Fairing of discrete planar curves by discrete Euler's elasticae
نویسندگان
چکیده
منابع مشابه
Discrete Fairing
We address the general problem of, given a triangular net of arbitrary topology in IR 3 , nd a re ned net which contains the original vertices and yields an improved approximation of a smooth and fair interpolating surface. The (topological) mesh re nement is performed by uniform subdivision of the original triangles while the (geometric) position of the newly inserted vertices is determined by...
متن کاملDiscrete Smooth Interpolation: Constrained Discrete Fairing for Arbitrary Meshes
In this paper, it is shown how the Discrete Smooth Interpolation method (D.S.I.) may be used as a new framework for creating, fairing and editing triangulated surfaces. Given an arbitrary mesh with an arbitrary set of vertices fixed by the user, D.S.I. assigns coordinates to the other nodes of the mesh, enabling the fixed vertices to be interpolated smoothly. The squared discrete Laplacian crit...
متن کاملDiscrete Local Fairing of B-Spline Surfaces
Many surfaces can be modeled by interpolating data points digitized from existing products. But the digitized data points could have measuring errors. To adjust the points, fairing is performed. We present an automatic local fairing algorithm using nonlinear programming. For the objective function of the algorithm, we derive discrete fairness metrics. The metrics are consisted of discrete princ...
متن کاملTarget Curvature Based Automatic Fairing of Planar B-Spline Curves
A new automatic local fairing technique for planar B-spline curves is presented in this paper. According to the design intent, a target curvature plot, which is provided by the designer, is used to identify ‘bad’ points and ‘bad’ curve segments. Then, the corresponding control points are modified in a process of local constrained optimization where the importance of fairness in the sense of ene...
متن کاملDiscrete Fairing of Curves and Surfaces Based on Linear Curvature Distribution
In the planar case, one possibility to create a high quality curve that interpolates a given set of points is to use a clothoid spline, which is a curvature continuous curve with linear curvature segments. In the rst part of the paper we develop an e cient fairing algorithm that calculates the discrete analogon of a closed clothoid spline. In the second part we show how this discrete linear cur...
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: JSIAM Letters
سال: 2019
ISSN: 1883-0609,1883-0617
DOI: 10.14495/jsiaml.11.73