A Computational Method for Subdivision Depth of Ternary Schemes
نویسندگان
چکیده
منابع مشابه
Construction of Ternary Approximating Subdivision Schemes
In this, an algorithm to produce ternary m-point (for any integer m ≥ 2) approximating subdivision scheme has been introduced that can generate the families of C limiting curves. The proposed scheme has developed using the uniform B-spline blending functions and its convergence is analyzed by Laurent polynomial method. It is concluded that the existing 2-point, 3-point and 5-point ternary appro...
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The generating function formalism is used to analyze the continuity properties of univariate ternary subdivision schemes. These are compared with their binary counterparts.
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A generic technique for construction of ternary interpolatory subdivision schemes, which is based on polynomial and discrete splines, is presented. These schemes have rational symbols. The symbols are explicitly presented in the paper. This is accompanied by a detailed description of the design of the refinement masks and by algorithms that verify the convergence of these schemes. In addition, ...
متن کاملTernary approximating non - stationary subdivision schemes for curve design
In this paper, an algorithm has been introduced to produce ternary 2m-point (for any integer m≥ 1) approximating non-stationary subdivision schemes which can generate the linear spaces spanned by {1; cos(α.); sin(α.)}. The theory of asymptotic equivalence is being used to analyze the convergence and smoothness of the schemes. The proposed algorithm can be consider as the non-stationary counter ...
متن کاملFurther analysis of ternary and 3-point univariate subdivision schemes
The precision set, approximation order and Hölder exponent are derived for each of the univariate subdivision schemes described in [3] and [4].
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ژورنال
عنوان ژورنال: Mathematics
سال: 2020
ISSN: 2227-7390
DOI: 10.3390/math8050817