Interpolation for 3D scattered data

Question

Az 2017-4-25

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/337193-interpolation-for-3d-scattered-data

评论： Heru Leonardo 2020-4-22

a= [0 5 9 20 30 35] ;  % cordinbates X 
b= [0 4 27 31 35] ;    % cordinbates Y
c= [1 5 6 8 10 20 ] ;  % cordinbates Z
d= [40 40.1 40.2 40.4 40.1 40.1] ;   % Temperature Values 
[x,y,z] = meshgrid(a,b,c);
v = interp3(a,b,c,d,x,y,z);

does not work I need v to be interpolated for every 3D point (x,y,z). How can I perform? Thanks in advance

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Answer 1

KSSV 2017-4-25

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https://ww2.mathworks.cn/matlabcentral/answers/337193-interpolation-for-3d-scattered-data#answer_264405

在 MATLAB Online 中打开

You have to make d a 3d matrix of size equal to x.

a= [0 5 9 20 30 35] ;  % cordinbates X 
b= [0 4 27 31 35] ;    % cordinbates Y
c= [1 5 6 8 10 20 ] ;  % cordinbates Z
d= [40 40.1 40.2 40.4 40.1 40.1] ;   % Temperature Values 
[x,y,z] = meshgrid(a,b,c);
d1 = repmat(d,size(x,1),1) ;
d2 = zeros(size(x)) ;
for i = 1:size(x,3)
    d2(:,:,i) = d1 ;
end
v = interp3(a,b,c,d2,x,y,z);

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Answer 2

Andrei Bobrov 2017-4-25

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https://ww2.mathworks.cn/matlabcentral/answers/337193-interpolation-for-3d-scattered-data#answer_264406

在 MATLAB Online 中打开

a= [0 5 9 20 30 35] ;  % cordinbates X
b= [0 4 10 27 31 35] ;    % cordinbates Y I'm fixed 
c= [1 5 6 8 10 20 ] ;  % cordinbates Z
d= [40 40.1 40.2 40.4 40.1 40.1] ;   % Temperature Values
F = scatteredInterpolant(a(:),b(:),c(:),d(:));
[x,y,z] = meshgrid(a,b,c);
v = F(x,y,z);