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How to interpolate R3->R3 (i mean 3D to 3D) function in Matlab? I have found many methods to interpolate function R3->R1 (i mean 3D to 1D), but no possible way to accoplish my task. Except for Thin Plate Splines, they worked fine, but I want something new (if it is possible, Kriging).
"Vq = interp3(X,Y,Z,V,Xq,Yq,Zq) returns... X, Y, and Z contain the coordinates of the sample points. V contains the corresponding function values (SCALAR) at each sample point. Xq, Yq, and Zq contain the coordinates of the query points." This is just what I have mentioned at the beginning. interp3 operate with function (bijection, correspondence) from space with 3 coordinates (3D, triplet) to space with 1 coordinate (1D, scalar). I want to establish and operate with correspondence from 3D to 3D..
TPS solves such problems. http://www.mathworks.com/matlabcentral/fileexchange/37576-3d-thin-plate-spline-warping-function http://www.mathworks.com/matlabcentral/fileexchange/22227-thin-plate-splines I used the first link. The interface is pretty straightforward. I marked: 1. points: old positions of control points; 2. ctrlpoints: new positions of control points; 3. object: source template.
But I want Kriging now.
Thank you very much.