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function [field_i mesh_i] = GetField_Interpolation(field, mesh, lines, varargin)
% [field_i mesh_i] = GetField_Interpolation(field, mesh, lines, varargin)
%
% Get an interpolated field, e.g. read by ReadHDF5Dump
%
% homogen interpolation given by a 3x1 vector: e.g. [21,1,101]
%
% abitrary interpolation on a given mesh:
% e.g.: mesh_interp{1} = linspace(0, 1,101) * 1e-3;
% mesh_interp{2} = linspace(0,0.5, 51) * 1e-3;
% mesh_interp{3} = linspace(0,0.2, 21) * 1e-3;
%
% example:
% [field mesh] = ReadHDF5Dump('Et.h5');
% %interpolate on a mesh with 21x21x101 lines
% [field_i mesh_i] = GetField_Interpolation(field, mesh, [21 21 101]);
% or
% [field_i mesh_i] = GetField_Interpolation(field, mesh, mesh_interp);
%
% %or both steps in one with the same result:
% [field_i mesh_i] = ReadHDF5Dump('Et.h5','Interpolation', [21 21 101]);
%
% openEMS matlab interface
% -----------------------
% author: Thorsten Liebig
%
% See also ReadHDF5Dump ReadHDF5FieldData ReadHDF5Mesh
if ((~iscell(lines) && ~isnumeric(lines)) || numel(lines)~=3)
error('openEMS:GetField_Interpolation: numLines for interpolation must be a vector...');
end
x = mesh.lines{1};
y = mesh.lines{2};
z = mesh.lines{3};
if (isnumeric(lines))
if (lines(1)==0)
x_i = x;
else
x_i = linspace(x(1),x(end),lines(1));
end
if (lines(2)==0)
y_i = y;
else
y_i = linspace(y(1),y(end),lines(2));
end
if (lines(3)==0)
z_i = z;
else
z_i = linspace(z(1),z(end),lines(3));
end
else
if isempty(lines{1})
x_i = x;
else
x_i = lines{1};
end
if isempty(lines{2})
y_i = y;
else
y_i = lines{2};
end
if isempty(lines{3})
z_i = z;
else
z_i = lines{3};
end
end
field_i = field;
mesh_i = mesh;
mesh_i.lines{1} = x_i;
mesh_i.lines{2} = y_i;
mesh_i.lines{3} = z_i;
% clear or create empty original indices list, since such do not make any
% sense with interpolated field values
mesh_i.original_indices = {};
if (isfield(field,'TD'))
field_i.TD = interpolate_fields(field.TD,x,y,z, x_i, y_i, z_i);
field_i.TD.time = field.TD.time;
field_i.TD.names= field.TD.names;
end
if (isfield(field,'FD'))
field_i.FD = interpolate_fields(field.FD,x,y,z, x_i, y_i, z_i);
field_i.FD.frequency = field.FD.frequency;
field_i.FD.DataType = field.FD.DataType;
end
return
function field_i = interpolate_fields(field, x,y,z, x_i, y_i, z_i)
% matlab cannot handle 3D data to be 2D data, workaround for these cases
if (numel(x)==1)
[Y Z] = ndgrid(y,z);
[Y_I Z_I] = ndgrid(y_i,z_i);
for n=1:numel(field.values)
field_i.values{n}(1,:,:,1) = interpn(Y,Z,squeeze(field.values{n}(1,:,:,1)),Y_I,Z_I);
if (size(field.values{n},4)>1)
field_i.values{n}(1,:,:,2) = interpn(Y,Z,squeeze(field.values{n}(1,:,:,2)),Y_I,Z_I);
field_i.values{n}(1,:,:,3) = interpn(Y,Z,squeeze(field.values{n}(1,:,:,3)),Y_I,Z_I);
end
end
return;
end
if (numel(y)==1)
[X Z] = ndgrid(x,z);
[X_I Z_I] = ndgrid(x_i,z_i);
for n=1:numel(field.values)
field_i.values{n}(:,1,:,1) = interpn(X,Z,squeeze(field.values{n}(:,1,:,1)),X_I,Z_I);
if (size(field.values{n},4)>1)
field_i.values{n}(:,1,:,2) = interpn(X,Z,squeeze(field.values{n}(:,1,:,2)),X_I,Z_I);
field_i.values{n}(:,1,:,3) = interpn(X,Z,squeeze(field.values{n}(:,1,:,3)),X_I,Z_I);
end
end
return;
end
if (numel(z)==1)
[X Y] = ndgrid(x,y);
[X_I Y_I] = ndgrid(x_i,y_i);
for n=1:numel(field.values)
field_i.values{n}(:,:,1,1) = interpn(X,Y,squeeze(field.values{n}(:,:,1,1)),X_I,Y_I);
if (size(field.values{n},4)>1)
field_i.values{n}(:,:,1,2) = interpn(X,Y,squeeze(field.values{n}(:,:,1,2)),X_I,Y_I);
field_i.values{n}(:,:,1,3) = interpn(X,Y,squeeze(field.values{n}(:,:,1,3)),X_I,Y_I);
end
end
return;
end
%real 3D case
[X Y Z] = ndgrid(x,y,z);
[X_I Y_I Z_I] = ndgrid(x_i,y_i,z_i);
for n=1:numel(field.values)
field_i.values{n}(:,:,:,1) = interpn(X,Y,Z,field.values{n}(:,:,:,1),X_I,Y_I,Z_I);
if (size(field.values{n},4)>1)
field_i.values{n}(:,:,:,2) = interpn(X,Y,Z,field.values{n}(:,:,:,2),X_I,Y_I,Z_I);
field_i.values{n}(:,:,:,3) = interpn(X,Y,Z,field.values{n}(:,:,:,3),X_I,Y_I,Z_I);
end
end
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