Degree reduction of Béezier curves using constrained Chebyshev polynomials of the second kind

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Generalized Chebyshev polynomials of the second kind

We characterize the generalized Chebyshev polynomials of the second kind (Chebyshev-II), and then we provide a closed form of the generalized Chebyshev-II polynomials using the Bernstein basis. These polynomials can be used to describe the approximation of continuous functions by Chebyshev interpolation and Chebyshev series and how to efficiently compute such approximations. We conclude the pap...

متن کامل

Application of Chebyshev Polynomials for Solving Abel's Integral Equations of the First and Second Kind

In this paper, a numerical implementation of an expansion method is developed for solving Abel's integral equations of the first and second kind. The solution of such equations may demonstrate a singular behaviour in the neighbourhood of the initial point of the interval ofintegration. The suggested method is based on the use of Taylor series expansion to overcome the singularity which le...

متن کامل

Constrained multi-degree reduction of Bézier surfaces using Jacobi polynomials

Article history: Received 9 March 2007 Received in revised form 16 June 2008 Accepted 20 October 2008 Available online 1 November 2008

متن کامل

A spectral method based on the second kind Chebyshev polynomials for solving a class of fractional optimal control problems

In this paper, we consider the second-kind Chebyshev polynomials (SKCPs) for the numerical solution of the fractional optimal control problems (FOCPs). Firstly, an introduction of the fractional calculus and properties of the shifted SKCPs are given and then operational matrix of fractional integration is introduced. Next, these properties are used together with the Legendre-Gauss quadrature fo...

متن کامل

Drawing Parametric Curves Using Chebyshev Polynomials

Polynomial parametric curves are powerful and popular modeling tools in Computer Graphics and Computer Aided Design. There are two requirements that are placed on techniques for displaying these curves. In interactive applications, such as drawing and design, the need is for a fast display. In non interactive applications, such as typeset ting, the need is for accuracy (or at least the appearan...

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

ژورنال

عنوان ژورنال: The ANZIAM Journal

سال: 2003

ISSN: 1446-1811,1446-8735

DOI: 10.1017/s1446181100013262