Symmetric Ternary Interpolating C Subdivision Scheme
نویسندگان
چکیده
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 subdivision schemes. The role of the tension parameter is exposed in two examples.
منابع مشابه
Ternary Six-Point Interpolating Subdivision Scheme
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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