Approximate Conversion of Rational Bézier Curves

نویسندگان

  • Byung-Gook Lee
  • Yunbeom Park
چکیده

It is frequently important to approximate a rational Bézier curve by an integral, i.e., polynomial one. This need will arise when a rational Bézier curve is produced in one CAD system and is to be imported into another system, which can only handle polynomial curves. The objective of this paper is to present an algorithm to approximate rational Bézier curves with polynomial curves of higher degree.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Generalization of Rational Bernstein Bézier Curves

This paper is concerned with a generalization of BernsteinBézier curves. A one parameter family of rational BernsteinBézier curves is introduced based on a de Casteljau type algorithm. A subdivision procedure is discussed , and matrix representation and degree elevation formulas are obtained. We also represent conic sections using rational q-BernsteinBézier curves.

متن کامل

Length Estimation of Rational Bézier Curves and Application to CAD Parametrization

We want to estimate the chord length Λ of a given rational Bézier curve efficiently. Since rational Bézier are nonlinear function, it is generally impossible to evaluate its length exactly. We approximate the length by using subdivision and we investigate the accuracy of the approximation Λn. In order to improve the efficiency, we use adaptivity with some length estimator. Additionally, we will...

متن کامل

Circular Approximation by Trigonometric Bézier Curves

Abstract—We present a trigonometric scheme to approximate a circular arc with its two end points and two end tangents/unit tangents. A rational cubic trigonometric Bézier curve is constructed whose end control points are defined by the end points of the circular arc. Weight functions and the remaining control points of the cubic trigonometric Bézier curve are estimated by variational approach t...

متن کامل

Approximating rational triangular Bézier surfaces by polynomial triangular Bézier surfaces

An attractive method for approximating rational triangular Bézier surfaces by polynomial triangular Bézier surfaces is introduced. The main result is that the arbitrary given order derived vectors of a polynomial triangular surface converge uniformly to those of the approximated rational triangular Bézier surface as the elevated degree tends to infinity. The polynomial triangular surface is con...

متن کامل

Interpolatingrational Bézier Spline Curves with Local Shape Control

The paper presents a technique for construction of C interpolating rational Bézier spline curves by means of blending rational quadric Bézier curves. A class of polynomials which satisfy special boundary conditions is used for blending. Properties of the polynomials are considered. The constructed spline curves have local shape control that make them useful in such geometric applications as rea...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1998