Dokken, Tor; Kellermann, Hermann K.; Tegnander, Cathrine An approach to weak approximate implicitization. (English) Zbl 0989.65020 Lyche, Tom (ed.) et al., Mathematical methods for curves and surfaces. 5th international conference, Oslo, Norway, June 29 - July 4, 2000. Nashville, TN: Vanderbilt University Press. Innovations in Applied Mathematics. 103-112 (2001). Summary: We present an approach for finding approximate implicitizations to a 2D-curve (or 3D-surface) using a weak formulation (\(L_2\)-norm). The corresponding numerical algorithm is presented, and the results are illustrated by numerical examples.For the entire collection see [Zbl 0968.00046]. Cited in 5 Documents MSC: 65D17 Computer-aided design (modeling of curves and surfaces) Keywords:computer aided geometric design; implicit equation; curve; surface; numerical examples PDFBibTeX XMLCite \textit{T. Dokken} et al., in: Mathematical methods for curves and surfaces. 5th international conference, Oslo, Norway, June 29 -- July 4, 2000. Nashville, TN: Vanderbilt University Press. 103--112 (2001; Zbl 0989.65020)