wanted to get the main idea across

% just some data to try, you'd put your here
x = [1 8 7 2 6 3]
y = [3 6 2 5 1 4]
numPoints = length(x)
% make array of Manhattan distances (L1 norm) between between each point to all other points
D = zeros(numPoints)
for j = 1:numPoints
    for k = 1:numPoints
        D(j,k) = norm([x(j),y(j)] -[x(k),y(k)],1);
    end
end
% set main diagonal to inf so it won't be included when looking for minimum
% distance
D = D + diag(inf(numPoints,1));
% find minimum distance for each row
dMin = min(D,[],2);
% find average minimum
dAvg = mean(dMin)

MATLAB: ‘rows’ function meaning in matlab

 'rows'

This will display the word 'rows'. If you type

'any word'

This will display

any word

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Related Solutions

MATLAB: Is it possible to calculate the average Manhattan distance between a set of 2D points with one function

MATLAB: ‘rows’ function meaning in matlab

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