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mgrid

PURPOSE ^

MGRID Creates the d-dimensional grid with margin as 1-dimensional margin.

SYNOPSIS ^

function g = mgrid(margin, d)

DESCRIPTION ^

 MGRID Creates the d-dimensional grid with margin as 1-dimensional margin.

  g = mgrid(margin, d) creates a d-dimensional grid by 'folding' margin
    in d dimensions. The result is a d x length(margin)^d matrix representing
    all grid points (as column vectors) of the set margin^d.

    INPUT margin: margin of the grid to be created
               d: dimension of the grid

 created by Benedikt Rudolph
 DATE: 05-Sep-2012

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 function g = mgrid(margin, d)
0002 % MGRID Creates the d-dimensional grid with margin as 1-dimensional margin.
0003 %
0004 %  g = mgrid(margin, d) creates a d-dimensional grid by 'folding' margin
0005 %    in d dimensions. The result is a d x length(margin)^d matrix representing
0006 %    all grid points (as column vectors) of the set margin^d.
0007 %
0008 %    INPUT margin: margin of the grid to be created
0009 %               d: dimension of the grid
0010 %
0011 % created by Benedikt Rudolph
0012 % DATE: 05-Sep-2012
0013     
0014     m = length(margin);
0015     g = zeros(d, m^d); % pre-init grid
0016     for i=1:d % iterate over all dimensions
0017         g(i,:) = reshape( repmat(margin, m^(i-1), m^(d-i)), 1, m^d );
0018     end
0019 end

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