Corrigendum to ‘Four point interpolatory-corner cutting subdivision’ [Applied Mathematics and Computation 265 (2015) 819–825]
نویسندگان
چکیده
منابع مشابه
The approximation order of four-point interpolatory curve subdivision
In this paper we derive an approximation property of four-point interpolatory curve subdivision, based on local cubic polynomial fitting. We show that when the scheme is used to generate a limit curve that interpolates given irregularly spaced points, sampled from a curve in any space dimension with a bounded fourth derivative, and the chosen parameterization is chordal, the accuracy is fourth ...
متن کاملCorrigendum to published papers in Applied Mathematics and Computation
The authors appreciate Professor Cheng-De Zheng pointing errors in definition of LMI variable [1–8] and would like to correct an error in definition of an LMI variable of the paper [1–8]. In [1–8], Theorems or Corollaries present stability or stabilization criteria for the system with uncertainties or nonlinear perturbations. In [1–8], the LMI variables H in [1–3,5– 8], Hi ði 1⁄4 1;2Þ in [4], a...
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In this note we examine the convexity preserving properties of the (linear) fourpoint interpolatory subdivision scheme of Dyn, Gregory and Levin when applied to functional univariate strictly convex data. Conditions on the tension parameter guaranteeing preservation of convexity are derived. These conditions depend on the initial data. The resulting scheme is the four-point scheme with tension ...
متن کاملComputation of interpolatory splines via triadic subdivision
We present an algorithm for computation of interpolatory splines of arbitrary order at triadic rational points. The algorithm is based on triadic subdivision of splines. Explicit expressions for the subdivision symbols are established. These are rational functions. The computations are implemented by recursive filtering.
متن کاملThe loss of Holder regularity of four-point interpolatory subdivision on irregularly spaced points
Daubechies, Guskov, and Sweldens studied four-point, cubic-based interpolatory subdivision on irregularly spaced grid points and showed that if a ‘dyadic’ mesh-ratio, λ, where 1/2 ≤ λ ≤ 1, satisfies the bound λ ≤ 2/3, the limit function has Holder regularity C2− for any small > 0. They also conjectured that C2− regularity is maintained for all λ < 1. We show, on the contrary, that for certain g...
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ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2016
ISSN: 0096-3003
DOI: 10.1016/j.amc.2015.07.001