normalizeVector

NORMALIZEVECTOR Normalize a vector to have norm equal to 1.

   V2 = normalizeVector(V);
   Returns the normalization of vector V, such that ||V|| = 1. V can be
   either a row or a column vector.

   When V is a M-by-N array, normalization is performed for each row of
   the array.

   When V is a M-by-N-by-2 array, normalization is performed along the
   last dimension of the array.

   Example:
   vn = normalizeVector([3 4])
   vn =
       0.6000   0.8000
   vectorNorm(vn)
   ans =
       1

   See Also:
     vectors2d, vectorNorm

0001 function vn = normalizeVector(v)
0002 %NORMALIZEVECTOR Normalize a vector to have norm equal to 1.
0003 %
0004 %   V2 = normalizeVector(V);
0005 %   Returns the normalization of vector V, such that ||V|| = 1. V can be
0006 %   either a row or a column vector.
0007 %
0008 %   When V is a M-by-N array, normalization is performed for each row of
0009 %   the array.
0010 %
0011 %   When V is a M-by-N-by-2 array, normalization is performed along the
0012 %   last dimension of the array.
0013 %
0014 %   Example:
0015 %   vn = normalizeVector([3 4])
0016 %   vn =
0017 %       0.6000   0.8000
0018 %   vectorNorm(vn)
0019 %   ans =
0020 %       1
0021 %
0022 %   See Also:
0023 %     vectors2d, vectorNorm
0024 %
0025 
0026 %   ---------
0027 %   author : David Legland
0028 %   INRA - TPV URPOI - BIA IMASTE
0029 %   created the 29/11/2004.
0030 %
0031 
0032 %   HISTORY
0033 %   2005-01-14 correct bug
0034 %   2009-05-22 rename as normalizeVector
0035 %   2011-01-20 use bsxfun
0036 
0037 if ismatrix(v)
0038     vn = bsxfun(@rdivide, v, sqrt(sum(v.^2, 2)));
0039 else
0040     vn = bsxfun(@rdivide, v, sqrt(sum(v.^2, ndims(v))));
0041 end