A New 4-Point C3 Quaternary Approximating Subdivision Scheme

نویسندگان

  • Ghulam Mustafa
  • Faheem Khan
  • Boris Shekhtman
چکیده

and Applied Analysis 3 For the analysis of subdivision scheme with mask α, it is very practical to consider the z-transform of the mask,

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 Five-Point Subdivision Scheme with Two Parameters and a Four-Point Shape-Preserving Scheme

In order to improve the flexibility of curves, a new five-point binary approximating subdivision scheme with two parameters is presented. The generating polynomial method is used to investigate the uniform convergence and Ck-continuity of this scheme. In a special case, the five-point scheme changes into a four-point scheme, which can generate C3 limit curves. The shape-preserving properties of...

متن کامل

A ternary 4-point approximating subdivision scheme

In the implementation of subdivision scheme, three of the most important issues are smoothness, size of support, and approximation order. Our objective is to introduce an improved ternary 4-point approximating subdivision scheme derived from cubic polynomial interpolation, which has smaller support and higher smoothness, comparing to binary 4-point and 6-point schemes, ternary 3-point and 4-poi...

متن کامل

The m-Point Quaternary Approximating Subdivision Schemes

In this article, the objective is to introduce an algorithm to produce the quaternary m-point (for any integer ) approximating subdivision schemes, which have smaller support and higher smoothness, comparing to binary and ternary schemes. The proposed algorithm has been derived from uniform B-spline basis function using the Cox-de Boor recursion formula. In order to determine the convergence an...

متن کامل

Unification and Application of 3-point Approximating Subdivision Schemes of Varying Arity

In this paper, we propose and analyze a subdivision scheme which unifies 3-point approximating subdivision schemes of any arity in its compact form and has less support, computational cost and error bounds. The usefulness of the scheme is illustrated by considering different examples along with its comparison with the established subdivision schemes. Moreover, B-splines of degree 4and well know...

متن کامل

A New Approach to Approximating Subdivision Surface Scheme Using Lagrange Interpolating Polynomial

1, Department of Mathematics, University of Sargodha, Sargodha, Pakistan Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal, Pakistan [email protected]; [email protected]; [email protected] ABSTRACT. This paper presents the general formula for surface subdivision scheme to subdivide quad meshes by using Lagrange interpolating polynomial. We can see t...

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 2009