Tropical limit of log-inflection points for planar curves
نویسندگان
چکیده
منابع مشابه
Inflection points and singularities on C-curves
We show that all so-called C-curves are affine images of trochoids or sine curves and use this relation to investigate the occurrence of inflection points, cusps, and loops. The results are summarized in a shape diagram of C-Bézier curves, which is useful when using C-Bézier curves for curve and surface modeling. 2003 Elsevier B.V. All rights reserved.
متن کاملInput of Log-aesthetic Curve Segments with Inflection End Points and Generation of Log-aesthetic Curves with G continuity
The log-aesthetic curves include the logarithmic (equiangular) spiral, clothoid, and involute curves. Although most of them are expressed only by an integral form of the tangent vector, it is possible to interactively generate and deform them and they are expected to be utilized for practical use of industrial and graphical design. However, their input method proposed so far by use of three soc...
متن کاملComputing real inflection points of cubic algebraic curves
Shape modeling using planar cubic algebraic curves calls for computing the real inflection points of these curves since inflection points represents important shape feature. A real inflection point is also required for transforming projectively a planar cubic algebraic curve to the normal form, in order to facilitate further analysis of the curve. However, the naive method for computing the inf...
متن کاملIdentification of inflection points and cusps on rational curves
Using homogeneous coordinates, a rational curve can be represented in a nonrational form. Based on such a nonrational representation of a curve, a simple method to identify inflection points and cusps on 2-D and 3-D rational curves is proposed. © 1997 Elsevier Science B.V.
متن کاملTree-like Curves and Their Number of Inflection Points
In this short note we give a criterion when a planar tree-like curve, i.e. a generic curve in R 2 each double point of which cuts it into two disjoint parts, can be send by a diffeomorphism of R 2 onto a curve with no inflection points. We also present some upper and lower bounds for the minimal number of inflection points on such curves unremovable by diffeomorphisms of R 2. §1. Introduction T...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Sbornik: Mathematics
سال: 2018
ISSN: 1064-5616,1468-4802
DOI: 10.1070/sm8963