CL_unitVector

Description

• Normalizes vectors.

  Given a vector or matrix of vectors u, it computes the corresponding normalized vector (or matrix of vectors) v = u / ||u||.

  This function also returns the norms (norms) of the input vectors as second output argument.

• Notes:

  - If a vector is a null vector, the corresponding unit vector is undefined (%nan).

  - If u is an hypermatrix (of dimension 3), v(:,:,i) = CL_unitVector(u(:,:,i)).

Parameters

u:

Vector or matrix of column vectors (PxNxK). u is an hypermatrix if K>1.

v:

Vector or matrix of column vectors with norms equal to 1 (%nan if norm(u) is 0). (PxNxK)

norms:

Norms of input vectors. (1xNxK)

Authors

• CNES - DCT/SB

See also

• CL_norm

• CL_dMult

Examples

// With a matrix : u = rand(3,15); [v,norms] = CL_unitVector(u); // With an hypermatrix : u = rand(3,15,3); [v,norms] = CL_unitVector(u);