Adjustable Tangent Points Trigonometric Bézier Curve of Two Order with#br#
Shape Parameters

doi:10.11996/JG.j.2095-302X.2017040463

Abstract

Abstract: A trigonometric Bézier basic functions of two order with shape parameters are constructed.
By using of position parameters, the adjustable tangent points trigonometric Bézier curve of two order
with shape parameters is defined. It retains the properties of Bézier curve. Its shape and tangent points
are adjustable. And it can accurately represent ellipse and circle. The curves are G1 continuous and
the condition of curves blending is simple. Examples illustrate the method is effective for curve and
surface design.

Key words: triangular Bézier curve, shape parameter, continuity, adjustable tangent point, curve
blending

PENG Xingxuan, PAN Jing, CHEN Xuejiao, JIANG Xinxin. Adjustable Tangent Points Trigonometric Bézier Curve of Two Order with#br# Shape Parameters[J]. Journal of Graphics, DOI: 10.11996/JG.j.2095-302X.2017040463.

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Adjustable Tangent Points Trigonometric Bézier Curve of Two Order with#br# Shape Parameters

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