Bezout-like polynomial equations associated with dual univariate interpolating subdivision schemes
نویسندگان
چکیده
The algebraic characterization of dual univariate interpolating subdivision schemes is investigated. Specifically, we provide a constructive approach for finding based on the solutions certain associated polynomial equations. proposed also makes it possible to identify conditions existence sought schemes.
منابع مشابه
Polynomial reproduction for univariate subdivision schemes of any arity
In this paper we study the ability of convergent subdivision schemes to reproduce polynomials in the sense that for initial data, which is sampled from some polynomial function, the scheme yields the same polynomial in the limit. This property is desirable because the reproduction of polynomials up to some degree d implies that a scheme has approximation order d +1. We first show that any conve...
متن کاملFour-Point n-Ary Interpolating Subdivision Schemes
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 2013Jou...
متن کاملSurface Design Using Locally Interpolating Subdivision Schemes
Non-uniform multivariate subdivision schemes are constructed, which generate limit functions interpolating some of the initial control points. Our schemes diier from the known interpolatory subdivision schemes, in that only some of the original control points are interpolated, and not the control points in every level. These new schemes are combinations of a non-interpolatory schemes with diier...
متن کاملA unified framework for interpolating and approximating univariate subdivision
In this paper we show that the refinement rules of interpolating and approximating univariate subdivision schemes with odd-width masks of finite support can be derived ones from the others by simple operations on the mask coefficients. These operations are formalized as multiplication/division of the associated generating functions by a proper link polynomial. We then apply the proposed result ...
متن کاملAnalysis and Design of Univariate Subdivision Schemes
When there are many people who don't need to expect something more than the benefits to take, we will suggest you to have willing to reach all benefits. Be sure and surely do to take this analysis and design of univariate subdivision schemes that gives the best reasons to read. When you really need to get the reason why, this analysis and design of univariate subdivision schemes book will proba...
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: Advances in Computational Mathematics
سال: 2022
ISSN: ['1019-7168', '1572-9044']
DOI: https://doi.org/10.1007/s10444-021-09912-4