4D Interpolation scattered Data

Question

Alexander Schwarzwälder 2020-11-22

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https://ww2.mathworks.cn/matlabcentral/answers/657763-4d-interpolation-scattered-data

评论： Hau Trien 2022-5-23

Hi,

I have a set of all Coordinate Points (x,y,z) of my irregular shaped geometry and I have a set of data (xc,yc,zc,C) with C = value of interest. I want now to determine for every x,y,z of my geometry the value C.

I tried using but the results are not what i want:

[XXCoor, YYCoor, ZZCoor]=meshgrid(xc, yc, zc)

Cm = griddata(xc,yc,zc,C,XXCoor,YYCoor,ZZCoor);

scatter3(XXCoor(:),YYCoor(:),ZZCoor(:),4,Cm(:),'filled');

for illustration here is one picture with the datapoints x,y,z and one picture of plot what I tried. Like you can see the geometry is a facemask and i want C only on the facemask and not in the inner volume.

Maybe you can help me

best regards , Alex

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Alexander Schwarzwälder 2020-11-23

编辑：Alexander Schwarzwälder 2020-11-23

Attached are the files xyz.csv in the form of x|y|z coordinates of my geometry and the file Values in the form of x|y|z|Value (Humidity).

I want to find a Value for each x|y|z of the geometry given by xyz.csv.

If file xyz.csv is too large simply delete more lines. I delted already a lot but I do not want to lose the characteristics of the geometry as well.

Thanks for the fast reply!

PS: The few coordinates of the file Values.csv are not represented exactly by a value in xyz.csv but the coordinates are in the geometry.

Alexander Schwarzwälder 2020-11-23

something that migth work bette ris the scatterInterpolant but I did not understand it completely in my case.

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Answer 1

Alexander Schwarzwälder 2020-11-23

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https://ww2.mathworks.cn/matlabcentral/answers/657763-4d-interpolation-scattered-data#answer_553773

编辑：Alexander Schwarzwälder 2020-11-23

Hi guys, somehow I found the solution I want by a lot of experimenting :D At least it looks like something I want.

F = scatteredInterpolant(Xcoor, Ycoor, Zcoor,Cvapor);

scatter3(px,py,pz,4,F(px,py,pz),'filled');

I really appriciate your quick response to the post!

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Nora Khaled 2020-11-23

looks really nice

Hau Trien 2022-5-23

I am doing the similar thing and just found your comment here. What are your px, py, pz in this case?

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Answer 2

John D'Errico 2020-11-23

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Sorry, but you cannot use tools like griddata or scatteredInterpolant to interpolate non-single valued relations. It seems all you have are a set of scattered points from some general manifold embedded in R^3.

You probably need to work with the surface, perhaps as generated from a CRUST algorithm.