直接上代碼：過程跟一維 二維的一樣

clear all; figure; %************************************************************************** % 3D Interpolation (takes some time) %************************************************************************** %Matlab [x,y,z,v] = flow(10); [xi,yi,zi] = meshgrid(.1:.25:10, -3:.25:3, -3:.25:3); vi = interp3(x,y,z,v,xi,yi,zi); subplot(2,2,1); slice(xi,yi,zi,vi,[6 9.5],2,[-2 .2]), shading flat; ; title('Interpolation using Matlab function interp3'); subplot(2,2,2); slice(x,y,z,v,[6 9.5],2,[-2 .2]), shading flat; title('data used for interpolation');%RBF op=rbfcreate([x(:)'; y(:)'; z(:)'], v(:)','RBFFunction', 'multiquadric', 'Stats', 'on'); rbfcheck(op); rbfvi = rbfinterp([xi(:)'; yi(:)'; zi(:)'], op); rbfvi = reshape(rbfvi, size(xi));subplot(2,2,3); slice(xi,yi,zi,rbfvi,[6 9.5],2,[-2 .2]), shading flat; ; title('RBF Interpolation');[xr,yr,zr,vr] = flow(100); subplot(2,2,4); slice(xr,yr,zr,vr,[6 9.5],2,[-2 .2]), shading flat; title('Original 3D data');clear all; figure; %************************************************************************** % 3D Interpolation using isosurface vizualization %************************************************************************** %Matlab [x,y,z,v] = flow(10); [xi,yi,zi] = meshgrid(.1:.55:10, -3:.55:3, -3:.55:3);vi = interp3(x,y,z,v,xi,yi,zi); subplot(2,2,1); p = patch(isosurface(xi,yi,zi,vi,-3)); title('Interpolation using Matlab function interp3'); isonormals(xi,yi,zi,vi,p) set(p,'FaceColor','red','EdgeColor','none'); daspect([1 1 1]) view(3); axis tight camlight lighting gouraud % show data used for interpolation subplot(2,2,2); p = patch(isosurface(x,y,z,v,-3)); title('data used for interpolation'); isonormals(x,y,z,v,p) set(p,'FaceColor','red','EdgeColor','none'); daspect([1 1 1]) view(3); axis tight camlight lighting gouraud%RBF op=rbfcreate([x(:)'; y(:)'; z(:)'], v(:)','RBFFunction', 'multiquadric', 'Stats', 'on'); rbfcheck(op); rbfvi = rbfinterp([xi(:)'; yi(:)'; zi(:)'], op); rbfvi = reshape(rbfvi, size(xi));subplot(2,2,3); p = patch(isosurface(xi,yi,zi,rbfvi,-3)); title('RBF Interpolation'); isonormals(xi,yi,zi,rbfvi,p) set(p,'FaceColor','red','EdgeColor','none'); daspect([1 1 1]) view(3); axis tight camlight lighting gouraud[x,y,z,v] = flow(100); subplot(2,2,4); p = patch(isosurface(x,y,z,v,-3)); title('Original 3D data'); isonormals(x,y,z,v,p) set(p,'FaceColor','red','EdgeColor','none'); daspect([1 1 1]) view(3); axis tight camlight lighting gouraud

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