Aigner, Martin; Jüttler, Bert Robust computation of foot points on implicitly defined curves. (English) Zbl 1080.65523 Dæhlen, Morten (ed.) et al., Mathematical methods for curves and surfaces: Tromsø2004. Sixth international conference on mathematical methods for curves and surfaces, celebrating the 60th birthday of Tom Lyche, Tromsø, Norway, July 1–6, 2004. Brentwood, TN: Nashboro Press (ISBN 0-9728482-4-X/hbk). Modern Methods in Mathematics, 1-10 (2005). Summary: We introduce a new method for computing the foot point of a given point on an implicitly defined curve and compare it with existing local and global methods. As demonstrated in this paper, the implicit representation of curves and surfaces is useful not only for solving intersection problems, but also for foot point computation.For the entire collection see [Zbl 1065.65003]. Cited in 4 Documents MSC: 65D18 Numerical aspects of computer graphics, image analysis, and computational geometry Keywords:foot point; implicitly defined curve; intersection problems × Cite Format Result Cite Review PDF