A New Approach to Increase the Flexibility of Curves and Regular Surfaces Produced by 4-Point Ternary Subdivision Scheme

Hameed Rabia; Mustafa Ghulam; Liaqat AminaBaleanu DumitruKhan FaheemAl-Qurashi Maysaa M.Chu Yu-Ming

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A New Approach to Increase the Flexibility of Curves and Regular Surfaces Produced by 4-Point Ternary Subdivision Scheme

机译：A New Approach to Increase the Flexibility of Curves and Regular Surfaces Produced by 4-Point Ternary Subdivision Scheme

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In this article, we present a new subdivision scheme by using an interpolatory subdivision scheme and an approximating subdivision scheme. The construction of the subdivision scheme is based on translation of points of the 4-point interpolatory subdivision scheme to the new position according to three displacement vectors containing two shape parameters. We first study the characteristics of the new subdivision scheme analytically and then present numerical experiments to justify these analytical characteristics geometrically. We also extend the new derived scheme into its bivariate/tensor product version. This bivariate scheme is applicable on quadrilateral meshes to produce smooth limiting surfaces up toC3continuity.

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2020年第36期|6096545.1-6096545.17|共17页
作者
Hameed Rabia; Mustafa Ghulam; Liaqat AminaBaleanu DumitruKhan FaheemAl-Qurashi Maysaa M.Chu Yu-Ming;
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作者单位

Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China|Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China;

Govt Sadiq Coll Women Univ Bahawalpur, Dept Math, Bahawalpur, Pakistan;

Islamia Univ Bahawalpur, Dept Math, Bahawalpur, PakistanCankaya Univ, Dept Math, TR-06530 Ankara, Turkey|Inst Space Sci, Magurele 077125, Romania|China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, TaiwanKing Saud Univ, Fac Sci, Dept Math, Riyadh 11451, Saudi ArabiaUniv Sargodha, Dept Math, Sargodha, Pakistan;

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A New Approach to Increase the Flexibility of Curves and Regular Surfaces Produced by 4-Point Ternary Subdivision Scheme

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