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function [z6t] = split_Z_cub(z3d) |
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% [z6t] = split_Z_cub(z3d) |
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%--------------------------------------------- |
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% split 2d/3d arrays z3d to 2d/3d x 6 faces |
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% and add 1 column + 1 row |
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% => output is z6t(nc+1,nc+1,[nr],6) |
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% either input is z3d(nc*6*nc+2,*): includes the 2 missing corners |
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% or input is z3d(nc*6,nc,*): => use the average value (from the 3 |
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% neighbours) for the 2 missing corners |
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%---------------------------------------------- |
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% $Header: $ |
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% $Name: $ |
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|
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dims=size(z3d); nDim=length(dims); |
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%fprintf(' nDim= %i , dims:',nDim);fprintf(' %i',dims);fprintf('\n'); |
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|
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nc=fix((dims(1)-2)/6); nc=fix(sqrt(abs(nc))); |
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if dims(1) == nc*nc*6+2, |
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nr=dims(2); if nDim > 2, nr=prod(dims(2:end)); end |
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nx=6*nc ; nPg=nx*nc; nPts=nPg+2; dims=[nPts 1 dims(2:end)]; |
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z3d=reshape(z3d,[nPts nr]); |
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zzC=z3d(nPg+1:nPg+2,:); z3d=z3d(1:nPg,:); |
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elseif dims(1) == 6*dims(2), |
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if nDim == 2, nr=1; else nr=prod(dims(3:end)); end |
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nc=dims(2); nx=6*nc ; nPg=nx*nc; nPts=nPg+2; |
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zzC=zeros(2,nr); |
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else |
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fprintf(' Error in split_Z_cub: bad input dimensions :'); |
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fprintf(' %i',dims); fprintf('\n'); |
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z6t=0; return |
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end |
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|
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%================================================================= |
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|
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z3d=reshape(z3d,[nc 6 nc nr]); z3d=permute(z3d,[1 3 4 2]); |
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ncp=nc+1; z6t=zeros(ncp,ncp,nr,6); |
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|
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%-- split on to 6 faces: |
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z6t([1:nc],[1:nc],:,:)=z3d; |
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|
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%-- add overlap in i+1 & j+1 : |
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z6t(ncp,[1:nc], :,1)=z3d(1,[1:nc],:,2); |
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z6t(ncp,[2:ncp],:,2)=z3d([nc:-1:1],1,:,4); |
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z6t(ncp,[1:nc], :,3)=z3d(1,[1:nc],:,4); |
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z6t(ncp,[2:ncp],:,4)=z3d([nc:-1:1],1,:,6); |
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z6t(ncp,[1:nc], :,5)=z3d(1,[1:nc],:,6); |
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z6t(ncp,[2:ncp],:,6)=z3d([nc:-1:1],1,:,2); |
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|
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z6t([2:ncp],ncp,:,1)=z3d(1,[nc:-1:1],:,3); |
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z6t([1:nc], ncp,:,2)=z3d([1:nc],1,:,3); |
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z6t([2:ncp],ncp,:,3)=z3d(1,[nc:-1:1],:,5); |
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z6t([1:nc], ncp,:,4)=z3d([1:nc],1,:,5); |
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z6t([2:ncp],ncp,:,5)=z3d(1,[nc:-1:1],:,1); |
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z6t([1:nc], ncp,:,6)=z3d([1:nc],1,:,1); |
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|
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%---------------------------------------------------- |
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|
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%-- missing corners : |
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if dims(1) ~= nPts, |
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%- use the average value (from the 3 neighbours) |
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zzC(1,:)=z3d(1,nc,:,1)+z3d(1,nc,:,3)+z3d(1,nc,:,5); |
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zzC(2,:)=z3d(nc,1,:,2)+z3d(nc,1,:,4)+z3d(nc,1,:,6); |
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zzC=zzC/3; |
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fprintf('split_Z_cub: fills 2 missing corners with local mean value\n'); |
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end |
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%- 1rst (nPg+1) = N.W corner of face 1 |
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z6t(1,ncp,:,1)=zzC(1,:); |
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z6t(1,ncp,:,3)=zzC(1,:); |
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z6t(1,ncp,:,5)=zzC(1,:); |
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%- 2nd (nPg+2) = S.E corner of face 2 |
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z6t(ncp,1,:,2)=zzC(2,:); |
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z6t(ncp,1,:,4)=zzC(2,:); |
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z6t(ncp,1,:,6)=zzC(2,:); |
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|
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if nDim > 2, |
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z6t=reshape(z6t,[ncp ncp dims(3:end) 6]); |
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else |
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z6t=squeeze(z6t); |
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end |
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|
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return |
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