TY - JOUR
T1 - Verifying the Implicitization Formulae for Degree N Rational Bézier Curves
AU - Wang , Guo-Jin
AU - Sederberg , T. W.
JO - Journal of Computational Mathematics
VL - 1
SP - 33
EP - 40
PY - 1999
DA - 1999/02
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9080.html
KW - Rational Bézier curve, Implicitization, Resultant, de Casteljau algorithm.
AB - <p style="text-align: justify;">This is a continuation of short communication$^{[1]}$. In [1] a verification of the
implicitization equation for degree two rational Bézier curves is presented which
does not require the use of resultants. This paper presents these verifications in the general cases, i.e., for degree $n$ rational Bézier curves. Thus some interesting interplay between the structure of the $n&nbsp;×&nbsp;n$ implicitization matrix and the de Casteljau algorithm is revealed.</p>