Factorization
   W = R2F3 S3P
SVD
   W = U Λ V   Λ must be rank 3
   W’ = (U Λ 1/2)(Λ1/2 V)    = U’ V’
Make R orthogonal
   R = QU’ ,  S = Q-1V’
   ifTQTQif = 1 …