Publisher review:3D Data Interpolation - 3D interpolation using modified 4-point vector Newton interpolation Syntax: ui=NewtFit(x,y,z,u,xi,yi,zi)3D interpolation. It may be used where griddata3 fails to find a triangularization of the datagrid (x,y,z). The function uses a modified 4 point Newton interpolation formula for vector arguments in 3D instread of scalars used in 1D. The interpolation is performed for the 4 nearest neighbors for each point in the (xi,yi,zi).u=u(x,y,z) is the data from which ui(xi,yi,zi) is interpolated x,y,z,u are vectors of same size and xi,yi,zi are also vectors. The fit is exact (u=ui) for points (xi,yi,zi) that coinside with data points (x,y,z). Note: NewtFit also delivers result for points outside the domain (i.e., extrapolation), but results may be inaccurate then.%Example: Prepare data in random non-uniform gridxyz=rand(10003,3);x=xyz(:,1);y=xyz(:,2);z=xyz(:,3);u=x.^3 sin(pi*y).^2.*z.^2;%Gridpoints to fit:xyz=rand(8007,3);xi=xyz(:,1);yi=xyz(:,2);zi=xyz(:,3);%Interpolateui=NewtFit(x,y,z,u,xi,yi,zi);%compare and plotuui=xi.^3 sin(pi*yi).^2.*zi.^2;%exactplot(uui,ui,'.');pause(4)hist(uui-ui,60);standard_deviation=std(uui-ui)
3D Data Interpolation is a Matlab script for Mathematics scripts design by Per Sundqvist.
It runs on following operating system: Windows / Linux / Mac OS / BSD / Solaris.
Operating system:Windows / Linux / Mac OS / BSD / Solaris
3D Data Interpolation script details 
