Enhancing flexibility and control in κ-curve using fractional Bézier curves

Said Mad Zain, Syed Ahmad Aidil Adha; Misro, Md Yushalify; Miura, Kenjiro T.

doi:10.1016/j.aej.2024.01.047

Alexandria Engineering Journal

2024

DOI: 10.1016/j.aej.2024.01.047

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Enhancing flexibility and control in κ-curve using fractional Bézier curves

Syed Ahmad Aidil Adha Said Mad Zain,

Md Yushalify Misro,

Kenjiro T. Miura

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2024

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An analysis on the shape-preserving characteristics of 𝜆-Schurer operators

Turhan Turan,

Ödemiş Özger

2024

Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

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This study investigates the shape-preserving characteristics of 𝜆-Schurer operators, a class of operators derived from a modified version of the classical Schurer bases by incorporating a shape parameter 𝜆. The primary focus is on understanding how these operators maintain the geometric features of the functions they approximate, which is crucial in fields like computer graphics and geometric modelling. By examining the fundamental properties and the divided differences associated with 𝜆-Schurer bases, we derive vital results that confirm the operators’ capability to preserve essential shape attributes under various conditions. The findings have significant implications for the application of these operators in computational analysis and other related areas, providing a solid foundation for future research.

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An analysis on the shape-preserving characteristics of 𝜆-Schurer operators

Turhan Turan,

Ödemiş Özger

2024

Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

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show abstract

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Enhancing flexibility and control in κ-curve using fractional Bézier curves

Cited by 1 publication

References 15 publications

An analysis on the shape-preserving characteristics of 𝜆-Schurer operators

An analysis on the shape-preserving characteristics of 𝜆-Schurer operators

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