  The approach to curve implicitization through Sylvester and Bezout resultant
matrices and bivariate interpolation in the usual power basis is extended to
the case of Bernstein-Bezoutian matrices constructed when the polynomials are
given in the Bernstein basis. The coefficients of the implicit equation are
also computed in the bivariate tensor-product Bernstein basis, and their
computation involves the bidiagonal factorization of the inverses of certain
totally positive matrices.
