[Master Index] [Index for Toolbox]

# colnorm

## (Toolbox/colnorm.m in BrainStorm 2.0 (Alpha))

### Function Synopsis

    [nrm,Anrm] = colnorm(A);

### Help Text

    COLNORM - Calculate L2 norm for each column of a matrix and normalize
     function [nrm,Anrm] = colnorm(A);
     calculate the Euclidean norm of each COLUMN in A, return as
     a row vector with same number of cols as A.
     Optionally, return A with each column now normalized

### Cross-Reference Information

This function is called by

    bst_headmodeler                    C:\BrainStorm_2001\Toolbox\bst_headmodeler.m
    bst_sourceimaging                  C:\BrainStorm_2001\Toolbox\bst_sourceimaging.m
    curvature_cortex                   C:\BrainStorm_2001\Toolbox\curvature_cortex.m
    headmodeler_gui                    C:\BrainStorm_2001\Toolbox\headmodeler_gui.m
    lcmvbf                             C:\BrainStorm_2001\Toolbox\lcmvbf.m
    least_squares_fit                  C:\BrainStorm_2001\Toolbox\least_squares_fit.m
    minnorm                            C:\BrainStorm_2001\Toolbox\minnorm.m
    mritool_cb                         C:\BrainStorm_2001\Toolbox\mritool_cb.m
    os_meg                             C:\BrainStorm_2001\Toolbox\os_meg.m
    overlapping_sphere                 C:\BrainStorm_2001\Toolbox\overlapping_sphere.m
    overlapping_sphere_fmins           C:\BrainStorm_2001\Toolbox\overlapping_sphere_fmins.m
    rapmusic_gui                       C:\BrainStorm_2001\Toolbox\rapmusic_gui.m
    ray_intersect                      C:\BrainStorm_2001\Toolbox\ray_intersect.m
    results_time_series                C:\BrainStorm_2001\Toolbox\results_time_series.m
    source_grids                       C:\BrainStorm_2001\Toolbox\source_grids.m
    tesselate                          C:\BrainStorm_2001\Toolbox\tesselate.m

### Listing of function C:\BrainStorm_2001\Toolbox\colnorm.m

    function [nrm,Anrm] = colnorm(A);
    %COLNORM - Calculate L2 norm for each column of a matrix and normalize
    % function [nrm,Anrm] = colnorm(A);
    % calculate the Euclidean norm of each COLUMN in A, return as
    % a row vector with same number of cols as A.
    % Optionally, return A with each column now normalized

    %<autobegin> ---------------------- 26-May-2004 11:29:53 -----------------------
    % --------- Automatically Generated Comments Block Using AUTO_COMMENTS ---------
    %
    % CATEGORY: Utility - Numeric
    %
    % At Check-in: $Author: Mosher $  $Revision: 14 $  $Date: 5/26/04 9:59a $
    %
    % This software is part of BrainStorm Toolbox Version 2.0 (Alpha) 24-May-2004
    %
    % Principal Investigators and Developers:
    % ** Richard M. Leahy, PhD, Signal & Image Processing Institute,
    %    University of Southern California, Los Angeles, CA
    % ** John C. Mosher, PhD, Biophysics Group,
    %    Los Alamos National Laboratory, Los Alamos, NM
    % ** Sylvain Baillet, PhD, Cognitive Neuroscience & Brain Imaging Laboratory,
    %    CNRS, Hopital de la Salpetriere, Paris, France
    %
    % See BrainStorm website at http://neuroimage.usc.edu for further information.
    %
    % Copyright (c) 2004 BrainStorm by the University of Southern California
    % This software distributed  under the terms of the GNU General Public License
    % as published by the Free Software Foundation. Further details on the GPL
    % license can be found at http://www.gnu.org/copyleft/gpl.html .
    %
    % FOR RESEARCH PURPOSES ONLY. THE SOFTWARE IS PROVIDED "AS IS," AND THE
    % UNIVERSITY OF SOUTHERN CALIFORNIA AND ITS COLLABORATORS DO NOT MAKE ANY
    % WARRANTY, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO WARRANTIES OF
    % MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, NOR DO THEY ASSUME ANY
    % LIABILITY OR RESPONSIBILITY FOR THE USE OF THIS SOFTWARE.
    %<autoend> ------------------------ 26-May-2004 11:29:53 -----------------------

    % ----------------------------- Script History ---------------------------------
    % 1994 by John C. Mosher
    % May 6, 1994 JCM author
    % Nov 19, 1996 added Anrm option
    % June 13, 1999 JCM optimized the nrm division into A
    % 19-May-2004 JCM Comments Cleaning
    % ----------------------------- Script History ---------------------------------

    [m,n] = size(A);

    if(m>1),            % multiple rows
      nrm = sqrt(sum([A.*conj(A)]));
    else                % A is row vector
      nrm = abs(A);            % just return mag of each column
    end

    if(nargout > 1),
      ndx = find(nrm>0);        % any zero norm?
      Anrm = zeros(size(A));
      % normalize any non-zero columns
      Anrm(:,ndx) = A(:,ndx) ./ nrm(ones(m,1),ndx);
    end

    return

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