# Inpaint over missing data in N-D arrays (Scripts) 1.0

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## Inpaint over missing data in N-D arrays (Scripts) Publisher's description

### Y = INPAINTN(X) replaces the missing data in X by extra/interpolating the non-missing elements

Y = INPAINTN(X) replaces the missing data in X by extra/interpolating the non-missing elements. The non finite values (NaN or Inf) in X are considered as missing data. X can be any N-D array.

Important note:
----------------
INPAINTN uses an iterative process that converges toward the solution. Y = INPAINTN(X,N) uses N iterations. By default, N = 100. If you estimate that INPAINTN did not totally converge, then increase N: Y = INPAINTN(X,1000);

Notes:
-----
INPAINT_NANS and INPAINT_NANS3 are faster than INPAINTN when the number of NaN elements is (relatively) small. However, because INPAINT_NANS and INPAINT_NANS3 both involve huge matrices, they can be limited with large datasets.

Example:
--------
%% ---- 3-D data ---- %%
xmin = min(x(:)); xmax = max(x(:));
zmin = min(z(:)); ymax = max(y(:));
%-- wind velocity
vel0 = interp3(sqrt(u.^2+v.^2+w.^2),1,'cubic');
x = interp3(x,1); y = interp3(y,1); z = interp3(z,1);
%-- remove randomly 90% of the data
I = randperm(numel(vel0));
velNaN = vel0;
velNaN(I(1:round(numel(I)*.9))) = NaN;
%-- inpaint using INPAINTN
vel = inpaintn(velNaN);
%-- display the results
subplot(221), imagesc(velNaN(:,:,15)), axis equal off
title('Corrupt plane, z = 15')
subplot(222), imagesc(vel(:,:,15)), axis equal off
title('Reconstructed plane, z = 15')
subplot(223)
hsurfaces = slice(x,y,z,vel0,[xmin,100,xmax],ymax,zmin);
set(hsurfaces,'FaceColor','interp','EdgeColor','none')
hcont = contourslice(x,y,z,vel0,[xmin,100,xmax],ymax,zmin);
set(hcont,'EdgeColor',[.7,.7,.7],'LineWidth',.5)
view(3), daspect([2,2,1]), axis tight
title('Original data compared with...')
subplot(224)
hsurfaces = slice(x,y,z,vel,[xmin,100,xmax],ymax,zmin);
set(hsurfaces,'FaceColor','interp','EdgeColor','none')
hcont = contourslice(x,y,z,vel,[xmin,100,xmax],ymax,zmin);
set(hcont,'EdgeColor',[.7,.7,.7],'LineWidth',.5)
view(3), daspect([2,2,1]), axis tight
title('... reconstructed data')

#### System Requirements:

MATLAB 7.6 (R2008a)
Program Release Status: New Release
Program Install Support: Install and Uninstall

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