Four-Point n-Ary Interpolating Subdivision Schemes
نویسندگان
چکیده
andApplied Analysis Hindawi Publishing Corporationhttp://www.hindawi.comVolume 2013 ISRNAppliedMathematics Hindawi Publishing Corporationhttp://www.hindawi.comVolume 2013Hindawi Publishing Corporationhttp://www.hindawi.comVolume 2013International Journal ofCombinatorics Hindawi Publishing Corporationhttp://www.hindawi.comVolume 2013Journal of Function Spacesand Applications InternationalJournal ofMathematics andMathematicalSciences Hindawi Publishing Corporationhttp://www.hindawi.comVolume 2013
منابع مشابه
The Mask of Odd Points n-Ary Interpolating Subdivision Scheme
We present an explicit formula for the mask of odd points n-ary, for any odd n 3, interpolating subdivision schemes. This formula provides the mask of lower and higher arity schemes. The 3-point and 5-point a-ary schemes introduced by Lian, 2008, and 2m 1 -point a-ary schemes introduced by, Lian, 2009, are special cases of our explicit formula. Moreover, other well-known existing odd point n-ar...
متن کاملA Family of 4-Point n-Ary Interpolating Scheme Reproducing Conics
The n-ary subdivision schemes contrast favorably with their binary analogues because they are capable to produce limit functions with the same (or higher) smoothness but smaller support. We present an algorithm to generate the 4-point n-ary non-stationary scheme for trigonometric, hyperbolic and polynomial case with the parameter for describing curves. The performance, analysis and comparison o...
متن کاملA 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 کاملSymbols and exact regularity of symmetric pseudo-splines of any arity
Pseudo-splines form a family of subdivision schemes that provide a natural blend between interpolating schemes and approximating schemes, including the Dubuc-Deslauriers schemes and B-spline schemes. Using a generating function approach, we derive expressions for the symbols of the symmetric m-ary pseudo-spline subdivision schemes. We show that their masks have positive Fourier transform, makin...
متن کاملScrewBender: Polyscrew Subdivision for Smoothing Interpolating Motions
An ordered series of control poses may be interpolated by a polyscrew rigid body motion composed of a series of screws, each interpolating a pair of consecutive control poses. The trajectory of each point during screw motion is (C∞). Although a polyscrew is continuous, velocities are typically discontinuous at control poses when the motion switches between screws. We obtain a smooth motion by s...
متن کاملذخیره 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 ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2013 شماره
صفحات -
تاریخ انتشار 2013