Fractal Behavior of a Ternary 4-Point Rational Interpolation Subdivision Scheme
نویسندگان
چکیده
منابع مشابه
A ternary 4-point approximating subdivision scheme
In the implementation of subdivision scheme, three of the most important issues are smoothness, size of support, and approximation order. Our objective is to introduce an improved ternary 4-point approximating subdivision scheme derived from cubic polynomial interpolation, which has smaller support and higher smoothness, comparing to binary 4-point and 6-point schemes, ternary 3-point and 4-poi...
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A novel 4-point ternary interpolatory subdivision scheme with a tension parameter is analyzed. It is shown that for a certain range of the tension parameter the resulting curve is C2. The role of the tension parameter is demonstrated by a few examples. There is a brief discussion of computational costs. 2001 Elsevier Science B.V. All rights reserved.
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Wepresent ternary six-point interpolating subdivision schemewith one shape parameter for curve design. The behavior of the limit curve defined by the scheme is analyzed in terms of the Laurent polynomial and attains C degree of smoothness. 2000 Mathematics Subject Classification: 65D17, 65D07, 65D05 DOI: 10.1134/S1995080208030062
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Hassan et al. proposed a 4-point ternary interpolatory scheme with smaller sizes of the templates for the local averaging rules and with higher order smoothness property compared to most of the existing binary ones. It can be C-continuous when the subdivision parameter is chosen in a certain range. In this paper, we further investigate its differentiable properties to extend its application in ...
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In this paper we present a non-stationary 4-point ternary interpolatory subdivision scheme which provides the user with a tension parameter that, when increased within its range of definition, can generate C2-continuous limit curves showing considerable variations of shape. As a generalization we additionally propose a locally-controlled C2-continuous subdivision scheme, which allows a differen...
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ژورنال
عنوان ژورنال: Mathematical and Computational Applications
سال: 2018
ISSN: 2297-8747
DOI: 10.3390/mca23040065