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% gauss2d() - generate a 2-dimensional gaussian matrix
%
% Usage:
% >> [ gaussmatrix ] = gauss2d( rows, columns, ...
% sigmaR, sigmaC, peakR, peakC, mask)
%
% Example:
% >> imagesc(gauss2d(50, 50)); % image a size (50,50) 2-D gaussian matrix
%
% Inputs:
% rows - number of rows in matrix
% columns - number of columns in matrix
% sigmaR - width of standard deviation in rows (default: rows/5)
% sigmaC - width of standard deviation in columns (default: columns/5)
% peakR - location of the peak in each row (default: rows/2)
% peakC - location of the peak in each column (default: columns/2)
% mask - (0->1) portion of the matrix to mask with zeros (default: 0)
%
% Ouput:
% gaussmatrix - 2-D gaussian matrix
%
% Author: Arnaud Delorme, CNL/Salk Institute, 2001
% Copyright (C) 2001 Arnaud Delorme, Salk Institute, arno@salk.edu
%
% 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 2 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, write to the Free Software
% Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
function mat = gauss2d( sizeX, sizeY, sigmaX, sigmaY, meanX, meanY, cut);
if nargin < 2
help gauss2d
return;
end;
if nargin < 3
sigmaX = sizeX/5;
end;
if nargin < 4
sigmaY = sizeY/5;
end;
if nargin < 5
meanX = (sizeX+1)/2;
end;
if nargin < 6
meanY = (sizeY+1)/2;
end;
if nargin < 7
cut = 0;
end;
X = linspace(1, sizeX, sizeX)'* ones(1,sizeY);
Y = ones(1,sizeX)' * linspace(1, sizeY, sizeY);
%[-sizeX/2:sizeX/2]'*ones(1,sizeX+1);
%Y = ones(1,sizeY+1)' *[-sizeY/2:sizeY/2];
mat = exp(-0.5*( ((X-meanX)/sigmaX).*((X-meanX)/sigmaX)...
+((Y-meanY)/sigmaY).*((Y-meanY)/sigmaY)))...
/((sigmaX*sigmaY)^(0.5)*pi);
if cut > 0
maximun = max(max(mat))*cut;
I = find(mat < maximun);
mat(I) = 0;
end;
return;