Generating Smooth Surfaces by Refinement of Curves
نویسندگان
چکیده
منابع مشابه
Generating curves and swept surfaces by blended circles
We present an improved version of the spline curve defined by H.-J. Wenz (1996) for the interpolation of 2D curve data. This trigonometrically blended spline is curvature continuous, interpolates 3D curve data, and is generated by convex combinations of circular arcs and straight line segments. As an application we show a method for rounding off the vertices of spatial polygonal lines and gener...
متن کاملGenerating Functions for the Number of Curves on Abelian Surfaces
Let X be an Abelian surface and C a holomorphic curve in X representing a primitive homology class. The space of genus g curves in the class of C is g dimensional. We count the number of such curves that pass through g generic points and we also count the number of curves in the fixed linear system |C| passing through g − 2 generic points. These two numbers, (defined appropriately) only depend ...
متن کاملModuli of Nodal Curves on Smooth Surfaces of General Type
In this paper we focus on the problem of computing the number of moduli of the so called Severi varieties (denoted by V|D|,δ), which parametrize universal families of irreducible, δ-nodal curves in a complete linear system |D|, on a smooth projective surface S of general type. We determine geometrical and numerical conditions on D and numerical conditions on δ ensuring that such number coincide...
متن کاملFibers of Pencils of Curves on Smooth Surfaces
Let X be a smooth projective surface such that linear and numerical equivalence of divisors on X coincide and let σ ⊆ |D| be a linear pencil on X with integral general fibers. A fiber of σ will be called special if either it is not integral or it has non-generic multiplicity at some of the base points (including the infinitely near ones) of the pencil. In this note we provide an algorithm to co...
متن کاملA Discrete Spring Model for Generating Fair Curves and Surfaces
The ability to generate fair curves and surfaces is important in computer graphics (CG), computer-aided design (CAD), and other geometric modeling applications. In this paper, we present an iteration-based algorithm for generating fair polygonal curves and surfaces that is based on a new discrete spring model. In the spring model, a linear spring, whose length approximately represents a curvatu...
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: Mathematics and Statistics
سال: 2014
ISSN: 2332-2071,2332-2144
DOI: 10.13189/ms.2014.020505