function field = field_composition(field, N)
% function field = field_composition(field, N)
%
% N compositions of the provided field.
%
% INPUT ARGUMENTS
% field 		- Field to compose
% N 			- Number of compositions to perform
%
% OPTIONAL INPUT ARGUMENTS
% N/A
%
% OUTPUT ARGUMENTS
% field 		- Composed field

% Copyright (c) 2012 Daniel Forsberg
% danne.forsberg@outlook.com
%
% This program is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with this program.  If not, see <http://www.gnu.org/licenses/>.

for l = 1 : N
    for k = 1 : length(field)
        newField{k} = deformation(field{k},field,'linear');
        newField{k} = newField{k}+field{k};
    end
    field = newField;
end