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# Normalize N-D Vectors in Single Matrix or N Component Matrices 1.0

Date Added: June 06, 2013  |  Visits: 221

Normalizes N-D vectors provided either in one matrix, or as multiple component matrices.NORMVEC normalize vector(s). NORMVEC computes the unit vectors in the direction of the vectors provided. It can process two types of arguments: 1) single matrix of vectors 2) multiple matrices of vector components (as those returned by MESHGRID and NDGRID) In both cases, the p-norm to be used can be specified. The default is the 2-norm (Euclidean). Only in the first case, the matrix dimension along which the vectors are defined can be defined. The default is the first non-singleton This behavior is derived from VNORM (FEX id=#10708, by Winston Smith), which is called by this function. Zero vectors are normalized to 0 and NOT to NaN.usageCase A: matrix of N-dimensional column vectors [v] = NORMVEC(v) [v] = NORMVEC(v, 'p', n) [v] = NORMVEC(v, 'p', n, 'dim', d) v = matrix of column vectors = [#dimensions x #vectors] n = p-norm selected (e.g. 2 is the Euclidean norm ||.||_2) d = norm for vectors defined along dimension d of matrix v >= 1 or [] (vectors along first non-singleton dimension)Case B: 2 component matrices of 2-dimensional vectors [px, py] = NORMVEC(px, py) [px, py] = NORMVEC(px, py, 'p', n) px = matrix [M x N] of x vector components py = matrix [M x N] of y vector components n = 'p' norm selectedCase C: 3 component matrices of 3-dimensional vectors [px, py, pz] = NORMVEC(px, py, pz) [px, py, pz] = NORMVEC(px, py, pz, 'p', n) px = matrix [M x N x L] of x vector components py = matrix [M x N x L] of y vector components pz = matrix [M x N x L] of z vector components n = 'p' norm selectedCase D: N component matrices of N-dimensional vectors [px1, px2, ..., pxN] = NORMVEC(px1, px2, ..., pxN) [px1, px2, ..., pxN] = NORMVEC(px1, px2, ..., pxN, 'p', n) pxi = matrix [M1 x M2 x ... x MN] of xi vector components n = 'p' norm selecteddependency (included) vnorm, File Exchange ID = 10708, (c) 2006 by Winston Smith http://www.mathworks.com/matlabcentral/fileexchange/10708-vector-norm

 Requirements: No special requirements Platforms: Matlab Keyword: Called,  Defined,  Function,  Id3d10708,  Normalized,  Smith,  Usage,  Vnorm,  Winston Users rating: 0/10