Stationary and nonstationary affine combination of subdivision masks
نویسنده
چکیده
One of the difficult task in subdivision is to create new effective subdivision schemes. Therefore, aim of this paper is a systematic analysis of affine combination of known subdivision masks to generate new subdivision schemes with enhanced properties. This will be done in the stationary and the non stationary case for the univariate and bivariate settings. © 2009 IMACS. Published by Elsevier B.V. All rights reserved.
منابع مشابه
A 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 کاملMultivariate Approximation: Theory and Applications
A set of irregularly distributed points is fitted to a Least-Squares approximating surface constructed as linear combination of wavelets. The construction proceeds adaptively on a coarse-to-fine refinement. We discuss by numerical experiments the efficiency of the method in relation to iterative solution procedures. Furthermore, we present extensions of the method that allow to cope with wrong ...
متن کاملThe Stationary - NonStationary Process and The Variable Roots Difference Equations
Stochastic, processes can be stationary or nonstationary. They depend on the magnitude of shocks. In other words, in an auto regressive model of order one, the estimated coefficient is not constant. Another finding of this paper is the relation between estimated coefficients and residuals. We also develop a catastrophe and chaos theory for change of roots from stationary to a nonstationary one ...
متن کاملFrom approximating to interpolatory non-stationary subdivision schemes with the same generation properties
In this paper we describe a general, computationally feasible strategy to deduce a family of interpolatory non-stationary subdivision schemes from a symmetric non-stationary, non-interpolatory one satisfying quite mild assumptions. To achieve this result we extend our previous work [C. Conti, L. Gemignani, L. Romani, Linear Algebra Appl. 431 (2009), no. 10, 1971– 1987] to full generality by rem...
متن کاملRegularity of Non-Stationary Multivariate Subdivision
In this paper, we study scalar multivariate non-stationary subdivision schemes with integer dilation matrixM = mI, m ≥ 2, and present a general approach for checking their convergence and for determining their Hölder regularity. The combination of the concepts of asymptotic similarity and approximate sum rules allows us to link stationary and nonstationary settings and to employ recent advances...
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:
- Mathematics and Computers in Simulation
دوره 81 شماره
صفحات -
تاریخ انتشار 2010