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\bibitem[BCD03]{BuCoDA}
L.\ Bus\a'{e}, D.\ Cox, and C.\ D'Andrea.
\newblock Implicitization of surfaces in the projective space in the presence
  of base points, 2003.

\bibitem[BLB10]{BusLBa10}
L.~Bus\a'{e} and T.~Luu~Ba.
\newblock Matrix-based implicit representations of rational algebraic curves
  and applications.
\newblock {\em Computer-Aided Geometric Design}, 27(9):681--699, 2010.

\bibitem[BLB12]{BusLBa12}
L.~Bus\a'{e} and T.~Luu~Ba.
\newblock The surface/surface intersection problem by means of matrix based
  representations.
\newblock {\em Computer-Aided Geometric Design}, 29(8):579--598, 2012.

\bibitem[Bus14]{Buse14}
L.~Bus\a'{e}.
\newblock Implicit matrix representations of rational {B\a'{e}zier} curves and
  surfaces.
\newblock {\em Computer-Aided Design}, 46:14--24, 2014.
\newblock Spec. Issue 2013 SIAM Conf. Geometric \& Physical Modeling.

\bibitem[CGZ00]{CGZ00}
D.~Cox, R.~Goldman, and M.~Zhang.
\newblock On the validity of implicitization by moving quadrics for rational
  surfaces with no base points.
\newblock {\em J. Symb. Comput.}, 29(3):419--440, 2000.

\bibitem[CLO05]{CLO2}
D.~Cox, J.~Little, and D.~O'Shea.
\newblock {\em Using Algebraic Geometry}.
\newblock Number 185 in GTM. Springer, New York, 2nd edition, 2005.

\bibitem[Cox01]{Cox01}
D.A. Cox.
\newblock Equations of parametric curves and surfaces via syzygies.
\newblock In {\em Symbolic Computation: Solving Equations in Algebra, Geometry,
  and Engineering}, volume 286 of {\em Contemporary Mathematics}, pages 1--20.
  AMS, 2001.

\bibitem[Cox03]{Cox03}
D.A. Cox.
\newblock Curves, surfaces, and syzygies.
\newblock In {\em Topics in algebraic geometry and geometric modeling}, volume
  334 of {\em Contemporary Mathematics}, pages 131--150. AMS, 2003.

\bibitem[CSC98]{CSC98}
D.A. Cox, T.W. Sederberg, and F.~Chen.
\newblock The moving line ideal basis of planar rational curves.
\newblock {\em Comput. Aided Geom. Des.}, 15(8):803--827, September 1998.

\bibitem[Dok01]{Dokk01}
T.~Dokken.
\newblock Approximate implicitization.
\newblock In {\em Mathematical methods for curves and surfaces (Oslo 2000)},
  Innov.\ Appl.\ Math., pages 81--102. Vanderbilt Univ.\ Press, Nashville,
  2001.

\bibitem[EKK15]{EmKaKoGmod}
{I.Z.} Emiris, T.\ Kalinka, and C.\ Konaxis.
\newblock Geometric operations using sparse interpolation matrices.
\newblock {\em Graphical Models}, 82:99--109, November 2015.

\bibitem[EKKL13]{EmKaKoLBspm}
{I.Z.} Emiris, T.\ Kalinka, C.\ Konaxis, and T.~{Luu Ba}.
\newblock Sparse implicitization by interpolation: Characterizing
  non-exactness, and an application to computing discriminants.
\newblock {\em Computer-Aided Design, Spec. Issue Solid \& Physical Modeling},
  45:252--261, 2013.

\bibitem[FS05]{FloSur05}
M.S. Floater and T.~Surazhsky.
\newblock Parameterization for curve interpolation.
\newblock In {\em Topics in multivariate approximation and interpolation},
  pages 101--115. Elsevier, 2005.

\bibitem[MC92]{MaCa92a}
D.~Manocha and {J.F.} Canny.
\newblock The implicit representation of rational parametric surfaces.
\newblock {\em J.~Symbolic Computation}, 13:485--510, 1992.

\bibitem[SBAD16]{AlBuDoSh16}
J.~Shen, L.~Bus\a'{e}, P.~Alliez, and N.~Dodgson.
\newblock A line/trimmed {NURBS} surface intersection algorithm using matrix
  representations.
\newblock Technical report, INRIA, 2016.

\bibitem[SC95]{SedChe95}
T.W. Sederberg and F.~Chen.
\newblock Implicitization using moving curves and surfaces.
\newblock In R.~Cook, editor, {\em Proc.\ SIGGRAPH}, pages 301--308. Addison
  Wesley, 1995.

\bibitem[SGD97]{SGD97}
T.~Sederberg, R.~Goldman, and H.~Du.
\newblock Implicitizing rational curves by the method of moving algebraic
  curves.
\newblock {\em J. Symbolic Computation}, 23(2):153--175, 1997.

\bibitem[SSQK94]{SSQK94}
T.W. Sederberg, T.~Saito, D.~Qi, and K.S. Klimaszewski.
\newblock Curve implicitization using moving lines.
\newblock {\em Computer-Aided Geometric Design}, 11(6):687--706, 1994.

\bibitem[SY08]{StuYu08}
B.~Sturmfels and J.~Yu.
\newblock Tropical implicitization and mixed fiber polytopes.
\newblock In {\em Software for Algebraic Geometry}, volume 148 of {\em IMA
  Volumes in Math.\ \& its Applic.}, pages 111--131. Springer, New York, 2008.

\end{thebibliography}
