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2013•Computer Engineering and Applications JournalOpen access

A class of quasi-quartic trigonometric polynomial Bézier curves with double parameters and its extension

YU Deshen

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Abstract

A class of quasi-quartic trigonometric polynomial Bezier curves with double parameters and its extension are defined.The properties of the class of the curves and its extension are obtained,and the necessary and sufficient conditions for G1(C1) G2(C2) continuously joining with two segments of quasi-quartic trigonometric polynomial Bezier curves and two extensions are given.The applications of them are discussed.Experimental examples show that the class of the curves and its extensions have stronger abilities in curve designing,especially in designing of non-symmetry figures.

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A class of quasi-quartic trigonometric polynomial Bezier curves with double parameters and its extension are defined.The properties of the class of the curves and its extension are obtained,and the necessary and sufficient conditions for G1(C1) G2(C2) continuously joining with two segments of quasi-quartic trigonometric polynomial Bezier curves and two extensions are given.The applications of them are discussed.Experimental examples show that the class of the curves and its extensions have stronger abilities in curve designing,especially in designing of non-symmetry figures.

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Available abstract

A class of quasi-quartic trigonometric polynomial Bezier curves with double parameters and its extension are defined.The properties of the class of the curves and its extension are obtained,and the necessary and sufficient conditions for G1(C1) G2(C2) continuously joining with two segments of quasi-quartic trigonometric polynomial Bezier curves and two extensions are given.The applications of them are discussed.Experimental examples show that the class of the curves and its extensions have stronger abilities in curve designing,especially in designing of non-symmetry figures.

Key concepts: Quartic function, Mathematics, Bézier curve, Extension (predicate logic), Trigonometric polynomial, Class (philosophy), Trigonometry, Polynomial

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