The Newton Polygon of a Rational Plane Curve
✍ Scribed by Carlos D’Andrea; Martín Sombra
- Book ID
- 107508920
- Publisher
- Springer-Verlag
- Year
- 2010
- Tongue
- English
- Weight
- 445 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1661-8270
No coin nor oath required. For personal study only.
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We present an algorithm that computes the convex hull of multiple rational curves in the plane. The problem is reformulated as one of finding the zero-sets of polynomial equations in one or two variables; using these zero-sets we characterize curve segments that belong to the boundary of the convex
This paper investigates the first minors M i,j of the Bézout matrix used to implicitize a degreen plane rational curve P(t). It is shown that the degree n -1 curve M i,j = 0 passes through all of the singular points of P(t). Furthermore, the only additional points at which M i,j = 0 and P(t) interse