SVD line fitting or ransac line fitting in multidimensionl image

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prashant singh 2017-12-26

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编辑： Matt J 2017-12-28

i have a multidimensional image of size 1024*512*128. For each slice(1024*512), I have single point from the mid slice of an image say from slice 40 to 128. So, i have 89 points in my multidimensional (volumetric) image. how can i fit the straight line using svd/ ransac or any other method and then extrapolate that line to the end of the volumetric image?

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Matt J 2017-12-27

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https://ww2.mathworks.cn/matlabcentral/answers/374590-svd-line-fitting-or-ransac-line-fitting-in-multidimensionl-image#answer_297797

编辑：Matt J 2017-12-27

在 MATLAB Online 中打开

This will give you the equations Aeq*x=beq for the line,

       Q=[X(:),Y(:),Z(:)];
       m=mean(Q,1).';
       Q=Q-m.';
       [~,~,Z]=svd(Q,0);
   Aeq=Z(:,2:3).';
   beq=Aeq*m;

Because you know the vertices of the volume's bounding box (put them in the rows of a matrix V), you can then use intersectionHull (download here) to find the intersection points of the line with the box,

I=intersectionHull('vert',V,'lcon',[],[],Aeq,beq);