A Unified Interpolating Subdivision Scheme for Curves/Surfaces by Using Newton Interpolating Polynomial
نویسندگان
چکیده
منابع مشابه
Symmetric Ternary Interpolating C Subdivision Scheme
A ternary 4-point interpolating subdivision scheme is proposed that generates the limiting curve of C1 continuity. Performance of the proposed subdivision scheme is improved using a tension parameter. The improved subdivision scheme generates a family of C1 limiting curves for certain range of tension parameter. Laurent polynomial method is used to investigate the derivative continuity of the s...
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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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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 ...
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1, Department of Mathematics, University of Sargodha, Sargodha, Pakistan Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal, Pakistan [email protected]; [email protected]; [email protected] ABSTRACT. This paper presents the general formula for surface subdivision scheme to subdivide quad meshes by using Lagrange interpolating polynomial. We can see t...
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ژورنال
عنوان ژورنال: Open Journal of Applied Sciences
سال: 2013
ISSN: 2165-3917,2165-3925
DOI: 10.4236/ojapps.2013.33033