MATLAB: Fitting 3-dimensional datasets

lsqnonlin fit scale

I would like to fit one 3d dataset to another. I used lsqnonlin for this purpose, but I noticed, that the three axes are scaled differently. As a result i would like a matrix consisting of the rotation, translation and a (on all three axes equal) scale. Can anyone tell me which function I should use?

Best Answer

A little more searching lead me to the answer:

[d,Z,transform] = procrustes(X,Y)

is the function I was searching for.

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MATLAB: Scale one scattered dataset to fit another scattered dataset

Sure, your "equation" to minimize in least-squares sense is D1(x,y)-k*D2(t,z)

function sse=sseval(k,D1,D2)
  sse=sum((D1-k*D1).^2);

and use that as the functional for fminsearch. It expects a function of only the one vector, x, of unknown coeffiecients so define an anonymous function that incorporates the data in it --

  fun = @(x) sseval(x,D1,D2);

the values of D1, D2 in the workspace at the time of the definition of fun are embedded into the function definition itself automagically.

  x0=1;     % starting guess; perhaps the rms ratio of the two would be better if far from 1
  bestk=fminsearch(fun,x0);

MATLAB: 3-Dimensional Shortest Path

You are in luck. I have just released a code that does the very exact thing you want to the FileExchange. If you really need to use the toolbox function graphshortestpath, contact me for a version that uses that. Check the earlier sections of the file to find the efficient way to convert volumetric data into a graph, which should be the fastest most efficient way in the west (well while using MATLAB).

Here: http://www.mathworks.com/matlabcentral/fileexchange/55593-tortuosity---percolation---connected-path-calculation-for-3d-structures

Best Answer

Related Solutions

MATLAB: Scale one scattered dataset to fit another scattered dataset

MATLAB: 3-Dimensional Shortest Path

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