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mlosch |
1.1 |
function [Tm,xc,yc,zc] = interp3ddata_int(xl,yl,zl,TL,xc,yc,zc,msk); |
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% |
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% [T,x,y,z] = interp3ddata_int(xl,yl,zl,TL,xc,yc,zc,msk); |
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nxc=size(xc,1); |
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nyc=size(yc,2); |
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[nzc]=prod(size(zc)); |
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[nxl,nyl,nzl]=size(TL); |
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% Back out the grid spacing for model |
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dz(1)=-zc(1)*2; |
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zf(1)=0; |
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for k=1:nzc-1; |
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zf(k+1)=zf(k)-dz(k); |
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dz(k+1)=2*(zf(k+1)-zc(k+1)); |
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end |
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zf(nzc+1)=zf(nzc)-dz(nzc); |
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% Assume some grid spacing for Levitus |
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zlf=[0 (zl+zl([2:end end]))/2]; |
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dzl=zlf(1:nzl)-zlf(2:nzl+1); |
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% Use NaN's to represent no data |
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TL=sq(TL); |
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% Create halo in X direction |
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disp('Adding wrap around data') |
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xl=[xl(end-2:end)-360 xl xl(1:3)+360]; |
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for k=1:size(TL,3); |
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TLL(:,:,k)=[TL(end-2:end,:,k)' TL(:,:,k)' TL(1:3,:,k)']'; |
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end |
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TL=TLL; clear TLL |
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% Interpolate horiztonally |
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for k=1:size(TL,3); |
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disp( sprintf('Interpolating (x-y) level %i',k) ); |
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Tl=interp2(yl,xl,TL(:,:,k),yc,xc,'cubic'); |
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Te=interp2(yl,xl,TL(:,:,k),yc,xc,'linear'); |
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jj=find( isnan(Tl) ) ; Tl(jj)=Te(jj); |
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Te=interp2(yl,xl,TL(:,:,k),yc,xc,'nearest'); |
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jj=find( isnan(Tl) ) ; Tl(jj)=Te(jj); |
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%Tl(find(isnan(Tl)))=0; |
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Tl=xyexpand(Tl.*sq(msk(:,:,1)),11); |
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Tm(:,:,k)=Tl.*sq(msk(:,:,1)); |
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end |
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clear Tl Te jj TL |
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disp('Vertical interpolation') |
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Tm( find(isnan(Tm)) )=0; |
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hm=reshape( -sum(reshape(msk,[nxc*nyc nzc])*dz',3) ,[nxc nyc]); |
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hl=reshape( -sum(reshape(mask(Tm),[nxc*nyc nzl])*dzl',3) ,[nxc nyc]); |
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for kk=1:nzc; |
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z1m=max(zf(kk),hm); |
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z2m=max(zf(kk+1),hm); |
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dm=max(z1m-z2m,0); |
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dw=0; |
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ti=0; |
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for k=1:nzl; |
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z1l=max(zlf(k),hl); |
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z2l=max(zlf(k+1),hl); |
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z1=min(z1m,z1l); |
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% z2=min(z2m,z2l); |
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z2=max(z2m,z2l); |
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dd=max(z1-z2,0); |
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dw=dw+dd; |
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ti=ti+dd.*Tm(:,:,k); |
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end |
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Tl(:,:,kk)=ti./sq(dw); |
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end |
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Tm=Tl.*msk; |
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clear Tl |
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Tmsk=mask(Tm); |
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it=0; |
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while( sum(Tmsk(:)-msk(:)) & it<15) |
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it=it+1; |
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disp( sprintf('Number of points needing vertical extrapolation = %i', ... |
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sum(msk(:)-Tmsk(:)) ) ); |
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Te=2*Tm(:,:,[1 1:end-1])-Tm(:,:,[1 1 1:end-2]); |
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jj=find( Tmsk==0 & msk==1 ); |
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Tm(jj)=Te(jj); |
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Tmsk=mask(Tm); |
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end |
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% Remove NaN's |
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Tm( find(isnan(Tm)) )=0; |