Matrix3D::Orthogonalize

Orthogonalizes the columns of a matrix.

Matrix3D& Orthogonalize(column);

column

The index of the column whose direction does not change. This must be 0, 1, or 2.

The Orthogonalize function uses Gram-Schmidt orthogonalization to orthogonalize the columns of a matrix. The column whose index is specified by the column parameter is normalized to unit length. The remaining two columns are orthogonalized and made unit length. Only the two columns not specified by the column parameter can change direction.