how does griddata asses duplicates?

Question

Valeria Leto 2022-2-10

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1647090-how-does-griddata-asses-duplicates

编辑： Adam Danz 2022-2-11

Hi! I would like to understand how griddata asses duplicate point. I opened the function and I found this section:

%Need x,y and z to be column vectors
sz = numel(x);
x = reshape(x,sz,1);
y = reshape(y,sz,1);
v = reshape(v,sz,1);
myepsx = eps(0.5 * (max(x) - min(x)))^(1/3);
myepsy = eps(0.5 * (max(y) - min(y)))^(1/3);
% look for x, y points that are indentical (within a tolerance)
% average out the values for these points
if isreal(v)
    xyv = builtin('_mergesimpts', [y, x, v], [myepsy, myepsx, Inf], 'average');
    x = xyv(:,2);
    y = xyv(:,1);
    v = xyv(:,3);  

could somebody explain me

xyv = builtin('_mergesimpts', [y, x, v], [myepsy, myepsx, Inf], 'average');

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Answer 1

Adam Danz 2022-2-10

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https://ww2.mathworks.cn/matlabcentral/answers/1647090-how-does-griddata-asses-duplicates#answer_893125

编辑：Adam Danz 2022-2-11

That line calls Matlab's built-in static method or function matlab.internal.math.mergesimpts(). The comments describe what it's doing. It takes the x y v vectors and defines tolerance levels for each variable (myepsy, myepsx, Inf). The tolerance levels define which values are "identical" or "close enough to be identical". Identical values are then averaged to get rid of (near) duplicates.